Quantitative Aptitude - Arithmetic Ability Questions

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

Which of the set of three sides can't form a triangle?

The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?

The sum of the digits of a 2-digit number is 8. If we add 36 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

If x4+1x4=119,then the value of x-1x is

Two fractions are such that their product is ­2/5 and sum is 1/15. What are the two fractions.