Quantitative Aptitude - Arithmetic Ability Questions

5 litres of honey contains 80% sugar. 3 litres of water is added to this honey. What is the percentage of sugar in the new mixture?

In ΔXYZ measure of angle Y is 90°. If cosecX = 17/15, and XY = 4cm, then what is the length (in cm) of side YZ?

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

If a + b = 8 and ab = 15, then what is the value of a3 + b3?

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

If secθ = cosecq with 0° < θ , q < 90°, then the value of sin (θ + q) is

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?