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34 vote

Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is

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Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is
1). 7
2). 5
3). 6
4). 4

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2 answers

20 vote
Answered by on | Votes 20 |
option 1 is the right answer

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26 vote
Answered by on | Votes 26 |
LCM = 2 × 2 × 3 × 4 × 3 × 7 = 1008 Multiple of 1008 = 2016 Required number = 2016 – 2000 = 16 = x Sum of digits of x = 1 + 6 = 7




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