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In a colony of 100 blocks of flats numbering 1 to 100, a school van stops at every sixth block while a school bus stops at every tenth block. On which stops will both of them stop if they start from the entrance of the colony?

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There are 100 blocks in a colony numbering 1 to 100.

A school van stops at every sixth block and a school bus stops at every tenth block.

We have to find the common stops at which they both stop if they start from a same entrance.

∴  We need to find the LCM of 6 and 10

The LCM of 6 and 10 is 2 × 3 × 5 = 30. Firstly both will stop at 30th block, then  60th block and lastly at 90th block.

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