Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

Find the value of 'a' for which x+3x+a24 is a perfect square.

The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is

What are the co­ordinates of the centroid of a triangle, whose vertices are A(­2,­5), B(4,­4) and C(7,3)?

What is the reflection of the point (5, -2) in the line x = -1?

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

If sinθ x cosθ = 1⁄2 . The value of sinθ ­- cosθ is where 0°< θ< 90°