Quantitative Aptitude - Arithmetic Ability Questions

If the amount received at the end of 2nd and 3rd year at compound Interest on a certain Principal is Rs 9,600 and Rs 10,272 respectively, what is the rate of interest (in %)?

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

If the selling price is Rs 1680 after getting a discount of 16%, what was the marked price?

If x + 3 ≤ 4x + 4 and 5(4 -­ x) ­- 4 ≥ 5x - ­2; then

Find the length of one side of a rhombus whose area is 24 sq.cm and the sum of the lengths of its diagonals is 14 cm.