Quantitative Aptitude - Arithmetic Ability Questions

If cot(A/2) = x, then the value of x is

The area of a square is 40.5 cm². Find the length of its diagonal (in cm).

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

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.

In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were

If 2x-2x=1 (x≠0),then the value of x3-1x3 is

5 litres of honey contains 80% sugar. 3 litres of water is added to this honey. What is the percentage of sugar in the new mixture?

The cube of 105 is