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When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?
- a)8
- b)9
- c)10
- d)11
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
When 20 is divided by the positive integer k, the remainder is k &ndas...
- Dividend=Divisor x Quotient + Remainder
- 20 = k x q+k-2......k x q+k
- =20+2=22
- k(q+1)=22=2 x 11=1 x 22
- Possible values of k are 2 and 11 or 22.
- Hence, we have the option as 11 hence option D is correct.
Most Upvoted Answer
When 20 is divided by the positive integer k, the remainder is k &ndas...
Try dividing 20 by all the options, get remainders or K-2 for all the options and find suitable value for k by subtracting 2 from the K or divisor every time.
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When 20 is divided by the positive integer k, the remainder is k &ndas...
To find the value of k, we can use the concept of the remainder theorem. According to the theorem, when a positive integer a is divided by a positive integer b, the remainder is always less than b.
In this case, we are given that when 20 is divided by k, the remainder is k. However, the remainder k cannot be greater than k itself. Therefore, we can conclude that k must be less than or equal to 20.
To determine the exact value of k, we need to find a positive integer that satisfies the given condition. Let's consider some possibilities:
If k = 1, then the remainder when 20 is divided by 1 is 0, not k. So, k = 1 is not the correct value.
If k = 2, then the remainder when 20 is divided by 2 is 0, not k. So, k = 2 is not the correct value.
If k = 3, then the remainder when 20 is divided by 3 is 2, which is equal to k. Therefore, k = 3 is the correct value.
Hence, when 20 is divided by the positive integer k, the remainder is k if k = 3.
In this case, we are given that when 20 is divided by k, the remainder is k. However, the remainder k cannot be greater than k itself. Therefore, we can conclude that k must be less than or equal to 20.
To determine the exact value of k, we need to find a positive integer that satisfies the given condition. Let's consider some possibilities:
If k = 1, then the remainder when 20 is divided by 1 is 0, not k. So, k = 1 is not the correct value.
If k = 2, then the remainder when 20 is divided by 2 is 0, not k. So, k = 2 is not the correct value.
If k = 3, then the remainder when 20 is divided by 3 is 2, which is equal to k. Therefore, k = 3 is the correct value.
Hence, when 20 is divided by the positive integer k, the remainder is k if k = 3.
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When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. 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 When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer?.
When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. 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 When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k?a)8b)9c)10d)11Correct answer is option 'D'. Can you explain this answer?.
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