Three numbers are such that if the average of any two of them is added to the third number, the sums obtained are 168, 174 and 180 respectively. What is the average of the original three numbers?

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? 

A buys a water cooler at some price and sells it to B at 20% profit. B sells it to C at 10% profit. If C bought it for Rs 6666, then B's cost price is

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)

Direction: The following diagram shows the percentage of population of Hindus, Sikhs and Muslims with respect to total population in a town during 2005 to 2008. Study the diagram and answer the questions:

If the total number of Hindus in 2008 was 12 lakh, the number of Muslim in 2008 was (in lakh)

Ritesh sold a pen for Rs. 36 with a profit of 20%. If it were sold for Rs. 33, then what could be the percentage of profit or loss?