Find the greatest $5$ digit numbers divisible by $14$

99989

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99888

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99988

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10000

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Solution

The correct option is B $99888$
Largest $5$ digit number $= 99999$
$99999 \div 14 =$ Quotient $= 7412$
Remainder $= 11$
So, largest number exactly divisible by $14$ is
$= 99999 - 11 = 99988$

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