Numbers Questions

The sum of two numbers is equal to thrice their difference. If the smaller of the numbers is 10 find the other number.

The 3rd and 8th term of an arithmetic progression are -14 and 1 respectively. What is the 11th term?

Which of the following is not a Triangular number?

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

The  sum  of  three  prime  numbers  is  100.  If  one  of  them  exceeds  another  by  36,  then  one  of  the numbers is

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

What least number must be subtracted from 3401, so that the sum is completely divisible by 11?

What least number must be added to 4131, so that the sum is completely divisible by 19?