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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…

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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
  • A7
  • B5
  • C6
  • D4
Answer not set
0
CCommunity
option 1 is the right answer
0
CCommunity
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