Quantitative Aptitude - Arithmetic Ability Questions

The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

What is the value of 64% of 75% of 8100?

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

Findout the odd word/letters/number/number pair from the given alternatives.
7 : 50 : : 9 : ?

If 3x - 8(2 - x) = -19, then the value of x is

A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was

A man travels 401 kilometres in, partly by rail and partly by steamer. He spends 6 hours more time on steamer. If the velocity of the steamer is 21 km/hr and the velocity of rail is 56 km/hr, how much distance does he cover by steamer?