A number when divided by 28 leave remainder of 16 what is the reminder when the same number is divided by 7

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Solution

Let k be the quotient, when the number is divided by 28,
we have dividend=divisor*quotient+remainder
then, Number = $k \times 28 + 16$
The number can also be expressed as $\Rightarrow k \times 4 \times 7 + 14 + 2$
So when it is divided by 7, remainder is $((k \times 4 \times 7)$ %7=0) +(14%7=0) + (2%7=2) i.e. 2

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(ANS given :235)

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A number when divided by 28 leave remainder of 16 what is the reminder when the same number is divided by 7

Let k be the quotient, when the number is divided by 28, we have dividend=divisor*quotient+remainder then, Number = k×28+16 The number can also be expressed as ⇒k×4×7+14+2 So when it is divided by 7, remainder is ((k×4×7) %7=0) +(14%7=0) + (2%7=2) i.e. 2