Quantitative Aptitude - Arithmetic Ability Questions

In ΔPQR measure of angle Q is 900. If sinP = 12/13, and PQ = 1cm, then what is the length (in cm) of side QR?

If 2sec2x - tan2x = 5 and 0° ≤ x ≤ 90°, then x = ?

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

Find the average of all prime numbers from 1 to 50.

What is the circumference (in cm) of a circle whose area is 616 sq cm?

Choose the correct option for the figure shown below.

Find the value of  y(y4 - y2 - y) when y = 5.