CAT 2003 Question Paper (Leaked) Question 68

Question 68

Is $$a^{44} < b^{11}$$, given that a = 2 and b is an integer?

A. b is even

B. b is greater than 16

Solution

If b = 4, then the answer to the question is no. If b = 32, then the answer is yes. So, using statement A alone, we cannot answer the question.
Using statement B alone, we can conclude that $$a^{44} < b^{11}$$



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