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Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.
4, 5, 13, 40, 105, 229, 445
- a)105
- b)13
- c)40
- d)445
- e)229
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: A number series is given below, in which only one number i...
The pattern is:
4 + 13 = 5
5 + 23 = 13
13 + 33 = 40
40 + 43 = 104 ≠ 105
104 + 53 = 229
229 + 63 = 445
4 + 13 = 5
5 + 23 = 13
13 + 33 = 40
40 + 43 = 104 ≠ 105
104 + 53 = 229
229 + 63 = 445
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Community Answer
Directions: A number series is given below, in which only one number i...
Number Series Analysis:
The given number series is 4, 5, 13, 40, 105, 229, 445. We are required to find the wrong number in the series. Let's analyze the pattern in the series to identify the incorrect number.
Pattern Analysis:
To find the pattern in the given series, we can look for the differences between consecutive numbers.
- The difference between 5 and 4 is 1.
- The difference between 13 and 5 is 8.
- The difference between 40 and 13 is 27.
- The difference between 105 and 40 is 65.
- The difference between 229 and 105 is 124.
- The difference between 445 and 229 is 216.
Pattern Observation:
By observing the differences, we can see that the differences are increasing by consecutive odd numbers: 1, 3, 5, 7, 9, and so on.
Applying the Pattern:
Using this pattern, let's calculate the next number in the series:
- The difference between 445 and 229 is 216.
- The next odd number in the sequence is 11.
- Adding 11 to 445, we get 456.
Therefore, the next number in the series should be 456. However, the given series has the number 445 instead. Hence, 445 is the wrong number in the series.
Conclusion:
The wrong number in the given series is 445, which is option A.
The given number series is 4, 5, 13, 40, 105, 229, 445. We are required to find the wrong number in the series. Let's analyze the pattern in the series to identify the incorrect number.
Pattern Analysis:
To find the pattern in the given series, we can look for the differences between consecutive numbers.
- The difference between 5 and 4 is 1.
- The difference between 13 and 5 is 8.
- The difference between 40 and 13 is 27.
- The difference between 105 and 40 is 65.
- The difference between 229 and 105 is 124.
- The difference between 445 and 229 is 216.
Pattern Observation:
By observing the differences, we can see that the differences are increasing by consecutive odd numbers: 1, 3, 5, 7, 9, and so on.
Applying the Pattern:
Using this pattern, let's calculate the next number in the series:
- The difference between 445 and 229 is 216.
- The next odd number in the sequence is 11.
- Adding 11 to 445, we get 456.
Therefore, the next number in the series should be 456. However, the given series has the number 445 instead. Hence, 445 is the wrong number in the series.
Conclusion:
The wrong number in the given series is 445, which is option A.
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Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer?
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Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. 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 Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: A number series is given below, in which only one number is wrong. Find out the wrong number.4, 5, 13, 40, 105, 229, 445a)105b)13c)40d)445e)229Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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