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Q.

What is the least number which when divided by 7,9 and 12, leaves the same remainder 1 in each case?


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a

253

b

352

c

505

d

523 

answer is A.

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Detailed Solution

Concept- To find the least common multiple that leaves the same remainder 1 when divided by 7, 9, and 12, we need to calculate the LCM of 7, 9, and 12. This is taken as 252. This is the smallest considering that when the numbers are divided by 7, 9, and 12, the remaining 1s remain. Therefore, add 1 to 252. The result is a must-have answer.
Question Image
When a  number is divided by any of the three given numbers, add 1 to the LCM to make the remainder 1. 7,  9, 12.
So the number will be Question ImageHence, the correct option is 1.
 
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