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What is the smallest number, which when increased by 5 is completely divisible by 8, 11 and 24?

  1. 264 
  2. 259
  3. 269 
  4. None of these
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1 Answer

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The trick is to find  LCM of the given 3 numbers first as the phrase "divisible by" is used instead of "divides" . 

Thus LCM(8,11,24)   =   264

But the question says about the number which on adding 5 leads to the LCM.

Hence   ;    x + 5   =   264

           ==>  x       =   259

Hence B) should be the correct answer.

by (1.5k points) 1 3 12

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