Quantitative Aptitude - Arithmetic Ability Questions

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

What is the value of √[(1 + sinA)/(1 -­ sinA)]?

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?

If the shopkeeper sells an item at Rs 1000 which is marked as Rs 1250, then what is the discount he is offering?

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?