Quantitative Aptitude - Arithmetic Ability Questions

O is the centre of the circle and ∠AOB = 150°, and the shaded portion is x part of the circular region, then x = ?

The average of 8 consecutive integers is 23/2. What is the average of first three integers?

If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

In ΔPQR measure of angle Q is 90°. If tanP = 4/3, and PQ = 1.5cm, then what is the length (in cm) of side PR?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

A sum of Rs 4000 becomes Rs 5800 in 3 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 2 years?

If 1+121+141+161+181-131-151-17 = 1+ 1x, then what is the value of x?

The radius of a hemisphere is 14 cm, find its volume?