Numbers Questions

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

Convert binary 10110 to decimal.

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?

Which of the numbers given below is NOT rational?

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?

Find a two digit number which is exactly three times the product of its digits?

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

The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?