Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

What is the value of sin 5π/3?

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

Select the odd word/letters/number/number pair from the given alternatives.

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?