Quantitative Aptitude - Arithmetic Ability Questions

The length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively. Find its area (in cm2).

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

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 some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

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.

A natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by