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Q #31
:

Directions: Select the correct alternative from the given choice.

Eight men have their first names, as Ratan, Rama, Ramesh, Ramu, Rakesh, Rajan, Rishabh and Rohit and their surnames are Kulkarni, Arona, Jain, Dutta, Singh, Sharma, Sen and Rao, not necessarily in the same order. These eight persons are sitting around a circular table as per the following instructions.

  1. Ramu is sitting opposite to Kulkarni and to the left of Singh. Rajan is sitting opposite to Sharma and next to Rao, who sits to the left of Rama.
  2. Arora is sitting opposite to Ratan and Rohit sits adjacent to Dutta. Rama, who is next to Rishabh and Ramesh, sits opposite to Sen.

It RishabhArora sits between Kulkarni and Sharma, and sits opposite to Singh, then who sits opposite to RakeshDutta?

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Names :Ratan, Rama, Ramesh, Ramu, Rakesh, Rajan, Rishabh and Rohit.

Surnames :Kulkarni, Arora, Jain, Dutta, Singh, Sharma, Sen and Rao.


Q #32
:

Directions: Select the correct alternative from the given choice.

Four persons – A, B, C and D – are compared to each other in term of richness and age. It is known that no person gets the same rank in the two comparisons and no two persons get the same rank in a single comparison.

    Either A or B is the poorest. Unless A is 3rd poorest, D cannot be the youngest, B is the 2nd youngest.

In these two comparisons if each person is ranked the 1st or the 4th, but not both, then to get a definite arrangement, which of the following statements will be required?

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D is the youngest

Q #33
:

Directions: Select the correct alternative from the given choice.

In Alps Mountains, to reach one place from another, one-way or two-way tunnels are used. There are eight tunnels interconnecting places A, B, C, D and E. The one-way tunnels are A to B, C to E, A to E, D to B, A to D, A to C. Two-way tunnels are between B and C, D and E.

In how many different ways can C be reached from any of the other places without visiting any place twice?

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Answer: 7

Q #34
:

Directions: Select the correct alternative from the given choice.

Shonika and Smaraki are playing a game where they pick up coins alternately from the coins kept on a table. The rules of the game say that

  1. Each person has to pick up at least one coin in her turn
  2. No person can pick up more than 6 coins in each turn

The person who picks up the last coin from the table is the loser and the other person is the winner.

If, at some stage of the game, there are 16 coins on the table, and it is Shonika's turn to pick up the coins, how many should she pick up to ensure her win irrespective of what Smaraki does in later steps?

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The number of coins on the table is 16. To assured of the win Shonika should ensure that she picks up the 7k + 2 coins, which in this case is the 16th coin. Hence, Shonika should pick up just 1 coin.

Q #35
:

Directions: Select the correct alternative from the given choice.

Shonika and Smaraki are playing a game where they pick up coins alternately from the coins kept on a table. The rules of the game say that

  1. Each person has to pick up at least one coin in her turn
  2. No person can pick up more than 6 coins in each turn

The person who picks up the last coin from the table is the loser and the other person is the winner.

At one stage during the game, when there were 28 coins on the table and it was Smaraki's turn, she picked up 2 coins. Assuming that Shonika does not make any mistake and plays her every turn to win, is Smaraki's move correct to ensure her own win?

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Number of coins = 28 Winning strategy = Pick the 7k + 2 coin. The 7k + 2 coin in this case is the 23rd coin. To win Smaraki should pick 6 coins (i.e., 28th, 27th , ……23rd coin). Hence the strategy adopted in this case is wrong. Answer: No