What value should come in place of the question mark (?)

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

If sec θ + tan θ = m(> 1), then the value of sin θ is (0° < θ < 90°)

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

Solve the cubic equation, x³ − 7x² + 14x − 8 = 0 and Find all real roots.

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

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

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

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

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.