Explore topic-wise MCQs in Maths.

A tank contains a mixture of 80 litre of milk and water. 70% of the milk and 30% of the water are drawn, therefore 55% part of the tank become empty. Find the initial quantity of milk and water in the tank.

620 litres of a mixture contains milk and water in the ratio 5: 3. How much water is to be added to get a new mixture containing milk and water in the ratio 5 : 4?

120 kg of an alloy A is mixed with 200 kg of alloy B. If alloy A has lead and tin in the ratio of 3 : 2 and alloy B has tin and copper in the ratio of 1 : 4, then find the amount of tin in the new alloy ?

In a mixture of 35 liters, the ratio of milk and water is 4 : 1. How many liters of water must be added to make the ratio 2 : 3?

Vessels A and B contain mixture of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to from a mixture in which milk to water is in the ratio 5 : 4 ?

Three containers contain mixture of milk and water in the ratio 5 : 3,2 : 1 and 7 : 5 respectively . The measurement of containers are in the ratio 4 : 5 : 6. Mixture of all the containers are mixed to get a new mixture . Find the ratio of water and milk in the new mixture .

A cask contains 24 litre mixture of wine and water in the ratio 3 : 1. How much mixture must be drawn off and replaced with water so that the quantity of wine and water becomes equal ?

How many kg of pure salt must be added to 40 kg of 4% solution of salt and water to increase it to 12% solution?

5 litres of mixture of milk and water contains 25 litres milk more than water. 15 litres of water is added to it. The ratio of milk to water in the final mixture is

A vessel contain some litres of pure milk. If 25 litre of water is added to the vessel, then ratio between milk and water becomes 12:5, 17 litres of mixture is drawn from the vessel and 10 litre of water is added to the mixture. Find the new ratio between milk and water.

200 litres of mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5 % milk is:

An alloy contains zinc, copper and tin in the ratio 2:3:1 and an other contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be.

In one glass, milk and water are mixed in the ratio 3:5 and in another glass they are mixed in the ratio 6:1.In what ratio should the content of the two glasses be mixed together so that new mixture contains milk and water in the ratio 1:1?

Alcohol and water in two vessels A and B are in the ratio 5:3 and 5:4 respectively. In what ratio, the liquid of in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7:5?

In what proportion must a grocer mix sugar at Rs. 12 a kg and Rs. 7 a kg Sugar as to make a mixture worth Rs 8. a kg?

Ankit has three varieties of rice costing 18 Rs/kg,25 Rs/kg and 36 Rs/kg, In what possible ratio he should mix these three varieties so that on selling whole mixture at 23.10 Rs/kg he may get a profit of 10%?

A man purchased two different kinds of alcohol. In the first mixture, the ratio of alcohol to water is 4 : 5 and in second mixture it is 6 : 7. If he mixes the two given mixtures and makes a third mixture of 22 litres in which the ratio of alcohol to water is 5 : 6, the quantity of first mixture that is required to make 22 litres of the third kind of mixture is.

If 10 litres of milk-water mixture in ratio 3 2 is mixed with 10 litres of another milk-water mixture in ratio 4 1, then find the quantity of water in the new mixture.

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

An alloy contains copper and tin in the ratio 3: 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

If X beakers of 100 ml containing 1 : 4 acid-water solution are mixed with Y beakers of 200 ml containing 3:17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19:91 Find X : Y .

A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drained 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?

Two varieties of rice, A and B, costing Rs.210 and Rs.280 per kg respectively are mixed in the ratio of 3:4. The mixed variety is sold at Rs. 260 per kg. What is the profit percentage?

Rahul purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3:4 and in the second mixture it is 5:6. If he mixes the two given mixture and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4:5, the quantity of first mixture (whose ratio is 3:4) is required to make the 18 litres of the third kind of mixture is:

In a mixture of milk and water milk is found to be 28%. When 16 litre water is added in the mixture new percentage of milk in mixture becomes 20%. Find the initial quantity of mixture.

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___

6 litres are drawn from a cask full of wine and it is then filled with water. 6 litres of the mixture are drawn and the cask is again filled with water. The quantity of wine now left in the cask is to that of the water in it as 121 : 23. How much does the cask hold?

A mixture of 40 liters of milk and water contains 30% water. How much milk should be added to this mixture so that the new mixture contains 80% milk?

A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty-six litre of this mixture was taken out and replaced with 8 litre of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel ? (in litre)

Two casks of 48 liter and 42 liter are filled with mixtures of milk and water, the proportions in the two casks being respectively 13 : 7 and 18 : 17. If the contents of two casks be mixed and 20 liter of water be added to the whole , what will be the proportion of milk and water in the resulting mixture ?

A sample of 50 litres of glycerine is found to be adulterated to the extent of 20 % . How much pure glycerine should be added to it so as to bring down the percentage of impurity to 5 %?

Milk and water are mixed in vessel A in the ratio of 5:2 and in vessel B in the ratio of 8:5. In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the ratio of 9:4 ?

Three vessels whose capacities are in the ratio of 3: 2: 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5: 2, 4: 1 and 4: 1 respectively. Taking 1/3 of first, 1/2 of second and 1/7 of third mixtures, a new mixture kept in new vessel is prepared. The percentage of water in the new mixture is

A container contains a mixture of acid and water in which water is 24%. If 50% of the mixture is taken out in which water is 156 liters less than the acid, then find the remaining quantity of acid in that container?

The ratio of milk and water in 42 litres of milk and water is 4 : 3. If x litres less of both quantities liquids be mixed up then their ratio becomes 7 : 5. Find the value of x.

In a mixture 25 litres, the ratio of milk and water is 4:1. How many litres of milk must be added to make the ratio 16:1?

X liters of milk is taken out and replaced with water from a container having 240 liters milk. Now, 20% of the mixture is taken out and replaced with water. In final mixture, the difference in quantity of milk & water is 128 liters. Find X.

The ratio of milk and water in mixture of four containers are 5:3,2:1, 3:2 and 7:4 respectively. In which container is the quantity of milk, relative to water, minimum?

Some litres of acid were drawn off a 54-litre vessel full of acid and an equal amount of water added. Again, the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 litre of pure acid. How much of the acid was drawn off initially?

Abdul prepared 42 litres of medicine and filled it in bottles of 280 ml each. Find how many bottle would be required?

A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced with water. Then again form mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is :