Directions: Each of the questions consists of a question followed by three statements. You have to study the questions and the statements and decide which of the statements(s) is/are necessary to answer the question. 

How many workers are required for completing the construction work in 10 days?
 I. 20% of the work can be completed by 8 workers in 8 days
 II. 20 workers can complete the work in 16 days
 III. One-eighth of the work can be completed by 8 workers in 5 days

Which of the following statements is /are True?
I. $$ {33^3}>{3^{33}}$$
II. $$ {333}>{(3^{3})^{3}}$$

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is; 

A table is sold at a profit of 20%. If both the cost price and the selling price of the table are decreased by Rs. 100, then new profit percent becomes 25%.Find the original cost price of  table.

A takes a loan of Rs. 1500 from a bank at the rate of 10% simple interest for 3 years and lends to B at the rate of 15% for the same time period. Find the overall profit of A in the whole transaction.

If x is the mean proportional between 20 and 5 and y is the third proportional to 16 and 64, then find the value of x/y.