Quantitative Aptitude - Arithmetic Ability Questions

An angle in a semicircle is

Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

What is the area (in sq cm) of a regular hexagon of side 14 cm?

The triangle ABC and DEF are similar to each other. The measure of the angle A and E is 67 and 83 degree respectively. What is the value of angle C?

What is the equation of the line if its slope is 1/4 and y-­intercept is ­-3?

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 25088, and Rs 28098.56 respectively, what is the rate of interest?

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?