Quantitative Aptitude - Arithmetic Ability Questions

Select the odd letters from the given alternatives.

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

If 2cosAsinB = x, then the value of x is?

If a+1b=1 and b+1c=1 , then the value of c+1a is

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?