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1. Find the largest number of 5-digits which, when divided by 16, 24, 30 or 36, leaves the same remainder 10 each case. 

  • A. 99370
  • B. 99370
  • C. 99370
  • D. 99370

Answer: Option A

Explanation:

LCM of 16, 24, 30, 36 is 720

Highest 5 digit number 99999

Now, 99999÷720= 138 and remainder is 639

99999-639=99360

So, Highest 5 digit number that can be divided by 16, 24, 30, 36 without any remainder is 99360

As to leave 10 as remainder the 5 digit number should be, 99360+10=99370


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