CAT Quantitative Questions

A mixture of milk and water measures 60 litres. It contains 20% water. How many litres of water should be added to it so that water may be 25%?

A mixture of spirit and water measure 80 litres. It contains 20% water. How much water should be added to it so that water may be 25%

A man lent Rs.2000, part of this at 4% and the rest at 6% per annum simple interest. The whole annual interest amounted to Rs.92. How much did he lend at 6%?

A man invested Rs.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 Rs.140. How much did he invest at 5%?

There are two vessels A and B in which the ratio of milk and water are as 5:2 and 8:7 respectively. Two litres are drawn from vessel A and 3 litres from vessel B, and are mixed in another empty vessel. What is the ratio of milk and water in it?

Two litres of mixture in which there is 2/5 of water and the rest spirit is mixed with five litres 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?

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.

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.

A woman sold 100 oranges at Rs.12.10P, some at the rate of 3 for 35P and the rest at 7 for 85P. How many were sold at the first rate?

A merchant has 100 kgs 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?