Quantitative Aptitude - Arithmetic Ability Questions

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

Select the odd word/letters/number/number pair from the given alternatives.

In Δ ABC , if ∠BAC = 90° and AB = AC , then ∠ABC is

G is the centroid of the equilateral triangle ABC, if AB = 9cm then AG is equal to

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

There are two numbers such that the first number is half of the second number. If their average is 57, then what is the first number?

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs 1200 for 2 years at 10% per annum. The sum placed on simple interest is

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?