Quantitative Aptitude - Arithmetic Ability Questions

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

The product of the ages of Swati and Aparna is 120. If thrice the age of Aparna is more than Swati's age by 2 years, find the age of Swati.

Abhay and Chintan are riding their motorcycles. They start from the same point. Abhay rides 7 km North, then turns to his left and rides 4 km. In the meanwhile Chintan rides 6 km West, then turns North and rides 7 km, then turns to his left and rides 8 km. Where is Abhay with respect to Chintan?

Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

In the following question, select the odd number pair from the given alternatives.