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 speed of the train?
 I. The train crosses a signal pole in 13 sec.
 II. The train crosses a platform of length 250 m in 27 seconds.
 III. The train crosses another train running in the same direction in 32 seconds.

Find the total number of Prime Factors of 720 ? 

Ratio of the income of A and B is 8 : 5, while expenditures is in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs. 10,000 monthly respectively, then the difference in their monthly incomes is: 

A, B and Center into a partnership with capitals in the ratio 5: 6: 8. At the end of the business term, they received the profit in the ratio 5: 3: 12. Find the ratio of time for which they contributed their capitals? 

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

 I. x²-7x + 12 = 0
II. y² - 12y + 32 = 0 

A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

Mr. Mike borrowed Rs. 8500 at 4 % per annum compound interest. The compound interest compounded annually for 2 yeas is:

If a number is increased by 30 % and after that it is decreased by 25 % and again it is increased by 25 % then find average change in percentage? (approx.)