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)

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

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

What is the digit in unit's place of the product 51 x 52 x 53 ...... 59?

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

The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?

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.