Numbers Questions

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

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

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

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

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)

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

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

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.