ALLIGATIONS AND MIXTURES IBPS PO EXAM PREPARATION

Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 1
ALLIGATION OR MIXTURE
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 2
ALLIGATION OR MIXTURE
IMPORTANT FACTS AND FORMULAE
1. Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at
the given price must be mixed to produce a mixture of a desired price.
2. Mean Price: The cost price of a unit quantity of the mixture is called the mean price.
3. Rule of Alligation: If two ingredients are mixed, then
(Quantity of cheaper) = (C.P. of dearer) - (Mean price)
(Quantity of dearer) (Mean price) - (C.P. of cheaper)
We present as under:
C.P. of a unit quantity of cheaper C.P. of a unit quantity of dearer
(c) (d)
(m)
(d-m) (m-c)
 (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c).
4. Suppose a container contains x units of liquid from which y units are taken out and replaced
by water. After n operations the quantity of pure liquid=[ x(1-y/x)^n]units.
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 3
SOLVED EXAMPLES
Ex. 1. In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so
that the mixture be worth Rs. 10 per kg ?
Sol. By the rule of alligation, we have:
C.P. of 1 kg rice of 1st kind (in paise) C.P. of 1 kg rice of 2nd kind (in paise)
930 1080 .
.
Mean price
(in paise)
1000
80 70
:. Required ratio = 80 : 70 = 8 : 7.
Ex. 2. How much water must be added to 60 litres of milk at 1 ½ litres for Rs. 20
So as to have a mixture worth Rs.10 2/3 a litre ?
Sol. C.P. of 1 litre of milk = Rs. (20 x 2/3) = Rs. 40/3
c.p of 1 litre of milk c.p of 1 litre of milk
0 Rs.40
3
Mean price
(Rs. 32 )
3
(40/3-32/3)=8/3 (32/3-0)=32/3
Ratio of water and milk =8 : 32 = 8 : 32 = 1 : 4
3 3
Quantity of water to be added to 60 litres of milk = [1/4 X 60 ]litres =15 litre
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 4
Ex. 3. In what ratio must water be mixed with milk to gain 20% by selling the mixture at
cost price?
Sol. Let C.P. of milk be Re. 1 per litre.
Then, S.P. of 1 litre of mixture = Re. 1.
Gain obtained = 20%.
 C.P. of 1 litre of mixture = Rs.[(100/120)* 1]=Rs.5/6
By the rule of alligation, we have:
C.P. of 1 litre of water C.P. of1litre ofmilk
0 Re.1
(Re. 5/6)
(1- (5/6))= 1/6 ((5/6)-0)=5/6
Ratio of water and milk = 1/6 : 5/6
Ex. 4. .How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice
costing Rs. 6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20
per kg ?
Sol. S.P. of 1 kg mixture = Rs. 7.20,Gain = 20%.
 C.P. of 1 kg mixture = Rs.[(100/120)*7.20]=Rs. 6.
By the rule of alligation, we have:
C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind
(800p) . (540 p)
Mean price
( 600 p)
60 200
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 5
Wheat of 1st kind : Wheat of 2nd kind = 60 : 200 = 3 : 10.
Let x kg of wheat of 1st kind be mixed with 36 kg of wheat of 2nd kind.
Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 10.8 kg.
Ex. 5. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively.
In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C
containing half milk and half water?
Sol. Let the C.P. of milk be Re. 1 per litre
Milk in 1 litre mixture of A = 4/7litre; Milk in 1 litre mixture of B = 2/5 litre;
Milk in 1 litre mixture of C = ½ litre
C.P. of 1 litre mixture in A = Re .4/7; C.P. of 1 litre mixture in B = Re.2/5
Mean price = Re.1/2
By the rule of alligation, we have:
C.P. of 1 litre mix. in A C.P. of 1 litre mix. in B
(4/7) (2/5)
(1/2)
(1/10) (1/14)
:.Required ratio = 1/10 : 1/14 = 7 : 5
Ex. 6. In what proportion must rice at Rs. 3.10 per kg be mixed with rice at Rs. 3.60 per kg
so that the mixture be worth Rs. 3.25 per kg ?
Sol. By the rule of alligation, we have:
C.P. of 1 kg rice of Cheaper rice (in paise) C.P. of 1 kg rice of dearer rice (in paise)
310 360 .
.
Mean price
(in paise)
325
35 15
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 6
By the allegation rule:
(Quantity of cheaper rice) = 35/15=7/3
(Quantity of dearer rice)
:. They must be mixed in the ratio 7:3.
Ex. 7. How many kilograms of sugar costing Rs.6.10 per kg.must be mixed with 126 kg. of
sugar costing Rs. 2.85 per kg. so that 20% may be gained by selling the mixture at Rs. 4.80
per kg.?
Sol: S.p of 1Kg. of mixture = Rs. 4.80,Gain=20%.
 C.P of kg. of mixture = Rs. [(100/120)*4.80] =Rs. 4.
C.P. of 1 kg of Cheaper Sugar (in paise) C.P. of 1 kg rice of dearer sugar (in paise)
285 610
Mean price
(in paise)
400
210 115
 (Quantity of cheaper sugar) = 210/115=42/23.
(Quantity of dearer sugar)
If cheaper sugar is 42 kg., dearer one=23 kg.
If cheaper sugar is 126 kg., dearer one=[(23/42)*126]kg.=69 kg.
Ex. 8. In what ratio must a person mix three kinds of wheat costing him Rs. 1.20,Rs. 1.44
and Rs. 1.74 per kg., so that the mixture may be worth Rs. 1.41 per kg?
Sol: step 1. Mix wheats of first and third kind to get a mixture worth Rs. 1.41 per kg.
C.P. of 1kg. Wheat of 1st kind C.P. of I kg. wheat of 3rd kind
120paise 174 paise
Mean price
141 price
33 21
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 7
By allegation rule :
(Quantity of 1st kind of wheat) = 33 = 11
(Quantity of 3rd kind of wheat) 21 7
i.e., they must be mixed in the ratio 11:7.
Step 2. Mix wheats of first and second kind to get a mixture worth Rs. 1.41 per kg.
C.P. of 1kg. Wheat of 1st kind C.P. of I kg. wheat of 2nd kind
120paise 144 paise
Mean price
141 price
3 21
By alligation rule :
(Quantity of 1st kind of wheat) = 3 = 1
(Quantity of 3rd kind of wheat) 21 7
i.e., they must be mixed in the ratio 1:7.
Thus, (Quantity of 2nd kind of wheat)
(Quantity of 1st kind of wheat)
= (Quantity of 2nd kind of wheat) x (Quantity of 1st kind of wheat)
(Quantity of 1st kind of wheat) (Quantity of 3rd kind of wheat)
= [(7/1)*(11/7)]=11/1.
 Quantities of wheat of(1st kind : 2nd kind : 3rd kind)=(1:7:7/11) = (11:77:7).
Ex. 9. A butler stole wine from a butt of sherry which contained 40% of spirit and he
replaced what he had stolen by wine containing only 16% spirit. The butt was then of 24%
strength only. How much of the butt did he steal?
Sol:
Wine containing Wine containing
40% spirit 16% spirit
Wine containing
24% spirit
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 8
8 16
 By allegation rule:
(Wine with 40% spirit) = 8 = 1
(Wine with 16% spirit) 16 2
i.e., they must be mixed in the ratio (1:2).
Thus 1/3 of the butt of sherry was left and hence the butler drew out 2/3 of the butt.
Ex. 10. The average weekly salary per head of the entire staff of a factory consisting of
supervisors and the labourers is Rs. 60. The average salary per head of the supervisors is
Rs. 400 and that of the labourers is Rs. 56. Given that the number of supervisors is 12, find
the number of labourers in the factory.
Sol: Average salary of labourers Average salary of supervisors
Rs. 56 Rs. 400
Mean
Rs. 60
340 4
 By allegation rule:
(Number of labourers) = 340 = 85
(Number of supervisors) 4 1
Thus the number of supervisors is 1, number of labourers = 85.
 if the number of supervisors is 12, number of labourers = 85*12 =1020.
Ex. 11. A man possessing Rs. 8400 lent a part of it at 8% simple interest and the remaining
at 6 2/3% simple interest .His total income after 1 ½ years was Rs. 882. Find the sum lent at
different rates.
Sol: Total interest on Rs. 84.. for 1 ½ years is Rs. 882.
 Rate of interest = 100 x882x2 = 7%
8400x3
Rate % of 1st sum Rate % of 2nd sum
8% 6 2/3 %
Average Rate
7%
1 1
3
By alligation rule,
Money given at 8% S.I = 1: 1= 1:3
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 9
Money given at 6 2/3% S.I 3
Money lent at 8% = Rs. [8400 *(1/4)] = Rs. 2100.
Money lent at 6 2/3% = Rs. [8400 *(3/4)] = Rs. 6300.
Ex. 12. A man travelled a distance of 80 km. in 7 hours partly on foot at the rate of 8 km.
per hour and partly on bicycle at 16 km. per hour. Find the distance travelled on foot.
Sol. Average distance travelled in one hour =80/7 km.
Dist. Covered in 1 hr. on foot Dist. Covered in 1 hr. on bicycle
8 km. 16 km.
Average in 1 hr.
80 km.
32 7 24
7 7
By alligation rule,
Time taken on foot = 32 = 4:3
Time taken on bicycle 24
Thus out of 7 hours in all, he took 4 hours to travel on foot.
Distance covered on foot in 4 hours=(4x8)km=32 km.
Ex. 13. A sum of Rs. 41 was divided among 50boys and girls. Each boy gets 90 paise and a
girl 65 paise. Find the number of boys and girls.
Sol. Average money received by each =Rs. 41=82 p.
Sum received by each boy Sum received by each girl
90 paise 65 paise
Average
82 paise
17 8
By alligation rule,
Ratio of boys and girls=17:8.
Ex. 14. A lump of two metals weighting 18 gms. Is worth Rs. 87 but if their weights be
interchanged , it would be worth Rs. 78.60. if the price of one metal be Rs. 6.70 per gm.,
find the weight of the other metal in the mixture.
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 10
Sol. If one lump is mixed with the quantitiesof metals interchanged then the mixture of the two
lumps would contain 18gm. Of first metal and 18gm. Of second metal and the price of the
mixture would be Rs. (87+78.60) or 165.60.
cost of(18gm. Of 1st metal+18 gm. Of 2nd metal) = Rs. 165.60
So, cost of (1 gm. of 1st metal+1 gm. of 2nd metal) = Rs. 165.60 = Rs. 9.20.
18
(cost of 1 gm. of 1st metal) + (cost of 1 gm. of 2nd metal) = Rs. 9.20.
cost of 1 gm. of 2nd metal = Rs. (Rs. 9.20 – 6.70)= Rs. 2.50.
Now, mean price of lump = Rs. 87 per gm. = Rs. 29
18 6
C.P of 1 gm of 1st metal C.P of 1 gm. of 2nd metal
Rs. 6.70 Rs. 2.50
Mean price
Rs. 29
14 6 56
6 30
By alligation rule,
Quantity of 1st metal = 14 : 56 = 5:4
Quantity of 2nd metal 6 30
In 9 gm. of mix., 2nd metal = 4gm.
In 18 gm. of mix., 2nd metal = 4 x 18 gm. = 8 gm.
9
Ex. 15. A container contains 80 kg. of milk. From this container , 8kg. of milk was taken
out and replaced by water. This process was further repeated two times. How much milk is
now contained by the container?
Remarks. Amount of liquid left after n operations , when the container originally contains x
units of liquids, from which y units is taken out each time is =[ x(1-y/x)^n]units.
Sol. Amount of milk left = 80[(1-(8/80)3)] kg.
= 58.34 kg.
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 11
EXERCISE PROBLEMS:
1. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the
mixture must be drawn off and replaced with water so that the mixture may be half water and
half syrup?
A. 1
3
B. 1
4
C. 1
5
D. 1
7
Answer: Option C
Explanation:
Suppose the vessel initially contains 8 liters of liquid.
Let x liters of this liquid be replaced with water.
Quantity of water in new mixture = 3 -
3x
8 + x liters
Quantity of syrup in new mixture = 5 -
5x
8 liters
3 -
3x
+ x = 5 -
5x
8 8
5x + 24 = 40 - 5x
10x = 16
x =
8
5
So, part of the mixture replaced =
8 x1
=
1
5 8 5
2. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2.
If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
A.Rs. 169.50 B.Rs. 170
C.Rs. 175.50 D.Rs. 180
Answer: Option C
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 12
Explanation:
Since first and second varieties are mixed in equal proportions.
So, their average price = Rs.
126 + 135
= Rs. 130.50
2
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say,
Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
Cost of 1 kg of 1st kind Cost of 1 kg tea of 2nd kind
Rs. 130.50
Mean Price
Rs. 153
Rs. x
(x-153)
22.50
 x - 153 = 1
22.50
x - 153 = 22.50
x = 175.50
3. A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are
drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of
liquid A was contained by the can initially?
A.10 B.20
C.21 D.25
Answer: Option C
Explanation:
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Quantity of A in mixture left = 7x -
7
x 9 liters = 7x -
21
12 4 liters.
Quantity of B in mixture left = 5x -
5
x 9 liters = 5x -
15
12 4 liters.
7x -
21
4 = 7
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 13
9
5x -
15
4 + 9
28x - 21
=
7
20x + 21 9
252x - 189 = 140x + 147
112x = 336
x = 3.
So, the can contained 21 litres of A.
4. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second
contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters
of milk such that the ratio of water to milk is 3: 5?
A.4 liters, 8 liters B.6 liters, 6 liters
C.5 liters, 7 liters D.7 liters, 5 liters
Answer: Option B
Explanation:
Let the cost of 1 liter milk be Re. 1
Milk in 1 liter mix. in 1st can =
3
liter, C.P. of 1 liter mix. in 1st can Re.
3
4 4
Milk in 1 liter mix. in 2nd can =
1
liter, C.P. of 1 liter mix. in 2nd can Re.
1
2 2
Milk in 1 liter of final mix. =
5
liter, Mean price = Re.
5
8 8
By the rule of alligation, we have:
C.P. of 1 liter mixture in 1st can C.P. of 1 liter mixture in 2nd can
3
4
Mean Price
5
8
1
2
1
8 1
8
Ratio of two mixtures =
1
:
1
= 1: 1.
8 8
So, quantity of mixture taken from each can =
1
x 12 = 6 litres.
2
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 14
5. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg
respectively so as to get a mixture worth Rs. 16.50 kg?
A.3 : 7 B.5 : 7
C.7 : 3 D.7 : 5
Answer: Option C
Explanation:
By the rule of alligation:
Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2nd kind
Rs. 15
Mean Price
Rs. 16.50
Rs. 20
3.50 1.50
Required rate = 3.50 : 1.50 = 7 : 3.
6. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and
thereby gains 25%. The percentage of water in the mixture is:
A.4% B.6 ¼ %
C.20% D.25%
Answer: Option C
Explanation:
Let C.P. of 1 liter milk be Re. 1
Then, S.P. of 1 liter of mixture = Re. 1, Gain = 25%.
C.P. of 1 liter mixture = Re.
100
x 1 =
4
125 5
By the rule of alligation, we have:
C.P. of 1 liter of milk C.P. of 1 liter of water
Re. 1 0
Mean Price
Re.
4
5
4
5
1
5
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 15
Ratio of milk to water =
4
:
1
= 4 : 1.
5 5
Hence, percentage of water in the mixture =[(1/5)*100]%=20% .
7. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing
Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
A.36 kg B.42 kg
C.54 kg D.63 kg
Answer: Option D
Explanation:
S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.
C.P. of 1 kg of mixture = Rs.
100
x 9.24 = Rs. 8.40
110
By the rule of alligation, we have:
C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind
Rs. 9
Mean Price
Rs. 8.40
Rs. 7
1.40 0.60
Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
x =
7 x 27
= 63 kg.
3
8. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and
replaced by water. This process was repeated further two times. How much milk is now
contained by the container?
A.26.34 litres B.27.36 litres
C.28 litres D.29.l6 litres
Answer: Option D
Explanation:
Amount of milk left after 3 operations = [40(1- 4/40 )3] liters
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 16
= 40 x
9
x
9
x
9
= 29.16 liters.
10 10 10
9. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another
containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of
whisky replaced is:
A.
1
3
B.
2
3
C.
2
5
D.
3
5
Answer: Option B
Explanation:
By the rule of alligation , we have:
Strength of first jar Strength of 2nd jar
40%
Mean
Strength
26%
19%
7 14
So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2
Required quantity replaced =
2
3
10. In what ratio must water be mixed with milk to gain 16 % on selling the mixture at cost
price?
A.1 : 6 B.6 : 1
C.2 : 3 D.4 : 3
Answer: Option A
Explanation:
Let C.P. of 1 litre milk be Re. 1.
S.P. of 1 litre of mixture = Re.1, Gain =
50
%.
3
C.P. of 1 litre of mixture = 100 x
3
x 1 =
6
350 7
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 17
By the rule of alligation, we have:
C.P. of 1 litre of water C.P. of 1 litre of milk
0
Mean Price
Re.
6
7
Re. 1
1
7
6
7
Ratio of water and milk =
1
:
6
= 1 : 6.
7 7
11. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a
mixture worth Rs. 6.30 a kg.
A.1 : 3 B.2 : 3
C.3 : 4 D.4 : 5
Answer: Option B
Explanation:
By the rule of alligation:
Cost of 1 kg of 1st kind Cost of 1 kg of 2nd kind
720 p
Mean Price
630 p
570 p
60 90
Required ratio = 60: 90 = 2: 3.
12. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that
by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A.3 : 2 B.3 : 4
C.3 : 5 D.4 : 5
Answer: Option A
Explanation:
S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 18
C.P. of 1 kg of the mixture = Rs.
100
x 68.20 = Rs. 62.
110
By the rule of alligation, we have:
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind.
Rs. 60
Mean Price
Rs. 62
Rs. 65
3 2
Required ratio = 3 : 2.
13.The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and
Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
A.Rs. 18 B.Rs. 18.50
C.Rs. 19 D.Rs. 19.50
Answer: Option A
Explanation:
Let the price of the mixed variety be Rs. x per kg.
By rule of alligation, we have:
Cost of 1 kg of Type 1 rice Cost of 1 kg of Type 2 rice
Rs. 15
Mean Price
Rs. x
Rs. 20
(20 - x) (x - 15)
(20 - x)
=
2
(x - 15) 3
60 - 3x = 2x - 30
5x = 90
x = 18.
14.8 liters are drawn from a cask full of wine and is then filled with water. This operation is
performed three more times. The ratio of the quantity of wine now left in cask to that of water is
16 : 81. How much wine did the cask hold originally?
A.18 liters B.24 liters
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 19
C.32 liters D.42 liters
Answer: Option B
Explanation:
Let the quantity of the wine in the cask originally be x litres.
Then, quantity of wine left in cask after 4 operations = [x(1 – 8/x ) litres.
x(1 - (8/x))4
=
16
x 81
1 -
8
4=
2
4
x 3
x - 8
=
2
x 3
3x - 24 = 2x x = 24.
15. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18%
profit. He gains 14% on the whole. The quantity sold at 18% profit is:
A.400 kg B.560 kg
C.600 kg D.640 kg
Answer: Option C
Explanation:
By the rule of alligation, we have:
Profit on 1st part Profit on 2nd part
8%
Mean Profit
14%
18%
4 6
Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
Quantity of 2nd kind =
3
x 1000
kg
= 600 kg.
5
16. How many liters of water should be added to a 30 litre mixture of milk and water containing
milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
A.7 liters B.10 liters
C.5 liters D.None of these
Answer: Option C
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 20
Explanation:
30 liters of the mixture has milk and water in the ratio 7: 3. i.e. the solution has 21 liters of milk
and 9litres of water. When you add more water, the amount of milk in the mixture remains
constant at 21 liters. In the first case, before addition of further water, 21 liters of milk accounts
for 70% by volume. After water is added, the new mixture contains 60% milk and 40% water.
Therefore, the 21litres of milk accounts for 60% by volume.
Hence, 100% volume = 21/0.6= 35 liters.
We started with 30 liters and ended up with 35 liters. Therefore, 5 liters of water was added.
17. A 20 liter mixture of milk and water contains milk and water in the ratio 3: 2. 10 liters of the
mixture is removed and replaced with pure milk and the operation is repeated once more. At the
end of the two removal and replacement, what is the ratio of milk and water in the resultant
mixture?
A.17 : 3 B.9 : 1
C.3 : 17 D.5 : 3
Answer: Option B
Explanation:
The 20 litre mixture contains milk and water in the ratio of 3 : 2. Therefore, there will be 12 litres
of milk in the mixture and 8 litres of water in the mixture.
Step 1. When 10 litres of the mixture is removed, 6 litres of milk is removed and 4 litres of water
is removed. Therefore, there will be 6 litres of milk and 4 litres of water left in the container. It is
then replaced with pure milk of 10 litres. Now the container will have 16 litres of milk and 4
litres of water.
Step 2. When 10 litres of the new mixture is removed, 8 litres of milk and 2 litres of water is
removed. The container will have 8 litres of milk and 2 litres of water in it. Now 10 litres of pure
milk is added. Therefore, the container will have 18 litres of milk and 2 litres of water in it at the
end of the second step.
Therefore, the ratio of milk and water is 18: 2 or 9: 1.
18. How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of
ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at
Rs.40/kg?
A.20 kgs B.12.5kgs
C.3 : 16kgs D.200kgs
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 21
Answer: Option A
Explanation:
Let the amount of Basmati rice being mixed be x kgs. As the trader makes 25% profit by selling
the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.
i.e. (x * 42) + (25 * 24) = 32 (x + 25)
=> 42x + 600 = 32x + 800
=> 10x = 200 or x = 20 kgs.
19. How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be
replaced with pure milk so that the resultant mixture contains milk and water in equal
proportion?
A.4 liters B.2 liters
C.1 liter D.1.5 liters
Answer: Option B
Explanation:
The mixture contains 40% milk and 60% water in it. That is 4.8 litres of milk and 7.2 litres of
water.
Now we are replacing the mixture with pure milk so that the amount of milk and water in the
mixture is 50% and 50%.That is we will end up with 6 litres of milk and 6 litres of water.
Water gets reduced by 1.2 litres.
To remove 1.2 litres of water from the original mixture containing 60% water, we need to
remove 1.2 / 0.6 litres of the mixture = 2litres.
20. A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he
counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how
many horses were there in the zoo?
A.40 B.30
C.50 D.60
Answer: Option C
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 22
Explanation:
Let the number of horses = x
Then the number of pigeons = 80 – x.
Each pigeon has 2 legs and each horse has 4 legs.
Therefore, total number of legs = 4x + 2(80-x) = 260
=>4x + 160 – 2x = 260
=>2x = 100
=>x = 50.
21. From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with
water. If the same process is repeated a second, then a third time, what will be the number of
litres of milk left in the cask?
A.0.512 liters B.12 liters
C.14.38 liters D.15.36 liters
Answer: Option D
Explanation:
The problem can be solved by traditional method but it is cumbersome process to do that. The
problem is simple if its solution is simpler. Hence we will go for a simpler solution for this kind
of problem.
There is a short cut method to find the Quantity of milk left after nth operation.
It is given by [(x – y)/x]n of the whole quantity, where x is initial quantity of milk in the cask y is
the quantity of milk withdrawn in each process and n is the number of process..
Hence from the above rule it can be say that
Quantity of milk left after the 3rd operation = [(30 – 6)/30]3 * 30 = 15.36 liters.
22. In what ratio must wheat at Rs.3.20 pe rkg be mixed with wheat at Rs.2.90 per kg so that the
mixture be worth Rs.3.08 per kg
A.5:7 B.7:9
C.3:2 D.7:5
Answer: Option C
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 23
Explanation:
By the rule of alligation, we have:
C.P of a unit quantity of 1st kind C.P. of a unit quantity of 2nd kind
3.20 2.90
Mean Price (3.80)
0.18 0.12
 Required ratio =0.18 : 0.12 = 3:2.
23. Two A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in
which these two mixtures be mixed to get a new mixture containing milk and a water in the ratio
9:4?
A.5:7 B.2:7
C.3:2 D.7:5
Answer: Option B
Explanation:
Step (i) : Let C.P. of milk be Re.1
Given ratio of mixture in A = 8:5
 Milk in 1 liter mixture in A = 8/13 litre
 C.P of 1 liter mixture in A = Rs. 8/13
Ratio of Mixture in B = 5:2
 milk in 1 liter mixture in B – 5/7 litre
 C.P of 1 litre mixture in B = Rs. 5/7
Ratio of new mixture = 9:4
 Milk in 1 lit mixture = 9/13
C.P of 1 litre mixture = Rs/ 9/13 (Mean price)
Step (ii) : By the rule of allegation,
i. C.P of 1 liter of mixture in A =8/13
ii. C.P of 1 liter of mixture in B = 5/7
iii. Mean price (p) = 9/13
iv. d – m = 9/13 – 5-7 = 2/91
v. m – c = 9/13 – 8/13 = 1/13
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 24
 Required ratio = 2/91: 1/13 = 2:7
24. In what ratio water be mixed with milk costing Rs.12 per liter to obtain a mixture worth of
Rs.8 per litre?
A.1:2 B.2:7
C.3:2 D.7:5
Answer: Option A
Explanation:
By the rule of allegation,
i. C.P of 1 liter of water = 0
ii. C.P of 1 liter of milk = 12
iii. Mean price (p) = 8
iv. d – m = 12-8 = 4
v. m – c = 8-0 = 8
 Ratio of water and milk = 4 : 8 = 1 : 2
25.729ml of mixture contains milk and water in the ratio 7:2 how much more water is to be
added to get a new mixture containing milk and water in the ratio 7:3?
A.70ml B.49ml
C.81ml D.96ml
Answer : Option C
Explanation:
Ratio of milk and water in 729 ml = 7:2
Step (i) Milk in 729 ml of mixture = (7/9 x 729 ) ml = 567 ml
 water in 729 ml of mixture = 729 – 567 = 162 ml
Step (ii) Let x be the quantity of water added to new mixture, with the ratio 7:3
 Quantity of water in the new mixture = (162 + x ) ml
Then 7/3 =
162  x
567
 7 (162 + x) = 3 x 567
 1134 + 7x = 1701
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 25
 7x = 1701 – 1134
X = 567/7 = 81 ml
 Quantity of water added to new mixture = 81 ml.
26. A can contains 40kg of milk, from this container 4kg of milk was taken out and replaced by
water. This process was repeated further two times. How much milk is now contained by the
container?
A.29.16kg B.30kg
C.32.49kg D.25.36kg
Answer: Option A
Explanation:
Quantity of milk in the can x = 40 kg
Quantity of milk taken out y = 4 kg
Number of times = 3
 Quantity of milk in the can = kg
x
y
x
n
 

 




1
= kg
 

 




 
3
40
4
40 1 = 40 (9/10)3 kg = 40 ( 729/1000)
Quantity of milk in the can = 29.16 kg
27. Two vessels A and B contain sprit and water in the ratio 5:2 and 7:6 respectively. Find the
ratio in which these mixture be mixed to obtain a new mixture containing spirit and water in the
ratio 8:5?
A.3:4 B.5:7
C.7:9 D.4:3
Answer: Option C 7:9
Explanation:
Step (i) : Spirit in 1 litre mixture of A = 5/7 litre
Spirit in 1 litre mixture of B = 7/13 litre
Spirit in 1 litre mixture of final mixture = 8/13 litre
Mean quantity = 8/13 litre
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 26
Step (ii) By the rule of allegation,
i. quantity of spirit in A (c) = 5/7
ii. Quantity of spirit in B (d)= 7/13
iii. Mean price (m) = 8/13
iv. d – m = 5/7 – 8/13 = 9/19
v. m – c = 8/13 – 7/13 = 1/13
 Required ratio = 1/13 : 9/91 = 7 : 9
28.Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The
ratio in which these 2 mixtures be mixed to get a new mixture containing 69 3/13 % milk is :
A.3:4 B.2:7
C.7:9 D.4:3
Answer: Option B
Explanation:
Step (i) : Quantity of milk in 1 lr mixture of A = 8/13 lr
Quantity of milk in 1 lr mixture of B = 5/7 lr
Quantity of milk in 1 lr mixture of final mixture = 69
13
3
%
= 




100
1
13
900
x lr
Mean quantity = 9/13 lr
Step (ii) By the rule of allegation,
i. quantity of spirit in A (c) = 8/13
ii. Quantity of spirit in B (d)= 5/7
iii. Mean price (m) = 9/13 lr
iv. d – m = 5/7 – 9/13 = 2/91
v. m – c = 9/13 – 8/13 = 1/13
 Required ratio = 2/91 : 1/13 : = 2 : 7
29. The cost of type I rice is Rs.15 p/kg and type II is Rs.20p/kg. Both are mixed in the ratio 2:3,
price P/Kg of the mixed variety is :
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 27
A.Rs.20 B.Rs.30
C.Rs.15 D.Rs.18
Answer: Option D
Explanation:
Step (i) : Let the price of mixed variety be x.Rs
Mean price = Rs.x
Cost of 1 kg of Type I Cost of 1 kg of Type II
Rs. 15 Rs. 20
Mean wt (m)
(20 - x) Rs.x (x - 15)
 ratio = 20-x : x - 15
Step (ii) : Mixed variety is in the ratio = 2:3

15
20


x
x
= 2/3
60 – 3x = 2x – 30
X = 90 / 5 = 18
Ratios imply that the price of mixture = Rs. 18 per kg
30. In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture
must be worth Rs. 64.50 per Kg?
A. 3 : 1 B. 3 : 2
C. 4 : 3 D. 5 : 3
Answer: Option A
Explanation:
By the rule of alligation:
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 28
Required ratio = 750 : 250 = 3 : 1
31. A bar is creating a new signature drink. They are using two alcoholic ingredients in the drink:
vodka and gin. They are using two non-alcoholic ingredients in the drink: orange juice and
cranberry juice. The alcoholic ingredients contain 40% alcohol. The non-alcoholic ingredients
contain no alcohol. How many liters of non-alcoholic ingredients must be added to 6 liters of
alcoholic ingredients to produce a mixture that is 15% alcohol?
A. 5 B. 10
C. 6 D. 15
Answer: Option B
Explanation:
The alcohol ingredients is 40% in 6 liters of drink
The resultant mixture needs to have 15% alcohol only
Hence we have the following equation :
(6+x) (0.15) = 6(40%) + x(0%)
(6+x) 0.15 = 6(0.4) + 0
Solving for x, we get x = 10.
31. 150 liters of a 20% alcohol solution is mixed with 200 liters of another solution. If the
resulting solution is 18% alcohol, what is the percent of alcohol in the 200-liter solution?
A. 21% B. 16.5%
C. 15.2% D. 18%
Answer: Option B
Explanation:
Total solution is 350 litres .
We have the following equation: 350(0.18) = 200(x) + 150(0.2)
Solving for x , we get x = 0.165 i.e. 16.5%
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 29
32. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is
performed three more times. The ratio of the quantity of wine now left in cask to that of the
water is 16 : 65. How much wine did the cask hold originally?
A. 18 litres B.24 litres
C.32 litres D.42 litres
Answer: Option B
Explanation:
Let the quantity of the wine in the cask originally be x litres.
Then , quantity of wine left in cask after 4 operations = [x(1-(8/x)4] litres.
 [x(1-(8/x)4] = 16
x 81
(1-8/x)4 = (2/3)2
x - 8 = 2 3x – 24 = 2x x = 24.
x 3
33. One quality of wheat at Rs. 9.30 per kg is mixed with another quality at certain rate in the
ratio 8 : 7 .If the mixture so formed be worth Rs. 10 per kg,what is the rate per kg of the second
quality of wheat ?
A.Rs. 10.30 B.Rs. 10.60
C.Rs. 10.80 D.Rs.11
Answer: Option C
Explanation:
Let the rate of the second quality be Rs. X per kg.
By the rule of allegation, we have:
C.P of 1 kg. wheat of 1st kind C.P of 1 kg wheat of 2nd kind
930p 100x p
Mean price
1000 P
(100x – 1000)p 70 p
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 30
100x – 1000 = 8
70 7
700x – 7000=560
700x = 7560
x = Rs. 10.80.
QUESTION BANK:
1. In what ratio must rice at Rs.30 per kg mixed with rice at Rs.10.80 per kg so that the
mixture be worth Rs.10per kg .
A. 3:4 B. 5:4
C. 8:7 D. 4:5
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 31
2. In what ratio must wheat at Rs.3.20 pe rkg be mixed with wheat at Rs.2.90 per kg so that
the mixture be worth Rs.3.08 per kg
A. 3:2 B.5:4
C. 2:3 D. 4:5
3. How many kilograms of sugar costing Rs/.9 per kg must be mixed with 27kg of sugar
costing Rs.7 per kg so that there may ba gain of 10% by selling the mixture at Rs.9.24 per
kg ?
A. 50 kg B. 63kg
C. 72kg D. 59kg
4. In what ratio must water be mixed with milk to gain 16 2/3% on selling the mixture at
cost price ?
A. 1:6 B. 5:7
C. 7:5 D. 6:1
5. Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 res. The ratio
in which these two mixtures be mixed to get a new mixture containing milk and a water
in the ratio 9:4?
A. 3:4 B. 5:9
C. 2:7 D. 3:2
6. In what ratio water be mixed with milk costing Rs.12 per liter to obtain a mixture worth
of Rs.8 per litre?
A. 2:4 B. 1:2
C. 5:7 D. 2:1
7. A sum of Rs.4000 is lent out in two parts, one at 8% simple interest and the other at 10%
simple interest. In the annual interest is Rs.352, the sum lent at 8% is ?
A. 1300 B. 1500
C. 2400 D. 3700
8. A merchant has 100kg of sugar, part of which he sells at 8% profit and the rest at 18%
profit. He gains 14% on the whole. The quantity sold at 18% profit is?
A. 120kg B. 500kg
C. 300kg D. 600kg
9. Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3 in what ratio
must these mixtures be mixed to form new mixture containing half milk and half water?
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 32
A. 5:6 B. 7:5
C. 6:7 D. 7:8
10. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another
containing 19% alcohol and now the percentage of alcohol was found to be 26% the
quantity of whisky replaced is ?
A.1/4 B.1/3
C.2/3 D.2/4
11. 729ml of mixture contains milk and water in the ratio 7:2 how much more wate is to be
added to get a new mixture containing milk and water in the ratio 7:3?
A.70ml B.49ml
C.81ml D.96ml
12. A sum of Rs.312 was divided amng 100boys and girls in such a way that the boy gets
Rs.3.60 and each girl Rs.2.40 the number of girls is ?
A.30 B.40
C.20 D.50
13. A man covered a distance of 2000km in 18 hours partly by bus at 72kmph and partly by
train at 16kmph the distance covered by bus is ?
A.540ml B.960ml
C.720ml D.840ml
14. A sum of rs.36.90 is made up of 180 coins which are either 10 paise coins or 25 p coins.
The number of 10 p coins is ?
A.72 B.54
C.45 D.67
15. A dishonest milk man professes to sell his milk at cost price but he mixed it with water
and thereby gains 25%. The percentage of water in the mixture is ?
A.35% B.25%
C.20% D.40%
16. A mixture of 20kg of spirt and water contains 10 water How much water must be added
to this mixture to raise the percentage of water to 25%?
A.3kg B.4kg
C.5kg D.6kg
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 33
17. A container contains 40kg of milk, from this container 4kg of milk was taken out and
replaced by water. This process was repeated further two times. How much milk is now
contained by the container?
A.43.12 kg B.43.22kg
C.29.16kg D.12.45kg
18. A can contains a mixture of two liquids A and B in the ratio 7:5 when 9 litres of mixture
are drawn off and the can is filled with B, the ratio of A and B becomes 7:9 how many
litres of liquids A was contained by the can initially?
19. A mixture of milk and water measures 60 gallons. It contains 20% water. How many
gallons of water should be added to it so that water may be 25%?
20. A mixture of spirit and water measure 80 gallons. It contains 20% water. How much
water should be added to it so that water may be 25%?
21. A man lent $2000, part of this at 4% and the rest at 6% per annum simple interest. The
whole annual interest amounted to $92. How much did he lend at 6%?
22. A man invested $2500 into two parts such that if one part be put out at 5% S.I. and other
at 6%, the yearly income may be $140. How much did he invest at 5%?
23. There are two vessels A and B in which the ratio of milk and water are as 5:2 and 8:7
respectively. Two gallons are drawn from vessel A and 3 gallons from vessel B, and are
mixed in another empty vessel. What is the ratio of milk and water in it?
24. Two gallons of mixture in which there is 2/5 of water and the rest spirit is mixed with
five gallons of mixture in which there is 1/3 of water and the rest spirit. What is the ratio
of water and spirit in the new mixture?
A.20 B.21
C.22 D.23
A.6 gallons B.4 gallons
C.8 gallons D.10 gallons
A.8 1/3 gallons B.6 1/3gallons
C.7 1/3 gallons D. 5 1/3 gallons
A.$900 B.$800
C.$600 D.$1000
A.$1250 B.$1500
C.$1000 D.$750
A.106:69 B.103:72
C.89:86 D.101:71
Reasoning and Quantitative Aptitude Alligation or Mixture
SITAMS 34
25. One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other
vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of
the wine.
26. One milk can contains a mixture of milk and water in the ratio 7:5 and the other contains
the mixture of milk and water in which 2/5th is water. Compare their purity.
27. A woman sold 100 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7
for 85 cents. How many were sold at the first rate?
28. A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 17%
profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
A.18:23 B.12:17
C.25:33 D.37:68
A.7:4 B.7:8
C.35:36 D.14:5
A.36:35 B.35:36
C.10:7 D.5:3
A.45 B.21
C.15 D.9
A.70 lbs B.40lbs
C.30 lbs D.50lbs

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WHO IS WHO IMPORTANT HEADS OF INDIA FOR BANK IBPS

1. Dr. Manmohan Singh: Chairman, Planning Commission.

2. Ms. Meira Kumar: Speaker, Lok Sabha.

3. Mohammad Hamid Ansari: Chairman, Rajya Sabha.

4. Mr. P. J. Kurien: Deputy Chairman, Rajya Sabha.

5. Mr. Karia Munda: Deputy Speaker, Lok Sabha.

6. Mrs. Sushma Swaraj : Leader of Opposition (Lok Sabha).

7. Mr. Arun Jaitley: Leader of Opposition (Rajya Sabha).

8. Dr. Montek Singh Ahluwalia: Deputy Chairman, Planning Commission.

9. Mr. V. S. Sampath: Chief Election Commissioner

10. Mr. Harishankar Brahma : Election Commissioner.

11. Syed Nasim Zaidi : Election Commissioner.

12. Mr. Shashi Kant Sharma : Comptroller and Auditor-Generalof India

13. Mr. Justice K. G. Balakrishnan : Chairperson, National Human Right Commission (NHRC)

14. Mr. K. M. Chandrasekhar: Cabinet Secretary..

15. Mr. T. K. A. Nair : Principal Secretary to Prime Minister .

16. Mr. Justice M. N. Rao: Chairman, National Commission for Backward Classes.

17. Ms. Shanta Sinha: Chairperson, National Commission for Protection of Child Rights

18. Dr. Buta Singh: Chairman, National Commission for Scheduled Castes

19. Ms. Urmila Singh: Chairman, National Commission for Scheduled Tribes.

20. Prof. D. P. Agrawal: Chairman, UPSC.

21. Dr. M. S. Swaminathan : Chairman, National Commission on Farmers (NCF).

22. Mr. Shiv Shankar Menon: National Security Adviser and Special Adviser to PM (Internal Security).

23. Mr. S. C. Sinha : Director-General, National Investigation Agency (NIA).

24. Mr. Vinay Mittal: Chairman, Railway Board.

25. Mr. Shumsher K. Sheriff : Secretary-General, Rajya Sabha

.26. Mr. T. K. Viswanathan : Secretary-General, Lok Sabha.

27. Mr. Syed Asif Ibrahim : Director, IB.

28. Mr. Ranjit Sinha: Director, CBI.

29. Mr. Alok Joshi : Director, Research and Analysis Wing (RAW).

30. Mr. Arvind Ranjan : Director-General, NSG.

31. Mr. Dilip Trivedi : Director-General, CRPF.

32. Mr. Subhash Joshi : Director-General, Border Security Force (BSF).

33. Mr. Rajiv : Director-General, Central Industrial Security Force (CISF).

34. Mr. P. K. Mehta: Director-General, Railway Protection Force. (RPF)

35. Mr. Ajay Chadha: Director-General, Indo-Tibetan Border Police (ITBP).

36. Mr. Arun Chaudhary : Director-General, Sashastra Seema Bal.

37. Vice-Admiral Anurag G. Thapliyal : Director-General, Indian Coast Guard.

38. Lt. Gen. Avtar Singh: Director-General, Defence Intelligence Agenc

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[Studyplan] IBPS CWE PO/MT:[Aptitude] Time n Distance Solved Examples

TIME AND DISTANCE (Basic concepts)

1. Distance = Speed * Time

2. Time = Distance / Speed

3. Speed = Distance/Time

4. To convert speed in km/h to m/sec, multiply it with 5/18.

5. To convert speed in m/sec to km/h , multiply it with 18/5.

6. If a body travels from point A to point B with a speed of 'p' and back to point A (from point with a speed of ‘q’, then the average speed of the body is:
= 2pq/(p+q).

7. If a car does a journey in 'T' hrs, the first half at 'p' km/hr and the second half at 'q' km/hr. The total distance covered by the car = (2 * Time * p * q ) / (p + q).

8. If a body covers part of the journey at speed p and the remaining part of the journey at a speed q and the distances of the two parts of the journey are in the ratio m : n, then the average speed for the entire journey is:
= (m+n) pq / (mq+np).

9. If a person travelling between two points reaches ‘p’ hours late (If time is given in minutes, it should be converted into hrs by dividing it by 60) travelling at a speed of 'a' km/hr and reaches 'q' km/hr and reaches q hours early travelling at 'b' km/hr, the distance between the two points is:
= (ab/a‐b)(p‐q)

10.If a person goes from 'A' to 'B' at a speed of 'p' kmph and returns at a speed of 'q' kmph and takes 'T' hours in all, then the distance between the A and B:
= Total time taken * (Product of the two Speeds / Addition of the two speeds)

11. If two persons A and B start at the same time in opposite direction from two points and after passing each other they complete the journeys in 'a' and 'b' hrs respectively, then A's speed : B's speed= Square root of b : Square root of a.

12. If A travels certain distance at the rate of 'S1' kmph and B covers the same distance at the rate of 'S2' kmph and if one of them takes 't' minutes longer than the other, then:Distance covered = {(S1 x S2) x Difference in time to cover the distance} / (S1‐S2)

Note :‐ If speed is given kmph and time is given in minutes, then time is to be expressed in hrs. before solving the problem using this formula.
********************************************

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Most Frequently Asked Bank Interview Questions-Interview Tips-[IBPS] Interview Preparation

TOP 60 BANK INTERVIEW QUESTIONS
****************************

1. Why do you want to join banking sector?

Banking is one of the fastest growing sectors in India with more stable and high growth and more over providing wide range of career opportunities for graduates. So I want to take an opportunity to join in a bank.

2. What is the difference between Cheque and Demand Draft?

Cheque: Cheuqe is a negotiable instrument instructing a bank to pay a specific amount from a specific account held in the maker/depositor name with that Bank.

Demand Draft: A demand draft is an instrument used for effecting transfer of money. It is a negotiable instrument.


3. What is a Non-Banking Financial Company (NBFC)?

A Non-Banking Financial Company (NBFC) is a company registered under the Companies Act, 1956 engaged in the business of loans and advances, acquisition of shares/stocks/bonds/debentures/securities issued by Government or local authority or other marketable securities of a like nature, leasing, hire-purchase, insurance business, chit business but does not include any institution whose principal business is that of agriculture activity, industrial activity, purchase or sale of any goods (other than securities) or providing any services and sale/purchase/construction of immovable property. A non-banking institution which is a company and has principal business of receiving deposits under any scheme or arrangement in one lump sum or in installments by way of contributions or in any other manner, is also a non-banking financial company (Residuary non-banking company).


4. NBFCs are doing functions similar to banks. What is difference between banks & NBFCs ?

NBFCs lend and make investments and hence their activities are akin to that of banks; however there are a few differences as given below:
NBFC cannot accept demand deposits;
NBFCs do not form part of the payment and settlement system and cannot issue cheques drawn on itself; deposit insurance facility of Deposit Insurance and Credit Guarantee Corporation is not available to depositors of NBFCs, unlike in case of banks.


5 . What is Private Banking?

Banking services offered to high net-worth individuals. Private banking institution assists the high net-worth individual in investing his/her money in exchange for commissions and fees. The term "private" refers to the customer service being rendered on a more personal basis.

6. What is BSBDA?

Under the guidelines issued on August 10, 2012 by RBI: Any individual, including poor or those from weaker section of the society, can open zero balance account in any bank. BSBDA guidelines are applicable to "all scheduled commercial banks in India, including foreign banks having branches in India".
All the accounts opened earlier as 'no-frills' account should be renamed as BSBDA. Banks are required to convert the existing 'no-frills' accounts’ into 'Basic Savings Bank Deposit Accounts'.
The 'Basic Savings Bank Deposit Account' should be considered as a normal banking service available to all customers, through branches .

The aim of introducing 'Basic Savings Bank Deposit Account' is very much part of the efforts of RBI for furthering Financial Inclusion objectives.

7. What is BPS (Basis Points)?

BPS (Basis point) : - BPS is an acronym for basic points is used to indicate changes in rate of interest and other financial instrument.

1 BASIC POINT IS EQUAL TO 0.01%

So when we say that repo rate has been increased by 25 bps, it means that the rate has been increased by 0.25%

8. What is KYC?

The Reserve Bank of India (RBI) has advised banks to follow ‘KYC guidelines’, wherein certain personal information of the account-opening prospect or the customer is obtained. The objective of doing so is to enable the Bank to have positive identification of its customers. This is also in the interest of customers to safeguard their hard earned money.

The KYC guidelines of RBI mandate banks to collect three proofs from their customers. They are-

1.Photograph
2. Proof of identity
3. Proof of address

9. What is Sub-prime crisis?

The current Subprime crisis is due to sub-prime lending. These are the loans given to the people having low credit rating.

10. What is Base Rate?
It is the minimum rate of interest that a bank is allowed to charge from its customers. Unless mandated by the government, RBI rule stipulates that no bank can offer loans at a rate lower than BR to any of its customers.

It is effective from, July 1, 2010. However, all existing loans, including home loans and car loans, will continue to be at the current rate. Only the new loans taken on or after July 1 and old loans being renewed after this date will be linked to BR.

11. What is SWIFT?

SWIFT :- Society for worldwide Interbank financial tele- communication.

India was 74th Nation to join SWIFT Network.

SWIFT Code is a standard format of bank Identifier code. This code is used particularly in International transfer of money between banks.

A majority of FOREX related message are sent to correspondent banks abroad through SWIFT.

SWIFT Code consist 8 or 11 character when code is 8 digit, It is referred to primary office
4 – bank code

2 – country code

2 – location code

3 – branch code (optional).

12. What is Swabhimaan Yojana?

Swabhimaan is a financial inclusion plan of bank to take banking to the door steps of the remote village where banking facility are not available.

13. What is NOSTRO and VOSTRO account?

NOSTRO Account: A NOSTRO account is maintained by an Indian bank in the foreign countries.

VOSTRO Account: a vostro a/c is maintained by a foreign bank in India with their corresponding bank.

14. What is a DeMat Account?

DeMat is nothing but a dematerialized account. If one has to save money or make cheque payments, then he/she needs to open a bank account. Similarly, one needs to open a DeMat account if he/she wants to buy or sell stocks. Thus, DeMat account is similar to a bank account wherein the actual money is being replaced by shares. In order to open a DeMat account, one needs to approach the Depository Participants [DPs].

In India, a DeMat account is a type of banking account that dematerializes paper-based physical stock shares. The DeMat account is used to avoid holding of physical shares: the shares are bought as well as sold through a stock broker. In this case, the advantage is that one does not need any physical evidence for possessing these shares. All the things are taken care of by the DPs.

This account is very popular in India. Physically only 500 shares can be traded as per the provision given by SEBI. From April 2006, it has become mandatory for any person holding a DeMat account to possess a Permanent Account Number (PAN).

15. What is RuPay Card?

RuPay is the Indian domestic card payment network set up by National Payments Corporation of India (NPCI) at the behest of banks in India. The RuPay project had been conceived by Indian Banks Association (IBA) and had the approval of Reserve Bank of India (RBI).
RuPay LogoNational Payments Corporation of India (NPCI) has a plan to provide a full range of card payment services including the RuPay ATM, RuPay MicroATM, Debit, Prepaid and Credit Cards which will be accepted in India and abroad, across various channels like POS, Internet, IVR and mobile etc.
The initial focus of NPCI would be to approach those banks who have not been issuing any payment card at all more specifically – Regional Rural Banks (RRBs) and urban co-operative banks.
All Public Sector Undertakings (PSU) banks set to join RuPay system by the end of year 2012. RuPay-based debit cards can be used by the consumers on the Internet from September, 2012.
The government of India had launched India’s first domestic payment card network, RuPay, to compete with Visa Inc and Mastercard Inc.

16. What is foreign exchange reservers?
Foreign exchange reserves (also called Forex reserves) in a strict sense are only the foreign currency deposits and bonds held by central banks and monetary authorities.However, the term in popular usage commonly includes foreign exchange and gold,SDRs and IMF reserve positions.

17. What is Bancassurance ?
Bancassurance stands for distribution of financial products particularly the insurance policies (both the life and non-life), also called referral business, by banks as corporate agents, through their branches located in different parts of the country.

18. What is Money Laundering ?

Money laundering is the processes of concealing the source of obtain money. Money or funds obtained through illegal activities are presented as legitimate.

19. What is the difference between Nationalized bank and Private Bank ?
A Nationalized bank is one that is owned by the government of the country. Since the people decide who the government is, they are also referred to as public sector banks. The government is responsible for the money deposited into the accounts of these banks. Where as a private sector bank is one that is owned by an independent individual or a company that is controlled by a few individuals. In short, the bank is owned by someone else and they run the bank. The person owning/running the bank is responsible for the money deposited into the accounts of these banks.

20. What are non-perfoming assets?
A classification used by financial institutions that refer to loans that are in jeopardy of default. Once the borrower has failed to make interest or principal payments for 90 days the loan is considered to be a non-performing asset.
Also known as "non-performing loan".

21. What is the Functions of RBI?
The Reserve Bank of India is the central bank of India, was established on April 1, 1935 in accordance with the provisions of the Reserve Bank of India Act, 1934.
The Reserve Bank of India was set up on the recommendations of the Hilton Young Commission. The commission submitted its report in the year 1926, though the bank was not set up for nine years.To regulate the issue of Bank Notes and keeping of reserves with a view to securing monetary stability in India and generally to operate the currency and credit system of the country to its advantage." Banker to the Government: performs merchant banking function for the central and the state governments; also acts as their banker.Banker to banks: maintains banking accounts of all scheduled banks.

21. What is monetary policy?

A Monetary policy is the process by which the government, central bank, of a country controls

(i) the supply of money,

(ii) availability of money, and

(iii) cost of money or rate of interest, in order to attain a set of objectives oriented towards the growth and stability of the economy.

22. What is SEZ?

SEZ means Special Economic Zone is the one of the part of government’s policies in India. A special Economic zone is a geographical region that economic laws which are more liberal than the usual economic laws in the country. The basic motto behind this is to increase foreign investment, development of infrastructure, job opportunities and increase the income level of the people.

23. What is SIDBI?

The Small Industries Development Bank of India is a state-run bank aimed to aid the growth and development of micro, small and medium scale industries in India. Set up in 1990 through an act of parliament, it was incorporated initially as a wholly owned subsidiary of Industrial Development Bank of India.

24. What is TREASURY BILLS (TB)?

Treasury bills (T-Bills) are the short term liabilities of the central government .theoretically government of India issued three types of T-bills through auctions, namely 91 days, 182days,and 364 days. There are no treasury bills issued by state government. Minimum amount of T –Bills is Rs. 2500and in multiple of RS. 2500.T-bills are issued at a discount and are redeemed at par from 1st April 1997 treasury bills have been replaced by WAYS AND MEANS ADVANCES .

25. What is COMMERCIAL PAPER (CP)?

commercial paper was introduced by RBI in 1991. It is a short term money market instrument issued in the form of promissory note .Corporate; primary dealers and the all India financial institution are eligible to issue CP. The maturity period of each commercial paper is 7days to 1year from the date of issue .CP can be issued denominations of Rs. 5lakh or multiples thereof. Only a schedule bank can act as an issuing and paying agent (IPA) for issuance of CP.

26. What is CRM?

Customer Relationship Management (CRM) refers to the ability to understand, anticipate and manage the needs of the customer, interaction and relationship resulting in increased profitability through revenue and margin growth and operational efficiencies.

27. What is Right to information Act?

The Right to Information act is a law enacted by the Parliament of India giving citizens of India access to records of the Central Government and State governments.The Act applies to all States and Union Territories of India, except the State of Jammu and Kashmir - which is covered under a State-level law. This law was passed by Parliament on 15 June 2005 and came fully into force on 13 October 2005.

28. What is Recession?

A true economic recession can only be confirmed if GDP (Gross Domestic Product)growth is negative for a period of two or more consecutive quarters.

29. What is dematerialisation ?

Dematerialisation is a process by which the paper certificates of an investor are taken back by the company/registrar and actually destroyed and an equivalent number of securities are credited in electronic holdings of that investor.

30. What is Defivative ?

A derivative is a financial contract that derives its value from another financial product/commodity (say spot rate) called underlying (that may be a stock, stock index, a foreign currency, a commodity). Forward contract in foreign exchange transaction, is a simple form of a derivative.

31. What is LAF ?

Liquidity Adjustment Facility (LAF) was introduced by RBI during June, 2000 in phases, to ensure smooth transition and keeping pace with technological upgradation.

32. What is a Repo Rate?

Repo rate is the rate at which our banks borrow rupees from RBI. Whenever the banks have any shortage of funds they can borrow it from RBI. A reduction in the repo rate will help banks to get money at a cheaper rate. When the repo rate increases, borrowing from RBI becomes more expensive

33. What is Reverse Repo Rate?

This is exact opposite of Repo rate. Reverse Repo rate is the rate at which Reserve Bank of India (RBI) borrows money from banks. RBI uses this tool when it feels there is too much money floating in the banking system. Banks are always happy to lend money to RBI since their money is in safe hands with a good interest. An increase in Reverse repo rate can cause the banks to transfer more funds to RBI due to this attractive interest rates.

34. What is CRR Rate?

Cash reserve Ratio (CRR) is the amount of funds that the banks have to keep with RBI. If RBI decides to increase the percent of this, the available amount with the banks comes down. RBI is using this method (increase of CRR rate), to drain out the excessive money from the banks.

35. What is Bank Rate?

Bank rate, also referred to as the discount rate, is the rate of interest which a central bank charges on the loans and advances that it extends to commercial banks and other financial intermediaries. Changes in the bank rate are often used by central banks to control the money supply.

36. What is PLR?

The Prime Interest Rate is the interest rate charged by banks to their most creditworthy customers (usually the most prominent and stable business customers). The rate is almost always the same amongst major banks. Adjustments to the prime rate are made by banks at the same time; although, the prime rate does not adjust on any regular basis. The Prime Rate is usually adjusted at the same time and in correlation to the adjustments of the Fed Funds Rate. The rates reported below are based upon the prime rates on the first day of each respective month. Some banks use the name "Reference Rate" or "Base Lending Rate" to refer to their Prime Lending Rate.

37. what is Bitcoin?

Bitcoin is a consensus network that enables a new payment system and a completely digital money. It is the first decentralized peer-to-peer payment network that is powered by its users with no central authority or middlemen. From a user perspective, Bitcoin is pretty much like cash for the Internet. Bitcoin can also be seen as the most prominent triple entry bookkeeping system in existence.

38. What is SLR Rate?

SLR (Statutory Liquidity Ratio) is the amount a commercial bank needs to maintain in the form of cash, or gold or govt. approved securities (Bonds) before providing credit to its customers. SLR rate is determined and maintained by the RBI (Reserve Bank of India) in order to control the expansion of bank credit. SLR is determined as the percentage of total demand and percentage of time liabilities. Time Liabilities are the liabilities a commercial bank liable to pay to the customers on their anytime demand. SLR is used to control inflation and propel growth.
Through SLR rate tuning the money supply in the system can be controlled efficiently.

39. What is Deposit Rate?

Interest Rates paid by a depository institution on the cash on deposit.

40. What is Fiscal Policy?

Fiscal policy is the use of government spending and revenue collection to influence the economy. These policies affect tax rates, interest rates and government spending, in an effort to control the economy. Fiscal policy is an additional method to determine public revenue and public expenditure.

41. What is the Banking Ombudsman Scheme?

The Banking Ombudsman Scheme enables an expeditious and inexpensive forum to bank customers for resolution of complaints relating to certain services rendered by banks. The Banking Ombudsman Scheme is introduced under Section 35 A of the Banking Regulation Act, 1949 by RBI with effect from 1995.

42. Which are the banks covered under the Banking Ombudsman Scheme, 2006?

All Scheduled Commercial Banks, Regional Rural Banks and Scheduled Primary Co-operative Banks are covered under the Scheme.

43. What is Inflation?

Inflation is as an increase in the price of bunch of Goods and services that projects the Indian economy. An increase in inflation figures occurs when there is an increase in the average level of prices in Goods and services. Inflation happens when there are fewer Goods and more buyers; this will result in increase in the price of Goods, since there is more demand and less supply of the goods.

44. What is Deflation?

Deflation is the continuous decrease in prices of goods and services. Deflation occurs when the inflation rate becomes negative (below zero) and stays there for a longer period.

45. What is FII?

FII (Foreign Institutional Investor) used to denote an investor, mostly in the form of an institution. An institution established outside India, which proposes to invest in Indian market, in other words buying Indian stocks. FII's generally buy in large volumes which has an impact on the stock markets. Institutional Investors includes pension funds, mutual funds, Insurance Companies, Banks, etc.

46. What is FDI?

FDI (Foreign Direct Investment) occurs with the purchase of the “physical assets or a significant amount of ownership (stock) of a company in another country in order to gain a measure of management control” (Or) A foreign company having a stake in a Indian Company.

47. What is IPO?

IPO is Initial Public Offering. This is the first offering of shares to the general public from a company wishes to list on the stock exchanges.

48. What is GDP?

The Gross Domestic Product or GDP is a measure of all of the services and goods produced in a country over a specific period; classically a year.

49. What is GNP?

Gross National Product is measured as GDP plus income of residents from investments made abroad minus income earned by foreigners in domestic market.

50. What is Revenue deficit?

It defines that, where the net amount received (by taxes & other forms) fails to meet the predicted net amount to be received by the government.

51. What is Disinvestment?

The Selling of the government stake in public sector undertakings.

52. What is Fiscal Deficit?

It is the difference between the government’s total receipts (excluding borrowings) and total expenditure.

53. What is National Income?

National Income is the money value of all goods and services produced in a Country during the year.

54. What is bank and its features and types?

A bank is a financial organization where people deposit their money to keep it safe.Banks play an important role in the financial system and the economy. As a key component of the financial system, banks allocate funds from savers to borrowers in an efficient manner.

55. What are Mutual funds?

Mutual funds are investment companies that pool money from investors at large and offer to sell and buy back its shares on a continuous basis and use the capital thus raised to invest in securities of different companies. The mutual fund will have a fund manager that trades the pooled money on a regular basis. The net proceeds or losses are then typically distributed to the investors annually. A company that invests its clients' pooled fund into securities that match its declared financial objectives. Asset management companies provide investors with more diversification and investing options than they would have by themselves. Mutual funds, hedge funds and pension plans are all run by asset management companies. These companies earn income by charging service fees to their clients.

56. What is Cheque?

Cheque is a negotiable instrument instructing a Bank to pay a specific amount from a specified account held in the maker/depositor's name with that Bank.A bill of exchange drawn on a specified banker and payable on demand.“Written order directing a bank to pay money”.



57. What is demand Draft?

A demand draft is an instrument used for effecting transfer of money. It is a Negotiable Instrument. Cheque and Demand-Draft both are used for Transfer of money. You can 100% trust a DD. It is a banker's check. A check may be dishonored for lack of funds a DD can not. Cheque is written by an individual and Demand draft is issued by a bank. People believe banks more than individuals.

58. What is NABARD?

NABARD was established by an act of Parliament on 12 July 1982 to implement the National Bank for Agriculture and Rural Development Act 1981. It replaced the Agricultural Credit Department (ACD) and Rural Planning and Credit Cell (RPCC) of Reserve Bank of India, and Agricultural Refinance and Development Corporation (ARDC). It is one of the premiere agency to provide credit in rural areas. NABARD is set up as an apex Development Bank with a mandate for facilitating credit flow for promotion and development of agriculture, small-scale industries, cottage and village industries, handicrafts and other rural crafts.

59. What is SENSEX and NIFTY?

SENSEX is the short term for the words "Sensitive Index" and is associated with the Bombay (Mumbai) Stock Exchange (BSE). The SENSEX was first formed on 1-1-1986 and used the market capitalization of the 30 most traded stocks of BSE. Where as NSE has 50 most traded stocks of NSE.SENSEX IS THE INDEX OF BSE. AND NIFTY IS THE INDEX OF NSE.BOTH WILL SHOW DAILY TRADING MARKS. Sensex and Nifty both are an "index”. An index is basically an indicator it indicates whether most of the stocks have gone up or most of the stocks have gone down.

60. What is SEBI?

SEBI is the regulator for the Securities Market in India. Originally set up by the Government of India in 1988, it acquired statutory form in 1992 with SEBI Act 1992 being passed by the Indian Parliament. Chaired by C B Bhave.

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List of Important International and National Days - IBPS Exam and Other Competitive Exam

DaysCelebrated in the world and India

January 1: New Year’s Day

January 4: Myanmar Independence Day

January 12 : National Youth Day.

January 15 :Army Day.

January 26 :India's Republic Day and International Customs day.

January 30 :Martyrs' Day

January 31: Street Children’s Day

February 4: World Cancer Day.

February 4: Sri Lanka Independence Day.

February 6: International Day of Zero Tolerance to Female Genital Mutilation

February 12: Darwin Day

February 13:Hug Day

February 14:Valentine's Day 

February 21: International Mother Language Day

February 22: Thinking Day

February 24 :Central Excise Day.

February 28 :National Science Day.

March 1: Saint David's Day 

March 2: Texas Independence Day 

March 8 :International Women's Day.

March 14: Pi Day 

March 15: World Consumer Rights Day

March 15 :World Disabled Day.

March 17: Saint Patrick's Day

March 20: World Sparrow Day

 March 21: World Down Syndrome Day

March 21: World Poetry Day

March 21 :World Forestry Day.

March 21 :International Day for the Elimination of Racial Discrimination.

March 22: World Water Day 

March 23: Youm-e-Pakistan (Pakistan Day)

March 23 :World Meteorological Day.

March 24: World Tuberculosis Day

March 25: Greece Independence Day

March 26: Purple Day

March 26: Bangladesh Independence Day

April 1: April Fools' Day

April 2: World Autism Awareness Day

April 5 :National Maritime Day.

April 7: National Beer Day

April 7 :World Health Day.

April 8: International Romani Day

April 15: Day of Silence

April 15: Day of Dialogue

April 16: Foursquare Day 

April 17: World Hemophilia Day

April 18 :World Heritage Day.

April 22 :Earth Day.

April 23: St George's Day

April 23: World Book Day 

April 25: ANZAC Day

April 25: Italy's Liberation Day

April 25: World Malaria Day

April 26: World Intellectual Property Day

April 30: International Jazz Day

May 1: May Day 

May 1 :Workers Day (International Labor Day).

May 3: World Press Freedom Day 

May 4: Remembrance of the Dead 

May 4: Star Wars Day

May 4: Greenery Day

May 5: International Midwives' Day 

May 6: International No Diet Day

May 7-8: Victory in Europe Day

May 8 :World Red Cross Day.

May 11: Military Spouse Appreciation Day 

May 11 :National Technology Day.

May 12: International Nurses Day 

May 14: Israel Independence Day

May 15 :International Day of the Family.

May 17: International Day Against Homophobia and Transphobia 

May 17 :World Telecommunication Day, World Information Society Day

May 22: International Day for Biological Diversity 

May 24 :Commonwealth Day.

May 25: International Missing Children's Day 

May 25: Africa Day

May 25: Towel Day 

May 31 :Anti-Tobacco Day.

June 1: National Cancer Survivors Day 

June 4 : International Day of Innocent Children Victims of Aggression.

June 5 : World Environment Day.

June 6: D-Day 

June 8: World Oceans Day

June 14: World Blood Donor Day 

June 18: Autistic Pride Day 

June 20: World Refugee Day

June 21: World Hydrography Day 

June 21: World Music Day 

June 26: International day against Drug abuse & Illicit Trafficking.

June 27: World Diabetes Day.

July 4: America Independence Day (United States) 

July 6: World Zoonoses Day.

July 11: World Population Day.

July 26: Maldives Independence Day

July 29: International Tiger Day

August 4: Friendship Day

August 6: Hiroshima Day,

August 9: Quit India Day and Nagasaki Day.

August 12: International Youth Day

August 13: International Lefthanders Day 

August 14: Youm-e-Azadi (Pakistan Independence Day)

August 14/15: Victory over Japan Day 

August 15: India Independence Day.

August 15: Korea Independence Day

August 16: Bennington Battle Day 

August 17: Indonesia Independence Day.

August 19: Afghanistan Independence Day

August 20: World Mosquito Day

August 20: Indian Akshay Urja Day

August 23: European Day of Remembrance for Victims of Stalinism and Nazism 

August 29 :National Sports Day.

August 31: Malaysia Independence Day

September 5 :Teachers' Day.

September 8 :World Literacy Day.

September 9: North Korea Independence Day

September 15: Engineer's Day 

September 16 :World Ozone Day.

September 19: International Talk Like a Pirate Day 

September 21 :Alzheimer's Day.

September 26: European Day of Languages 

September 26: World Contraception Day 

September 26 : Day of the Deaf.

September 27 : World Tourism Day.

October 1: World Vegetarian Day

October 1 : International day of the Elderly.

October 3: German Unity Day

October 3 :World Habitat Day.

October 4 :World Animal Welfare Day.

October 6: German-American Day 

October 8: National Hug Day

October 8 :Indian Air Force Day.

October 9 :World Post Office day.

October 10: World Mental Health Day 

October 10 :National Post Day.

October 13 :UN International Day for National disaster reduction.

October 14 :World Standards Day.

October 15: Pregnancy and Infant Loss Remembrance Day 

October 15 :World White Cane Day( guiding the Blind).

October 16 :World Food Day.

October 23: Mole Day 

October 24 :UN Day, World development information Day.

October 30 :World Thrift Day.

November 1: World Vegan Day 

November 1: All Saints' Day 

November 2: All Souls' Day 

November 5: Bonfire Night (also Guy Fawkes Night)

November 11: Armistice Day (also Remembrance Day)

November 11: Veterans Day 

November 14 : Children's Day ( in India )

November 19: International Men's Day 

November 19: World Toilet Day

November 20: Transgender Day of Remembrance 

November 20 :Africa Industrialization Day.

November 29 :International Day of Solidarity with Palestinian People.

November 30: Cities for Life Day 

December 1 :World Aids Day.

December 4 :Indian Navy Day.

December 4: Finland Independence Day.

December 5: International Volunteer Day

December 7 :Armed Forces Flag Day.

December 10 :Human Right Day.

December 23 :Kisan Divas Farmer's Day).

December 25: Christmas Day

December 25:Quaid-e-Azam(Mohammad Ali Jinnah) Day

Moving dates

Ash Wednesday – depends on the date of Easter (as early as February 4 or as late as March 10)

Chinese New Year – 1st day of the 1st month of the Chinese calendar

Easter – Western Christianity-Sunday March 22 to April 25 inclusive :: Eastern Christianity-April 4 and May 8 (1900 to 2100)

Islamic  New Year- Start from the month of Moharram(First month in Islamic Calender) 

Eid Ul Fitr - After completion of Ramadan.

Eid Al Adha - 10th day of Dhu al-Hijjah

Lantern Festival – 15th day of the 1st month in the lunar year in the Chinese calendar

Purim – 14th of the Hebrew month of Adar

Shrove Tuesday – the day before Ash Wednesday1

Martin Luther King, Jr. Day – 3rd Monday of January

Washington's Birthday - third Monday of February

Mother's Day – Second Sunday of May in many nations

Father's Day – Third Sunday of June in the U.S., United Kingdom and others

Queen's Official Birthday – first, second or third Saturday in June

Labor Day (US) - First Monday of the month of September

Thanksgiving (United States) – Third Thursday of November

Melbourne Cup Day – 1st Tuesday in November

World Philosophy Day – third Thursday in November, November 15

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