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Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such that each cell of the matrix has exactly one digit. The odd digits are not in the same column. The sum of the digits in row I is 2 more than that in row II. The difference between any two digits in a row is not more than 5. The sum of the digits in columns I, II and III are consecutive integers in ascending order. What is the difference between the digit in row I, column III and row II, column I?
  • a)
    2
  • b)
    4
  • c)
    3
  • d)
    Data Inconsistent
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such...
The sum of digits in Row I is 2 more than that in Row II.
The difference between any two numbers in a row is not more than 5.
But there are no possible combinations satisfying both the above conditions.
Hence, option 4.
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Most Upvoted Answer
Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such...
Let's analyze the given information step by step:

1. The odd digits are not in the same column.
- This means that in each column, there should be at least one even digit.

2. The sum of the digits in row I is 2 more than that in row II.
- Let's assume the sum of digits in row II is x. Then, the sum of digits in row I will be x + 2.

3. The difference between any two digits in a row is not more than 5.
- This means that the digits in each row should not have a difference of more than 5.
- Let's assume the digits in row II are a, b, and c. Then, the digits in row I can be a+2, b+2, and c+2.

4. The sum of the digits in columns I, II, and III are consecutive integers in ascending order.
- Let's assume the digits in column I are p and q, column II are r and s, and column III are t and u.
- The sum of digits in column I is p + q.
- The sum of digits in column II is r + s.
- The sum of digits in column III is t + u.
- According to the given information, these sums should be consecutive integers in ascending order.
- So, we have three possible cases:
- Case 1: p + q = r + s - 1 and r + s = t + u - 1
- Case 2: p + q = r + s and r + s = t + u - 1
- Case 3: p + q = r + s and r + s = t + u

Now, let's try to solve the question based on the given information.

Case 1: p + q = r + s - 1 and r + s = t + u - 1
- In this case, the smallest possible sum of digits in row II would be 3 + 4 = 7.
- Since the difference between any two digits in a row is not more than 5, the smallest possible sum of digits in row I would be 9.
- However, the digits available are 1, 2, 3, 4, 6, and 8. There is no combination that satisfies these conditions.
- Therefore, this case is not possible.

Case 2: p + q = r + s and r + s = t + u - 1
- In this case, the smallest possible sum of digits in row II would be 3 + 4 = 7.
- Since the difference between any two digits in a row is not more than 5, the smallest possible sum of digits in row I would be 9.
- The only combination that satisfies these conditions is row II: 3, 1, 2 and row I: 5, 6, 8.
- The sum of digits in column I is 5 + 3 = 8.
- The sum of digits in column II is 1 + 6 = 7.
- The sum of digits in column III should be 2 + 8 = 10, which is not consecutive with the sums of the other columns.
- Therefore, this case is not possible.

Case
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Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such that each cell of the matrix has exactly one digit. The odd digits are not in the same column. The sum of the digits in row I is 2 more than that in row II. The difference between any two digits in a row is not more than 5. The sum of the digits in columns I, II and III are consecutive integers in ascending order. What is the difference between the digit in row I, column III and row II, column I?a)2b)4c)3d)Data InconsistentCorrect answer is option 'D'. Can you explain this answer?
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Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such that each cell of the matrix has exactly one digit. The odd digits are not in the same column. The sum of the digits in row I is 2 more than that in row II. The difference between any two digits in a row is not more than 5. The sum of the digits in columns I, II and III are consecutive integers in ascending order. What is the difference between the digit in row I, column III and row II, column I?a)2b)4c)3d)Data InconsistentCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such that each cell of the matrix has exactly one digit. The odd digits are not in the same column. The sum of the digits in row I is 2 more than that in row II. The difference between any two digits in a row is not more than 5. The sum of the digits in columns I, II and III are consecutive integers in ascending order. What is the difference between the digit in row I, column III and row II, column I?a)2b)4c)3d)Data InconsistentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six digits - 3, 4, 6, 2, 8 and 1 - are arranged in a 2 x 3 matrix such that each cell of the matrix has exactly one digit. The odd digits are not in the same column. The sum of the digits in row I is 2 more than that in row II. The difference between any two digits in a row is not more than 5. The sum of the digits in columns I, II and III are consecutive integers in ascending order. What is the difference between the digit in row I, column III and row II, column I?a)2b)4c)3d)Data InconsistentCorrect answer is option 'D'. Can you explain this answer?.
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