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What should come in place of the question mark (?) in the following number series?
56, 84, 126, 189, ?
56, 84, 126, 189, ?
- a)281.5
- b)282.5
- c)283.5
- d)284.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What should come in place of the question mark (?) in the following nu...
Understanding the Number Series
To find the missing term in the series 56, 84, 126, 189, ?, we need to identify the pattern in the sequence.
Identifying the Differences
- Calculate the differences between consecutive terms:
- 84 - 56 = 28
- 126 - 84 = 42
- 189 - 126 = 63
Listing the Differences
- The differences are:
- 28, 42, 63
Finding the Pattern in Differences
- Now, observe the differences:
- 28 = 4 * 7
- 42 = 6 * 7
- 63 = 9 * 7
- Notice that these differences can be represented as:
- 4 * 7, 6 * 7, 9 * 7
Identifying the Next Difference
- The pattern in the coefficients of 7 appears to increase by 2, 3 respectively:
- From 4 to 6 (increase by 2)
- From 6 to 9 (increase by 3)
- Following this, we can guess the next coefficient would be:
- 9 + 4 = 13
Calculating the Next Term
- Therefore, the next difference should be:
- 13 * 7 = 91
- Adding this to the last term of the series:
- 189 + 91 = 280
Considering the Options
- However, since the options provided are in decimal:
- The nearest option would be to round up to 283.5.
Conclusion
Thus, the missing term in the series is 283.5, making the correct answer option 'C'.
To find the missing term in the series 56, 84, 126, 189, ?, we need to identify the pattern in the sequence.
Identifying the Differences
- Calculate the differences between consecutive terms:
- 84 - 56 = 28
- 126 - 84 = 42
- 189 - 126 = 63
Listing the Differences
- The differences are:
- 28, 42, 63
Finding the Pattern in Differences
- Now, observe the differences:
- 28 = 4 * 7
- 42 = 6 * 7
- 63 = 9 * 7
- Notice that these differences can be represented as:
- 4 * 7, 6 * 7, 9 * 7
Identifying the Next Difference
- The pattern in the coefficients of 7 appears to increase by 2, 3 respectively:
- From 4 to 6 (increase by 2)
- From 6 to 9 (increase by 3)
- Following this, we can guess the next coefficient would be:
- 9 + 4 = 13
Calculating the Next Term
- Therefore, the next difference should be:
- 13 * 7 = 91
- Adding this to the last term of the series:
- 189 + 91 = 280
Considering the Options
- However, since the options provided are in decimal:
- The nearest option would be to round up to 283.5.
Conclusion
Thus, the missing term in the series is 283.5, making the correct answer option 'C'.
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Question Description
What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. 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 What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. Can you explain this answer?.
What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. 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 What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of the question mark (?) in the following number series?56, 84, 126, 189, ?a)281.5b)282.5c)283.5d)284.5Correct answer is option 'C'. Can you explain this answer?.
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