Two trains start simultaneously from A and B and travel towards each other at the rates of 85 km/h and 77.5 km/h respectively. When they meet, one train has travelled 60 km more than the other. The distance between A and B is

In a zoo, the rabbits and pigeons are kept together in a room. If heads are counted, then number of heads is 100; but if all the legs are counted, then number of legs is 288. The number of pigeons is

The rate of interest on a sum of money is 4 per cent per annum for the first two years, 6 per cent per annum for the next four years and 8 per cent per annum for the period beyond six years. If the simple interest accrued by the sum for a total period of nine years is Rs. 1120, w…

The ratio between the ages of A and B at present is 2 : 3. Five years hence the ratio of their ages will be 3 : 4. What is the present age of A in years?

In a college reunion, there are 48 students. The ratio of the number of boys to girls is 5 : 3. What is the number of girls that need to be added such that ratio of the number of boys to girls becomes 6 : 5?

The prices of sugar increase by 32%. A family reduces its consumption so that the expenditure on sugar is up only by 10%. If the total consumption of sugar before the price-rise was 10 kg per month, then the consumption of sugar per month at present, in kg, is

7563 − 3948 + 1054 = ?

The banks of a river are parallel. A swimmer starts from a point on one of the banks and swims in a straight line inclined to the bank at 45° and reaches the opposite bank which is 20 m from the starting point. The breadth of the river is

13² − 12² = (?)²