Which renowned luxury brand has appointed Alia Bhatt as its first Indian global ambassador?

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

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

Find x, given 5 (√5)^x+6 = (√5)^2x+7 :

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

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

If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P² + 1/Q²?

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.

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