Quantitative Aptitude - Arithmetic Ability Questions

The HCF of 36,54 and 108 is

If 7 + 4x > 3 + 3x and 3x -­ 2 < 5 -­ x; then x can take which of the following values?

Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?

The length of a chord which is at a distance of 5cm from the centre of a circle of radius 13cm is

A hollow hemispherical bowl is made of silver with its outer radius 8 cm and inner radius 4 cm respectively. The bowl is melted to form a solid right circular cone of radius 8 cm. The height of the cone formed is

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

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?