Quantitative Aptitude - Arithmetic Ability Questions

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

Select the odd word/letters/number/number pair from the given alternatives.

If x -­ y = ­7 and x + y = 13, then x2 - y2 is

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

What is the value of (cosecA - cotA) / (secA + tanA)?

For what sum will the simple interest at R% for 2 years will be R?

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?