Quantitative Aptitude - Arithmetic Ability Questions

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A? 

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

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?

The percent profit made when an article is sold for Rs. 78 is twice as much as when it is sold for Rs. 69, the cost price of the article is?

If ab+ba = -1, then the value of a2b-b2a is

If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

The first and last terms of an arithmetic progression are 37 and ­18. If the sum of the series is 114, then it has how many terms?

An article was sold for Rs. 2,400 at a discount of 20%. Find the selling price, if the discount was 25%.