Quantitative Aptitude - Arithmetic Ability Questions

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

If cotA/√(1 + cot2A) = x, then the value of x is

If sinθ+cosθsinθ-cosθ=3,then the value of sin4θ-cos4θ is

Find out the odd word/letters/number pair from the given alternatives

If a -­ b = 3 and ab =28, then a3 - b3 is

Coefficient of x2in (x + 9)(6 - 4x)(4x - 7) is

The sum of two fractions is 5/6. One of them is 3/4, what is the other fraction?

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?