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When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?
i) x = 9 and y = 3
ii) x = 16 and y = 2
iii) x = 13 and y = 7
  • a)
    i only
  • b)
    i and ii only
  • c)
    i and iii only
  • d)
    ii and iii only
  • e)
    i,ii and iii
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
When positive integer N is divided by 18, the remainder is x. When N i...
Given a positive integer N, it can be expressed as the sum of two different equations:
N = 18k + x N = 6q + y
Consequently, we can conclude that:
18k + x = 6q + y
or, equivalently:
x = 6(q - 3k) + y
This implies that x is a multiple of 6 added to y.
Let's now verify the given statements:
i) For x = 9 and y = 3, the equation holds true: 9 = 6(1) + 3.
ii) For x = 16 and y = 2, the equation does not hold true: 16 = 6(2) + 4, but the given value of y is not equal to 4.
iii) For x = 13 and y = 7, the equation does not hold true: 13 = 6(2) + 1, but the given value of y is not equal to 1.
Therefore, only statement i) is true.
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When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?i) x = 9 and y = 3ii) x = 16 and y = 2iii) x = 13 and y = 7a)i onlyb)i and ii onlyc)i and iii onlyd)ii and iii onlye)i,ii and iiiCorrect answer is option 'A'. Can you explain this answer?
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When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?i) x = 9 and y = 3ii) x = 16 and y = 2iii) x = 13 and y = 7a)i onlyb)i and ii onlyc)i and iii onlyd)ii and iii onlye)i,ii and iiiCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?i) x = 9 and y = 3ii) x = 16 and y = 2iii) x = 13 and y = 7a)i onlyb)i and ii onlyc)i and iii onlyd)ii and iii onlye)i,ii and iiiCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?i) x = 9 and y = 3ii) x = 16 and y = 2iii) x = 13 and y = 7a)i onlyb)i and ii onlyc)i and iii onlyd)ii and iii onlye)i,ii and iiiCorrect answer is option 'A'. Can you explain this answer?.
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