Quantitative Aptitude - Arithmetic Ability Questions

If sin(A/2) = x, then the value of x is

If x , y, and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0 then (x+y+z) is equal to

Gautam travels 160 kms at 32 kmph and returns at 40 kmph. Then average speed is

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A map is drawn at a scale of 2 mm for 500 kms. Two places are marked at the distance of 3.6 mm; calculate the distance (in kms) between these two places?

A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?

ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is

The perimeter and the breadth of a rectangle are 60 cm and 14 cm respectively. Find its area (in cm²)