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When positive integer n is divided by 3, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 21?
  • a)
    1
  • b)
    2
  • c)
    5
  • d)
    19
  • e)
    20
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
When positive integer n is divided by 3, the remainder is 1. When n is...
Given number is of the form 3x + 1 and 7y + 5
=> 3x + 1 = 7y + 5
=> x = (7y + 4)/3
The lowest integer values which satisfies this are y = 2 and x = 6
and number = 7y + 5 = 19
Therefore lowest value to be added to 19 make it divisible by 21 is 2
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When positive integer n is divided by 3, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 21?a)1b)2c)5d)19e)20Correct answer is option 'B'. Can you explain this answer?
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