Quantitative Aptitude - Arithmetic Ability Questions

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

What value of 'p' will satisfy the equation p540 = 240p ?

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.

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

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

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

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.

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?