# CRE 1 - Strategy Games | DI - Games & Tournaments

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**Answer the next 3 questions based on the information given below:**

Two people Surya and Prithvi are playing a game Some balls are kept on the floor. A person can pick 1, 2 or 3 balls in a turn. Each player takes alternate turns. The one who picks the last ball loses the game. Assume that each player plays intelligently and with an intention to win.

**CRE 1 - Strategy Games | DI - Games & Tournaments**

If Prithvi managed to win the game though Surya began the game, what could have been the minimum number of balls greater than 5 that were lying on the floor?

- (a)
7

- (b)
9

- (c)
13

- (d)
15

Answer: Option B

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**CRE 1 - Strategy Games | DI - Games & Tournaments**

If Prithvi were to begin the game and win it, what is the number of balls on the floor that is impossible for the game to have begun with?

- (a)
13

- (b)
14

- (c)
15

- (d)
16

Answer: Option A

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**CRE 1 - Strategy Games | DI - Games & Tournaments**

If the number of balls on the floor is 47 and Surya is going to start the game then how many balls should he pick in his first turn to ensure his win, irrespective of what Prithvi does in the entire game remaining?

- (a)
3

- (b)
2

- (c)
1

- (d)
Either A or B

Answer: Option B

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**Answer the next 3 questions based on the information given below:**

Two people Ronak and Samyukta are playing a game. Some pebbles are kept on the floor. A person can pick 1, 2 or 3 pebbles in a turn. Each player takes alternate turns. The one who picks the last pebbles wins the game. Assume that each player plays intelligently and with an intention to win.

**CRE 1 - Strategy Games | DI - Games & Tournaments**

What is the winning strategy that a player employs to win the game?

- (a)
leave marbles in the form 4k + 1

- (b)
leave marbles in the form 4k

- (c)
None of these

- (d)
Cannot be determined

Answer: Option B

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**CRE 1 - Strategy Games | DI - Games & Tournaments**

The number of pebbles lying on the floor is between 20 & 23 (both inclusive) and it is Samyukta’s turn to pick. If she picks 2 pebbles to ensure her win, how many pebbles were lying on the floor?

Answer: 22

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**CRE 1 - Strategy Games | DI - Games & Tournaments**

If there are 61 pebbles lying on the floor and it is Ronak’s turn to start how many pebbles must he pick in order to ensure her win?

Answer: 1

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