Horse: Filly:: Cockroach:?

Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.

If x + y + z = 0, then what is the value of (3y² + x² + z²)/(2y² – xz)?

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

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

If 0 ≤ θ ≤ 90°, and sec¹⁰⁷ θ + cos¹⁰⁷ θ = 2, then. (secθ + cosθ) is equal to:

An urn contains 3 green, 5 blue, 6 black and 4 yellow marbles.

The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is

If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is

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

If x + y = 7 and xy = 10, then the value of (1/x³ + 1/x³) is :