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Find the wrong number in the following series:(A) (B) (C) (D)
Full solution
Q. Find the wrong number in the following series:(A) (B) (C) (D)
- Analyze the pattern: Analyze the pattern in the series.The series is . At first glance, there is no clear arithmetic or geometric progression. We need to look for another pattern or relationship between the numbers.
- Examine differences or ratios: Look for a pattern by examining the differences or ratios between consecutive terms.The differences between the terms are as follows: , , , , , . The differences do not form a clear pattern.The ratios between the terms are as follows: , , , , , . The ratios also do not form a clear pattern.
- Look for digit operations: Look for a pattern involving operations on the digits of each number or their positions in the series.Upon closer inspection, we can try to see if there's a multiplication pattern that involves adding or subtracting a certain value to get the next term.Let's check if each number (after the first) can be obtained by multiplying the previous number by a certain factor and then adding or subtracting a number that follows a pattern. ( multiplied by ) ( multiplied by and then add ) ( multiplied by ) ( multiplied by and then add ) ( multiplied by )It seems like the pattern involves multiplying by an increasing number () and then adding the same number (), but the last multiplication does not fit the pattern.
- Verify pattern consistency: Verify the pattern found in Step for all terms and identify the term that does not fit.Following the pattern, we should check if is obtained correctly from ., not . Therefore, is the term that does not fit the pattern we have identified.
- Confirm incorrect number: Confirm that the identified wrong number is indeed incorrect by checking the next term in the series.If , then the next term should be . This matches the last term in the series, confirming that is the incorrect number.
