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?

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

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

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

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