A boy is playing a Snake amp Ladder game he is on 91 and has to get to 100 to complete the game Ther...........

Quantitative Aptitude(IBPS PO) Permutation & Combination

A boy is playing a Snake & Ladder game; he is on 91 and has to get to 100 to complete the game. There is a snake on 93 and 96. In how many ways he can complete the game, if he doesn’t want to roll the dice more than three times.

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Explanation:

91 --92 — 93 — 94 — 95 — 96 — 97 — 98 — 99 — 100

Total position advance needed = 100 – 91 = 9 One roll of dice can’t complete the game.
If he completes in two roll of dice.

Possible dice throws are – (3&6), (4&5), (5&4), (6&3) But (5&4) will bring the token on 96, so this is rejected. If he completes the game in three roll of dices
First dice reading options are 1,3,4,6

After checking all option and rejecting those in which token reaches on 93 or 96 Possible dice throws are (1,2,6), (1,3,5),(1,5,3), (1,6,2) ;
(3,1,5),(3,3,3),(3,4,2),(3,5,1);

(4,2,3),(4,3,2),(4,4,1)

(6, 1, 2), (6, 2, 1)

Total number of ways = 16 Hence, option C is correct.