**Slot -2 – Quantitative Aptitude – Algebra – Inequalities – If N and x are positive integers **

**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?**

**Answer:** 10

**Solution:** N^N = (2^5)^32

N^N = 32^32

N=32

32^2 + 2^32 = (2^5)^2 + 2^32

32^2 + 2^32 = 2^10 + 2^32

32^2 + 2^32 = 2^10(1 + 2^22)

Hence, Largest possible value of x is 10.

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