Quantitative Aptitude - Arithmetic Ability Questions

A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of theconical heap is 24 cm, what is the radius of its base?

O is the centre of a circle and AB is the tangent to it touching at B . If OB = 3 cm. and OA = 5 cm , then the measure of AB in cm

The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is

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?

A mini-van crosses two people walking at the speed of 4.8 kmph and 6 kmph in the same direction as that in which the mini-van is heading in 4.5 s and 9 s, respectively. What is the length of the mini-van?

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

One of four words is a class of which the other three belong. Identify the class.