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The numbers that divide evenly by 7 and less than 75 are

7, 14, 21, 28, 35, 42, 49, 56, 63, and 70

Of the above numbers 56 when divided by 11 gives a quotient of 5 and a remainder of 1

Hence the number is 56

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Q: What is the number less than 75 that divides exactly by 7 but leaves remainder 1 when divided by 11?
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