Quantitative Aptitude - Arithmetic Ability Questions

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.

Question:

What is the total age of the sisters 10 years from now?

Statements:

1. Lina is 20 years old now.

2. Lina's sister's age is twice that of the age of Lina.

Two cyclists P and Q cycle at 20 km/hr and 16 km/hr towards each other respectively. What was the distance (in kms) between them when they started if they met after 40 minutes?

If 5x ­- 3(4 ­ x) < 4x -­ 4 < 4x + 2x/3; then the value of x is

The point Q(a,b) is first reflected in y­-axis to Q1 and Q1 is reflected in x­axis to (­-5,3). The co­ordinates of point Q are

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

What is the fourth proportional to 6, 24 and 83?

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?