If N and x are positive integers such that N^N = 2^160 and N^2 + 2^N is an integral multiple of 2^x, then the largest possible x is (TITA)

CAT 2018 Slot 2 QA Q7 Number Systems

Question 7 of the Quantitative Ability (QA) section, CAT 2018 Slot 2, with CAT's official answer.

If N and x are positive integers such that N^N = 2¹⁶⁰ and N² + 2^N is an integral multiple of 2^x, then the largest possible x is (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 10 Number Systems TITA

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