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HomeCAT PYQsCAT 2022 Slot 1 Question PaperLet A be the largest positive integer that divides all…
CAT 2022 · Slot 1Quantitative AbilityNumber SystemsHARD+3 / −1TITA

Let A be the largest positive integer that divides all the numbers of the form 3k+4k+5k3^k + 4^k + 5^k3k+4k+5k, and B be the largest positive integer that divides all the numbers of the form 4k+3(4k)+4k+24^k + 3(4^k) + 4^{k + 2}4k+3(4k)+4k+2 , where k is any positive integer. Then (A + B) equals

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