Quantitative Aptitude - Arithmetic Ability Questions

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?

The price of a shirt after 15% discount, is Rs.119. What was the marked price of the shirt before discount

Which of the following is correct?

Find out the odd word/letters/number/number pair from the given alternatives.

Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?

At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5%?

If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?