Quantitative Aptitude - Arithmetic Ability Questions

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

If cot 135° = x, then the value of x is

The sum of three consecutive even numbers is 42. Find the middle number.

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

Find the number of prime factor of 1024.