In a lottery, there are 5 prizes and 20 blanks. A

10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work.

The total number of even factors of 2⁵ × 3³ × 5² is:

There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.

If a + b² + c² = 16, x² + y² + z² = 25 and ax + by + cz = 20, then the value of (a+b+c)/(x+y+z)

The expression of (cot θ + cosec θ −1) / (cot θ − cosec θ+1) is equal to

If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:

The simple interest accrued on a sum at the rate of 10% p.a. for two years is Rs. 5,000.

If (x - 1/x)² = 3, then the value of x⁶ + 1/x⁶ equals

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

If a + 1/a = -2 then the value of a¹⁰⁰⁰ + a^{- 1000} is