Quantitative Aptitude - Arithmetic Ability Questions

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

The point equidistant from the vertices of a triangle is called its

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

If x = a + 1a, y = a - 1a ,(a>0), then the value of x4+y4-2x2y2 is

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

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.

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