Question

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?

Answer 1

Solution :-

Number of blocks of flats in the colony numbered from 1 to 100.

The school van stops at every 6th block and the school bus stops at every 10th block. 

The block numbers at which the school van stops = 6, 12, 18, 24, 30, 36, 42, 48, 54. 60, 66. 72, 78, 84, 90, 96

The block number at which the school bus stops = 10, 20, 30, 40, 50. 60, 70, 80, 90, 100

Common block numbers = 30, 60 and 90

Hence, they both of them will stop at 30th block, 60th block and 90th block together if they start from the entrance of the colony.

Answer.