P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?

The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?

If for a sample data

Mean < Median < Mode

then the distribution is

How many numbers arc there between 99 and 1000 such that the digit 8 occupies the units place?

Examine the following statements:

1. All colours are pleasant.

2. Some colours are pleasant.

3. No colour is pleasant.

4. Some colours are not pleasant.

Given that statement 4 is true, what can be definitely concluded?

Certain 3-digit numbers following characteristics:

1. All the three digits are different.

2. The number is divisible by 7.

3. The number on reversing the digits is also divisible by 7.

How many such 3-digit numbers are there?