Quantitative Aptitude - Arithmetic Ability Questions

A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is ________.

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)

The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use π = 22/7)

The radius of a hemisphere is 14 cm, find its volume?

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

$$\begin{gathered} If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of \\ x + y + z – 5? \end{gathered}$$