Directions (Qs. 1-3) : Answer the questions based on the following information.
Recently, Bosch Babu spent his winter vacation on Hawaai Island. During the vacation, he visited the local casino where he came across a new card game. Two athletes, using a normal deck of 52 playing cards, play this game. One athlete is called the ‘broker’ and the other is called the ‘athlete’. First, the athlete picks a card at random from the deck. This is called the base card. The amount in rupees equal to the face value of the base card is called the base amount. The face values of ace, king, queen and jack are ten. For other cards the face value is the number on the card. Once the ‘athlete’ picks a card from the deck, the ‘broker’ pays him the base amount. Then, the ‘broker’ picks a card from the deck and this card is called the top card. If the top card is of the same suit as the base card, the ‘athlete’ pays twice the base amount to the ‘broker’. If the top card is of the same colour as the base card (but not the same suit), then the ‘athlete’ pays the base amount to the ‘broker’. If the top card happens to be of a different colour than the base card, the ‘broker’ pays the base amount to the ‘athlete’.
Bosch Babu played the game four times. First time he picked eight of clubs and the ‘broker’ picked queen of clubs. Second time, he picked ten of hearts and the ‘broker’ picked two of spades. Next time, Bosch Babu picked six of diamonds and the ‘broker’ picked ace of hearts. Lastly, he picked eight of spades and the ‘broker’ picked jack of spades. Answer the following questions based on these four games.

Question 1 : The initial money Bosch Babu had (before the beginning of the game sessions) was Rs. X. At no point did he have to borrow any money, the minimum possible value of X
(a) 100
(b) 16
(c) 8
(d) 24

Question 2  :  If Bosch Babu stopped playing the game when his gain would be maximized, What would be the gain in Rs.?
(a) 12
(b) 4
(c) 20
(d) 16

Question 3 :  If the final amount of money that Bosch Babu had with him was Rs. 100, the initial amount he had with him is
(a) 96
(b) 8
(c) 120
(d) 4

Answers and Explanations

Answers: Questions (1-3): The information given in the question can be presented in the tabular form as under

Answer 1 : (C)

The minimum amount  has to be Rs. 8 as he was left with a negative balance of Rs.8 after the first round.

Answer 2 : (A)

The maximum gain of Bosch Babu is Rs. 12 which is same after second and third round of game.

Answer 3 : (A)

Let initial amount of money which he had with him be Rs. X. Bosch has gained Rs 4 by playing the game.

X + 4 = 100 or X = Rs. 96.

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