Maths Paper

Question 1

5 pirates of different ages have a treasure of 100 gold coins.

On their ship, they decide to split the coins using this scheme:

The oldest pirate proposes how to share the coins, the OTHER pirates (not including the oldest) will vote for or against it.

If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.

Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

Question 2:

Place 10 balls in 5 lines in such a way that each line has exactly 4 balls on it.

Question 3:

A customer buys goods worth 200 rupees from a shop. The shopkeeper selling these goods makes zero profit from this purchase.

The lady gives him a 1000 rupee note.

The shopkeeper has no change, so he goes next door to another shopkeeper to get change for the 1000 rupee note. He keeps 200 for himself and returns 800 to the customer.

Later, the second shopkeeper from next door comes back with the 1000 rupee note with a stamp on it saying "counterfeit" and takes his money back.

How much loss does the first shopkeeper face?

Question 4:

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A. 1 : 3 B. 3 : 2

C. 3 : 4 D. None of these

Question 5:

Next number in series 1, 11, 21, 1211, 111221?

Questions 6:

4,6,8,10,12,14,?

Question 7:

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4 B. 7

C. 9 D. 13

Question 8:

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 4 years B. 8 years

C. 10 years D. None of these

Question 9:

In...