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Taking All the Combinations of 3 Digit Numbers and Adding Them

A six digit n...

Question

A six digit number of the form abcabc is always divisible by

A

10

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B

12

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C

13

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D

17

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Solution

The correct option is C 13
Let the number in abcabc for is $123123$
Now $123123 \div 10 = 12312.3$ Not divisible
$123123 \div 12 = 10260.25$ Not divisible
$123123 \div 13 = 9471$ divisible
$123123 \div 17 = 7242.52$ Not divisible

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