Quantitative Aptitude - Arithmetic Ability Questions

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

If (6x ­- 5) = (4x + 7), then the numerical value of (x + 1)3  is

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

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?

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?

The diagonal of a cube is 192 cm. Its volume in cm3 will be