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What's the remainder when (101 * 102 + 102 * 103) is divided by (97 * 98 + 98 * 99)?

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Remainder is 1600
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If the sum of two numbers & their LCM is 79.Then how many possible set of numbers can satisfy above equation.
Hi Sathya - there are a set of solutions - Let the numbers be A and B and their LCM be L and HCF be H. Thus, A and B are multiples of H. Let A = H*p; B = H*q. Thus, L = H*p*q; where p and q are co-prime. Hence,...
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