Quantitative Aptitude - Arithmetic Ability Questions

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

A merchant marked cloth at Rs. 50/metre . He offers 2 successive discounts of 15% and 20%. The net price/metre is

The compound interest earned in two years at 12% per annum is Rs 10176. What is the sum (in Rs) invested?

A bank offers 20% compound interest per half year. A customer deposits Rs 6000 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

Given that the polynomial (x2+ ax+ b)leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units)of triangle ABD.