Quantitative Aptitude - Arithmetic Ability Questions

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

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.

A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

The centroid of a triangle is the point where

19 x 23 = 437. Then 190 x 0.023 = ?

Which of the following fractions is largest?