Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the odd number pair from the given alternatives.

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?

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

A sum of money (P) doubles in 10 years. How much would it be in 20 years at the same rate of simple interest?

If in 2 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs 7000 in 3 years at the same rate?

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?