Quantitative Aptitude - Arithmetic Ability Questions

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?

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

What is the curved surface area (in cm²) of a hemisphere of diameter 42 cm?

Find the value of  y(y4 - y2 - y) when y = 5.

What is the digit in unit's place of the product 51 x 52 x 53 ...... 59?

Find out the odd word/letters/number/number pair from the given alternatives.

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with someLogic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.