Numbers Questions

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

Which of the following is not a Triangular number?

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

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?

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Given that the polynomial (x2+ ax+ b)leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

The average of 8 consecutive integers is 23/2. What is the average of first three integers?