Numbers Questions

A number is greater than twice its reciprocal by 31/4. Find the number.

Which value among 53, 64,126,27612 is the largest?

Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

What is the largest 4 digit number that is exactly divisible by 93?

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?

Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.