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What is the least number which when divided by 12, 21 and 35 leaves the same remainder 2?
1. 212
2. 844
3. 632
4. 422

1 Answer

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Best answer
Correct Answer - Option 4 : 422

Given

Numbers = 12,21 and 35 

Remainder = 2

Concept used

We will find the LCM to get a number that is divisible by these numbers and then add the remainder to the LCM.

Calculation

LCM of number 12, 21 and 35 = 420

⇒ Remainder = 2

Number = 420 + 2 = 422

∴ The least number which when divided by 12, 21 and 35 leaves the same remainder 2 is 422

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