Quantitative Aptitude - Arithmetic Ability Questions

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

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

If 3 dozen guavas cost Rs. 90, how many guavas can be bought for Rs. 240?

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

What number should be added to each of 4, 16, 18 and 58 so that the resulting numbers will be in proportion in the given order?

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

If 2(5x - ­4) -­ 2 < 2x ­- 1 < 4x - ­2; then the value of x is

What is the value of cot210°?