Quantitative Aptitude - Arithmetic Ability Questions

The cube of 997 is

Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of 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 .

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

Select the odd word/letters/number/number pair from the given alternatives.

If a+1b = 1 and b+1c = 1 then c+1a = ?

If cos2x + cos4x = 1, then tan2x + tan4x =