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Which option gives the complete list of possible forms of a number when divided by 7?

Answer and explanation

Correct answer: (7q,7q+1,\ldots,7q+6)

Step 1: On division by 7, remainders can be from 0 to 6. Step 2: So the forms are from (7q) to (7q+6). Step 3: Include remainder 0 and do not include remainder 7 in the complete list.

Related tags

Euclids-Division-LemmaAll-FormsRemainder-ListEuclid’s Division LemmaEuclid S Division LemmaReal NumbersMathematicsClass 10 Mcq

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