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?

One of four words is a class of which the other three belong. Identify the class.

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

The HCF of 36,54 and 108 is

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

At least two pairs of consecutive angles are congruent in a _____.

An angle in a semicircle is

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?