Quantitative Aptitude - Arithmetic Ability Questions

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

7/15 of 5/3 of a number is greater than 7/9 of 3/5 of the same number by 9. Find the quadruple of the number.

The value of 16 - [5 - 2{14 of 2 - (8 ÷ 4 x 2 - 1 + 3}] is

Reflection of the point (-3,6) in the x-axis is

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

A sum of Rs 125 is divided among u, v and w in such a way that u gets Rs 10 more than v and v gets Rs 5 more than w. What is the ratio of their shares?

If a - b = 1 and ab = 6, then what is the value of a3- b3?