Quantitative Aptitude - Arithmetic Ability Questions

Four numbers A, B, C and D are such that their overall average is 16. The average of A and B is 9.5. The average of C and D is

The side of an equilateral triangle is 8 cm. Find its area (in cm2).

What is the circumference (in cm) of a circle whose area is 616 sq cm?

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?

If the sum of a number and its reciprocal be 2, then the number is

What are the co­ordinates of the mid point of the segment joining points C(5,­-2) and D(­-1,8).

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

Analyze the figure shown below in which DE || BC and the other dimensions are as follows: AD=3 cm, BD=4 cm, AE=4.4 cm and DE=6 cm. Calculate the length (in cm) of BC.