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Year

CAT 2022

Section

Quantitative

Topic

Number System

Difficulty

Hard

Question

Slot-1

Let AA be the largest positive integer that divides all the numbers of the form 3k+4k+5k3^k+4^k+5^k , and BB be the largest positive integer that divides all the numbers of the form 4k+3(4k)+4k+24^k+3\left(4^k\right)+4^{k+2} , where kk is any positive integer. Then (A+B)(A+B) equals

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