Quantitative Aptitude - Arithmetic Ability Questions

The least value of tan2x + cot2x is

If Cot θ = 21/20, then what is the value of Sec θ?

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3 – 3abc?

Ravi has a roadmap with a scale of 1.5 cm for 18 km. He drives on that road for 72 km. What would be his distance covered in that map.

∆ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

Rs. 490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share?

ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is