The average age of a class of 25 girls is 16 years. If 5

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

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

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

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 x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x³ + y³ + z³ + xyz  is :

If a³ + 3a² + 9a = 1, then what is the value of a³ + (3/a)?

If x² + y² + 2x + 1 = 0, therefore the value of x³¹ + y³⁵ is

If 8x² + y² − 12x − 4xy + 9 = 0, then the value of (14x − 5y) 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)