Quantitative Aptitude - Arithmetic Ability Questions

If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the largest angle.

A circle has points P, Q, R on a circle in such a way that angle PQR is 60 deg and angle QRP is 80 deg. Calculate the angle subtended by an arc QR at the centre.

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is

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