Numbers Questions

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

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

Which of the numbers given below is NOT rational?

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

Which is the correct ascending order of the given numbers?

A number is greater than 58 times its reciprocal by 3/4. What is the number?

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?