Quantitative Aptitude - Arithmetic Ability Questions

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC­XY is

If a - b = 5 and a2 + b2 = 97, ab = ?

If 5 -­ x > 1 + 3x and 5 + 5x ≥ 2 + 2x; then x can take which of the following values?

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

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.

Choose the one which is different or odd from the following options?

Number of circles that can be drawn through three non-colinear points is