MAT (Stage-2) M...

The difference between the squares of two consecutive odd integers is always divisible by

A number, when divided by 114, leaves a remainder of 21. If the same number is divided by 19, the remainder will be

Two out of six papers for an examination are of physics. What are the number of ways in which the papers can be arranged so that two physics papers are not together?

The average monthly rainfall for a year in Tokyo is 2.7 inches. The average for the first 7 months is 1.1 inches less than the annual average. If the total rainfall for the next 4 months is 20.8 inches, calculate the rainfall in the last month.

The average score of 60 students in a class is 32.5. What will be the new average if the score of one student is altered from 88 to 78 and the score of another is altered from 13 to 43?

In 21 kg of an alloy, the ratio of copper to zinc by mass is 5 : 2. If 4 kg of copper is added to the alloy, then what will be the new ratio of zinc to copper?

Rs. 1400 is divided among three labourers: K, L and M in such a way that the ratio of L's share and K's share is 3 : 2 and the ratio of M's share and L's share is 5 : 4.

Which of the following is K's share?

A can do a piece of work in 20 days, while B can do it in 12 days. B works for 9 days and then leaves. In how many days can A alone finish the remaining work?

The speed of a boat in still water is 10 m/s and the speed of stream is 6 m/s. If the boat goes upstream and comes back downstream, then what is the ratio of the time taken to cover a particular stretch of distance in each direction?