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Q #16
:

CAT Permutation and Combination: Rearranging Letters


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In how many ways can letters the word ATTITUDE be rearranged such that no two Ts are adjacent to each other?


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Q #17
:

CAT Permutation and Combination: Possible Integer Solutions


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2a + 5b = 103. How many pairs of positive integer values can a, b take such that a > b?


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Q #18
:

CAT Probability: Rearrangement of Letters


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If all the rearrangements of the word AMAZON are considered, what is the probability that M will feature between the 2As?


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Q #19
:

CAT Probability: Number Theory


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N is a 3-digit number that is a multiple of 7; what is the probability that it will be a multiple of 5?


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Q #20
:

CAT Probability


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A boss decides to distribute Rs. 2000 between 2 employees. He knows X deserves more that Y, but does not know how much more. So he decides to arbitrarily break Rs. 2000 into two parts and give X the bigger part. What is the chance that X gets twice as much as Y or more?


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