The nicotine content of the leaves of Nicotiana rustica

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

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

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

Quantity I – ³

Quantity II – 25⁴

If > 0 and < 0

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.

If (a² − b²)sin θ + 2ab cos θ = a² + b², then tan θ =

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