Question No : 1
Alcohol cost Rs.3.50 per litre and kerosene oil cost Rs.2.50 per litre. In what proportion these should be mixed so that the resulting mixture may be Rs.2.75 per litre?
(1) 2 : 5
(2) 1 : 3
(3) 4 : 7
(4) 2 : 3
(5) None of these
Question No : 2
Pure milk costs Rs.3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at Rs.3 per litre. How many litres of water does he add?
(1) 2 litres
(2) 5 litres
(3) 7 litres
(4) 11 litres
(5) None of these
Question No : 3
In what ratio must water be mixed with milk to gain 20% by selling the mixture at cost price?
(1) 1 : 3
(2) 1 : 5
(3) 1 : 7
(4) 1 : 10
(5) None of these
Question No : 4
(1) 1 : 6
(2) 6 : 1
(3) 2 : 3
(4) 4 : 3
(5) None of these
Question No : 5
The ratio of milk and water in 55 litres of adulterated milk is 7 : 4. How much water must be added to make the mixture’s ratio 7 : 6?
(1) 5
(2) 10
(3) 15
(4) 25
(5) None of these
Question No : 6
How many litres of pure alcohol must be added to 10 litres of mixture which is 15% alcohol to make a mixture which will be 25% alcohol?
Question No : 7
300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
(1) 40 gm
(2) 50 gm
(3) 60 gm
(4) 70 gm
(5) None of these
Question No : 8
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?
(1) 1 : 2
(2) 3 : 2
(3) 2 : 3
(4) 4 : 5
(5) None of these
Question No : 9
In a mixture of 60 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water (in litres) to be further added is ______.
(1) 20
(2) 40
(3) 60
(4) 80
(5) None of these
Question No : 10
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?
(1) 3 : 1
(2) 3 : 2
(3) 4 : 3
(4) 5 : 3
(5) None of these
Question No : 11
A merchant lent out Rs.1,000 in two parts, one at 8% and the other at 10% interest. The yearly average comes out to be 9.2%. Find the amount lent in two parts.
(1) Rs.400, Rs.600
(2) Rs.500, Rs.500
(3) Rs.300, Rs.700
(4) Can’t say
(5) None of these
Question No : 12
How many kg of salt at 42 paise per kg must a man mix with 25 kg of sale at 24 paise per kg so that he may on selling the mixture at 40 paise per kg gain 25% on the outlay?
(1) 15 kg
(2) 18 kg
(3) 20 kg
(4) 24 kg
(5) None of these
Question No : 13
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:
Question No : 14
The number of millilitres of water added to reduce 9 ml of aftershave lotion, containing 50% alcohol, to a lotion containing 30% alcohol is
(1) 3
(2) 4
(3) 5
(4) 6
(5) None of these
Question No : 15
A mixture of Nitric acid and Sulphuric acid is taken in the ratio of 1 : 2 and another mixture of the same is taken in the ratio 2 : 3. How many parts of the two mixtures must be taken to attain a new mixture consisting of Nitric acid and Sulfuric acid in the ratio of 3 : 5?
(1) 3 : 5
(2) 5 : 3
(3) 2 : 3
(4) 3 : 2
(5) None of these
Question No : 16
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 per kg?
(1) 3 : 7
(2) 5 : 7
(3) 7 : 3
(4) 7 : 5
(5) None of these
Question No : 17
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.
(1) 1 : 3
(2) 2 : 3
(3) 3 : 4
(4) 4 : 5
(5) None of these
Question No : 18
In what ratio must water be mixed with milk costing Rs.12 per litre to obtain a mixture worth of Rs.8 per litre?
(1) 1 : 2
(2) 2 : 1
(3) 2 : 3
(4) 3 : 2
(5) None of these
Question No : 19
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%?
(1) 3 : 2
(2) 3 : 4
(3) 3 : 5
(4) 4 : 5
(5) None of these
Question No : 20
In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gm mixture 15 gm water was added, what would be the percentage of water in the new mixture?
(1) 75%
(2) 88%
(3) 90%
(4) 100%
(5) None of these
Question No : 21
A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar, what is the final quantity of milk left in the jar?
(1) 38.4 litres
(2) 40 litres
(3) 36 litres
(4) 28.6 litres
(5) 36.5 litres
Question No : 22
Jar A has 60 litres of mixture of milk and water in the respective ratio of 2 : 1. Jar B which had 40 litres of mixture of milk and water was emptied into jar A, as a result in jar A, the respective ratio of milk and water became 13 : 7. What was the quantity of water in jar B?
(1) 8 litre
(2) 15 litre
(3) 32 litre
(4) 7 litre
(5) 1 litre
Question No : 23
A vessel contains 180 litres of mixture of milk and water in the respective ratio of 13 : 5. Fifty-four litres of this mixture was taken out and replaced with 6 litres of water, what is the approximate percentage of water in the resultant mixture?
(1) 41%
(2) 31%
(3) 24%
(4) 9%
(5) 17%
Question No : 24
(1) 20%
(2) 22%
(3) 24%
(4) 25%
(5) None of these
Question No : 25
A jar contained a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar. This ratio became 2 : 3. The quantity of liquid A contained in the jar initially was
(1) 4 litres
(2) 8 litres
(3) 16 litres
(4) 40 litres
(5) None of these
Question No : 26
A shopkeeper bought 15 kg of rice at the rate of Rs.29 per kg and 25 kg of rice at the rate of Rs.20 per kg. He sold the mixture of both types of rice at the rate of Rs.27 per kg. His profit in this transaction is.
(1) Rs.125
(2) Rs.150
(3) Rs.140
(4) Rs.145
(5) None of these
Question No : 27
Nikita bought 30 kg of wheat at the rate of Rs.9.50 per kg and 40 kg of wheat at the rate of Rs.8.50 per kg and mixed them. She sold the mixture at the rate of Rs.8.90 per kg. Her total profit or loss in the transaction was
(1) Rs.2 loss
(2) Rs.2 profit
(3) Rs.7 loss
(4) Rs.7 profit
(5) None of these
Question No : 28
Lala has lent some money to Arun at 5% p.a. and Bhatia at 8% p.a. At the end of the year, he has gained an overall interest of 6%. In what ratio has he lent the money to Arun and Bhatia?
(1) 2 : 1
(2) 1 : 2
(3) 3 : 2
(4) 3 : 1
(5) None of these
Question No : 29
Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5?
(1) 4 : 3
(2) 3 : 4
(3) 5 : 6
(4) 7 : 9
(5) None of these
Question No : 30
A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?
(1) 24 litres
(2) 23 litres
(3) 24.3 litres
(4) 23.3 litres
(5) None of these
Question No : 31
A vessel contains 100 litres mixture of milk and water in the respective ratio of 22 : 3. 40 litres of the mixture is taken out from the vessel and 4.8 litres of pure milk and pure water each is added to the mixture. By what percent is the quantity of water in the final mixture less than the quantity of milk?
Question No : 32
There was 120 litres of pure milk in a vessel. Some quantity of milk was taken out and replaced with 23 litres of water in such a way that the resultant ratio between the quantities of milk and water in the mixture was 4 : 1 respectively. Again 23 litres of the mixture was taken out and replaced with 27 litres of water. What is the respective ratio of milk and water in the resultant mixture?
(1) 58 : 37
(2) 116 : 69
(3) 69 : 43
(4) 101 : 37
(5) 368 : 227
Question No : 33
18 litres of pure water was added to a vessel containing 80 litres of pure milk. 49 litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the respective ratio of 2 : 1. If the resultant respective ratio of milk and water in the vessel was 4 : 1, what was the quantity of pure milk added in the vessel? (in litres)
(1) 4
(2) 8
(3) 10
(4) 12
(5) 2
Question No : 34
In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3 : 5 : 4 respectively. A quantity of 12 litres from the mixture is replaced by 8 litres of apple juice. Thereafter the quantities of apple and orange juices in the resultant mixture become same. Find out the initial quantity of mixture in the vessel.
(1) 76 litres
(2) 65 litres
(3) 60 litres
(4) 80 litres
(5) None of these
Question No : 35
A vessel contains a mixture of Grape, Pineapple and Banana Juices in the respective ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice. What was the initial quantity of mixture in the vessel? (in litres)
(1) 120
(2) 150
(3) 105
(4) 135
(5) 90
Question No : 36
A 20 litres mixture contains milk and water in the respective ratio of 3 : 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements. What is the ratio of milk and water in the resultant mixture respectively?
(1) 17 : 13
(2) 9 : 1
(3) 4 : 17
(4) 5 : 3
(5) 3 : 14
Question No : 37
Jar A and jar B both contain mixture of milk and water. Jar A has 80 litres of mixture out of which 20% is water. The mixture in jar B has 40% of water. The mixture from both the jars is poured in and empty in jar C. The resultant respective ratio between milk and water in the jar C is 5 : 2. What is the quantity of milk in jar C? (in litres)
(1) 105
(2) 120
(3) 110
(4) 100
(5) 130
Question No : 38
A container contains a mixture of milk and water in the respective ratio of 2 : 3. 20 litres of the mixture is replaced with same quantity of milk. The respective ratio of milk and water now becomes 4 : 1. Find the initial quantity of the mixture in the container. (In litres)
(1) 30
(2) 32
(3) 35
(4) 36
(5) 40
Question No : 39
A jar had 120 litres mixture of milk and water in the respective ratio of 5 : 1. 30 litres of this mixture is taken out and ‘X’ litres of each milk and water is added to the jar. The respective ratio between milk and water in the jar was 4 : 1 respectively. What was the total quantity of both milk and water added to the jar? (in litres)
(1) 12
(2) 10
(3) 16
(4) 20
(5) 18
Question No : 40
A jar contains a mixture of milk and water in the respective ratio of 3 : 1. When 4 litres of the mixture is taken out and therefore 3 litres of milk is added to the remaining mixture, the respective ratio of milk and water in the resultant mixture thus formed is 4 : 1. What was the initial quantity of water in the mixture?
(1) 1 litres
(2) 6 litres
(3) 4 litres
(4) 2 litres
(5) 3 litres
Question No : 41
A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty six litres of this mixture was taken out and replaced with 10 litres of water. If the respective ratio of milk and water in the resultant mixture was 5 : 2, what was the initial quantity of mixture in the vessel? (in litres)
(1) 143
(2) 182
(3) 169
(4) 156
(5) 130
Question No : 42
(1) 160
(2) 180
(3) 200
(4) 250
(5) None of these
Question No : 43
Jar A has x litre milk and jar B has y litre water. 80% milk and 20% water was taken out from the respective jars and were mixed in jar C. The respective ratio between milk and water in jar C was 2 : 1. When 28 litres pure milk was added to jar C, the total quantity of mixture in jar C became 76 litre. What was the value of x?
(1) 90
(2) 50
(3) 60
(4) 80
(5) 40
Question No : 44
Vessel A contains a mixture of milk and water in the respective quantities of 20 litres and 4 litres. Vessel B contains a mixture of milk and water in the respective ratio of 3 : 1. Mixtures from vessel A and B are both mixed together in vessel C. If the resultant percentage of water in vessel C was 20% what was the initial quantity of mixture in vessel B? (in litres)
(1) 16
(2) 20
(3) 12
(4) 24
(5) 28
Question No : 45
In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to form a new alloy in which two elements are the ratio 5 : 8, the ratio of these two alloys in the new alloys is
(1) 3 : 10
(2) 3 : 7
(3) 10 : 3
(4) 7 : 3
(5) None of these
Question No : 46
(1) 32%
(2) 28%
(3) 30%
(4) 24%
(5) None of these
Question No : 47
Three glasses of equal volume contain acid mixed with water. The ratio of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is
(1) 417 : 564
(2) 401 : 544
(3) 407 : 560
(4) 411 : 540
(5) None of these
Question No : 48
A vessel contains 60 litre of milk. 12 litres of milk taken out from it and replaced by water. Then again from mixture, 12 litres are taken out and replaced by water. The ratio of milk and water in the resultant mixture is:
(1) 16 : 9
(2) 15 : 10
(3) 16 : 10
(4) 9 : 5
(5) None of these
Question No : 49
A can is full of a mixture of two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can is
(1) 21 litres
(2) 20 litres
(3) 10 litres
(4) 36 litres
(5) None of these
Question No : 50
Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirit and water is 4 : 1 in 2nd container the ratio is 11 : 4 and in the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:
(1) 4 : 9
(2) 9 : 5
(3) 11 : 4
(4) 5 : 10
(5) None of these
