Numbers Questions

The difference between the greatest and least five­ digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed)

The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.

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?

The sum of three consecutive even integers is 84. Which is the least integer among them?

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

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

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.