Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (cot30°+ 2/√3) ?

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

If two marbles are picked at random, what is the probability that either both are red or both are green?

If 5x - 4 ≤ 2 - x and 4x + 5 > 2x - 5, then x can take which of the following values?

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

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

If x3 – 4x2 + 19 = 6(x – 1), then what is the value of [x2 + (1/x – 4)]?

What is the value of (1 + cotA)2 + (1 -­ cotA)2?