Quantitative Aptitude - Arithmetic Ability Questions

When a discount of Rs. 42 is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.

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 =

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

If P travelled the first half of a journey at 40 kmph and the the remaining distance at 50 kmph, what is the average speed of his travel?

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

If sinθ+cosθsinθ-cosθ=3,then the value of sin4θ-cos4θ is