Quantitative Aptitude - Arithmetic Ability Questions

If sin(A/2) = x, then the value of x is

If cos 21° = x/y, then cosec 21° -­ cos 69° is equal to

If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?

Rs. 3105 is due to be divided among K, L and M in the proportion of 2/3 : 3/4 : 1/2 respectively. How much will L get?

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer.

$$\begin{gathered} I. x2–5x –24 = 0 \\ II. 2y2+ 19y + 35 = 0 \end{gathered}$$

The price of an article is cut by 9%, to restore to its original value, the new price must be increased by

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?