Quantitative Aptitude - Arithmetic Ability Questions

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

Sin6A + Cos6A - 1 is equal to

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

Possible length of the three sides of a triangle are :­

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

Two pipes P and Q can fill an empty tank in 25 hours and 20 hours respectively. Pipe R alone can empty the completely filled tank in 50 hours. Firstly both the pipes P and Q are opened and after 8 hours pipe R is also opened. What will be the total time (in hours) taken to completely fill the tank?

What is the equation of the line if its slope is 1/4 and y-­intercept is ­-3?