Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

10% OFF on all CAT Courses. Discount code: BODHEE10. Valid till 15th March Enroll Now

CAT 2018 [SLOT 2] Quant Question with Solution 13

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

Show Answer
Correct Answer: 10
Given $\mathrm{N}^{\mathrm{N}}=2^{160}=2^{5 \times 32}$
$=\left(2^{5}\right)^{32} \Rightarrow \mathrm{N}^{\mathrm{N}}=32^{32}$
$\Rightarrow \mathrm{N}=32$
$\Rightarrow 2^{10}+2^{32}$
Or $ \mathrm{x}$ is 10

CAT Online Course
Also Check: 841+ CAT Quant Questions with Solutions

CAT 2018 Slot-1

CAT 2018 Slot-2

CAT Quant Questions with Video Solutions

30 must do CAT Quant Questions with Video Solutions
CAT Online Courses

FREE CAT Prep Whatsapp Group