What will be the percentage of porosity of a soil which has 1.5g/cm³ bulk density and 2.65 g/cm³ particle density?

Which is the largest six digit number, which when divided by 12, 15, 20, 24 and 30, leaves the remainders 8, 11, 16, 20 and 26 respectively.

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

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

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

If 2cos² Ɵ – 5cos Ɵ + 2 = 0,0⁰ < Ɵ < 90⁰ , then the value of (cosec Ɵ + cot Ɵ) is :

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

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

If a³ = 117 + b³ and a = 3 + b, then the value of a + b is:

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