Quantitative Aptitude - Arithmetic Ability Questions

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

If (7x -­ 13) ­ (12x + 3) = 14, then the value of x is ______ .

If the sum of squares of three consecutive natural number is 2702. Then, what will be the middle number?

A certain principal is invested in a scheme of compound interest. The amount obtained after 1 year is Rs 2400 and the amount obtained after 2 years is Rs 2880. What is the rate of interest (in percentage)?

At 5% simple interest per annum a certain sum yields a total amount of Rs. 2,790 at the end of 3 1/4 years. The sum invested was

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

The sum of three consecutive even numbers is 42. Find the middle number.

The average revenues of 7 consecutive years of a company is Rs 71 lakhs. If the average of first 4 years is Rs 66 lakhs and that of last 4 years is Rs 78 lakhs. What is the revenue for the fourth year.