Quantitative Aptitude - Arithmetic Ability Questions

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

 In the following question, select the odd letter/letters 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.

Simplify (b2x 3a2z4 ) × (b2x 4a4z3 )/(a3b2z4 )

Given: x -­ 5 ≤ 2x -­ 3 and 2x - ­1/2 ≥ 5x + 2; then x can take which of the following values?

Expand and simplify (x + 4)2 + (x -­ 2)2

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

What is the value of (3/5 + 7/9)?