# A number when divided by 36 leaves a remainder of 23. Which of the following could be a remainder when it is divided by 72? Option 1) Option 2) Option 3) Option 4) Option 5)

$Number= 36a+23$

$\frac{Number}{72}= \frac{36a+23}{72}$

$For \: a=0 \: \: \: \: remainder=23$

$For \: a=1 \: \: \: \: remainder=59$

$For \: a=2\: \: \: \: remainder=23$

$For \: a=3\: \: \: \: remainder=59$

Remainder may be either 23 or 59

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