How many pairs of digits in the number ‘53475829’

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:

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

If α and β are the roots of equation x² – x + 1 = 0, then which equation will have roots α³ and β³?

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

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

If 2y cos θ  = x sin θ  and 2x sec θ -  y cosec θ  = 3, then the value of x²+ 4y² is

The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :

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

If a³ + 3a² + 9a = 1, then what is the value of a³ + (3/a)?

If (2x + 3y+ 4) (2x + 3y 5) is equivalent to (ax² + by² + 2hxy + 2gx + 2fy + c), then what is the value - of ((g + f – c) / abh}?