Quantitative Aptitude - Arithmetic Ability Questions

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

What is the value of tan 1° tan 2° tan 3°....... tan 89°?

If 12x = 192- 112, what is the value of x?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

The income of S, T and U are in the ratio of 7 : 9 : 6 and their expenses in the ratio of 4 : 5 : 3. If S saves Rs 2000 out of an income of Rs 14000, then what will be the saving (in Rs) of T?

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

Find k, if the line 4x - y = 1 is perpendicular to the line 5x - ky = 2?