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

There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.

If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x² + y² equals

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 x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are

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

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