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. 

What is the population of State ‘A’?
 I. After increasing the population of State A by 15% it becomes 1.61 lakhs
 II. Ratio of population of State A to that of State B is 7 : 8 respectively
 III. Population of State B is 1.6 lakhs

A person invested some amount at the rate of 12 % simple interest and a certain amount at the rate of 10 % simple interest for 1 year. He received yearly interest of Rs. ₹ 130, but if he had interchanged the amount invested, he would have received 4 more as interest. How much did he invest at 12 % simple interest? 

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

20 women complete a work in 16 days, 16 men complete the same work in 15 days, then what will be the ratio of the capacities of men and women?

The slope of the line joining point P(-4, 7) and Q( 2, 3) is:

The selling price of the product was equal to 50% of its cost price. Two gradual discounts were offered on the product. If the first discount was 20%, then what was the second discount?

Directions:  The table given below presents the number of books on different subjects kept on separate shelves subjects with odd and even numbers are of arts and Science respectively

What is the ratio of the total numbers of books on arts to that of science?

A started the business with the investment of Rs. 36000. B and C joined him with some investments after 3 and 6 months. The profit is divided in the ratio of 2 ∶ 3 ∶ 5 at the end of the year. Find the difference between the investment made by B and C in the business.