Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [tan (90 – A) + cot (90 – A)]2/[2 sec2(90 – 2A)]?

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x:y.

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

Car B is twice as fast as car A. If car A covers 90 km in 2 hours, what is the speed of car B?

The simplification value of 735+2-552+7+227+5 is

When 2x + 2x = 3, then x3 + 1x + 2 value is