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What will come in the place of question mark in the following number series?
233, 232, 224, 197, 133, ?
233, 232, 224, 197, 133, ?
- a)8
- b)12
- c)13
- d)33
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What will come in the place of question mark in the following number s...
Number series:
To find the missing number in the given series, we need to identify the pattern or rule followed by the numbers.
Observations:
- The series starts with 233 and each subsequent number is decreasing.
- The difference between each number is not constant.
- The difference between the first two numbers is 233 - 232 = 1.
- The difference between the second and third numbers is 232 - 224 = 8.
- The difference between the third and fourth numbers is 224 - 197 = 27.
- The difference between the fourth and fifth numbers is 197 - 133 = 64.
Pattern:
By observing the differences between the numbers, we can see that the differences are increasing in a pattern. The differences are the cubes of consecutive numbers: 1^3, 2^3, 3^3, 4^3, and so on.
Calculating the missing difference:
To find the missing difference, we can calculate the cube of the next consecutive number.
The last difference given is 64. The next consecutive number is 5. So, the missing difference is 5^3 = 125.
Calculating the missing number:
To find the missing number, we need to subtract the missing difference from the last number in the series.
133 - 125 = 8
Therefore, the missing number in the series is 8.
Conclusion:
The missing number in the given number series 233, 232, 224, 197, 133, ? is 8.
To find the missing number in the given series, we need to identify the pattern or rule followed by the numbers.
Observations:
- The series starts with 233 and each subsequent number is decreasing.
- The difference between each number is not constant.
- The difference between the first two numbers is 233 - 232 = 1.
- The difference between the second and third numbers is 232 - 224 = 8.
- The difference between the third and fourth numbers is 224 - 197 = 27.
- The difference between the fourth and fifth numbers is 197 - 133 = 64.
Pattern:
By observing the differences between the numbers, we can see that the differences are increasing in a pattern. The differences are the cubes of consecutive numbers: 1^3, 2^3, 3^3, 4^3, and so on.
Calculating the missing difference:
To find the missing difference, we can calculate the cube of the next consecutive number.
The last difference given is 64. The next consecutive number is 5. So, the missing difference is 5^3 = 125.
Calculating the missing number:
To find the missing number, we need to subtract the missing difference from the last number in the series.
133 - 125 = 8
Therefore, the missing number in the series is 8.
Conclusion:
The missing number in the given number series 233, 232, 224, 197, 133, ? is 8.
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What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct 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 What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct 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 What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct answer is option 'A'. Can you explain this answer?.
What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct 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 What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct 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 What will come in the place of question mark in the following number series?233, 232, 224, 197, 133, ?a)8b)12c)13d)33Correct answer is option 'A'. Can you explain this answer?.
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