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What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?
1) n = (k+1)3
2) k = 5 
  • a)
    Exactly one of the statements can answer the question
  • b)
    Both statements are required to answer the question
  • c)
    Each statement can answer the question individually
  • d)
    More information is required as the information provided is insufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the remainder when the positive integer n is divided by the po...
  • (1) n=(k+1)3
  • =k3+3k2+3k+1
  • =k(k2+3k+3)+1
  • --> first term, k(k2+3k+3) is obviously divisible by k and 1 divide by k yields the remainder of 1 (as k>1). Sufficient.
  • (2) k=5. Know nothing about n, hence insufficient.
  • Hence exactly one of the statements in the question is correct.
     
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What is the remainder when the positive integer n is divided by the po...
It is not possible to determine the remainder when n is divided by k without knowing the values of n and k.
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What is the remainder when the positive integer n is divided by the po...
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What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?1) n = (k+1)32) k = 5a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?1) n = (k+1)32) k = 5a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?1) n = (k+1)32) k = 5a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
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