Numbers Questions

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

Which of the following is not a Triangular number?

How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

All rational numbers are ____ numbers.

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

If 49 is subtracted from the square of a number, then the result obtained is 576. What is the 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