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Directions: In the following question, choose the correct alternative from the given ones that will complete the series:
21, 24, 32, 45, 63, ?
  • a)
    84
  • b)
    85
  • c)
    86
  • d)
    87
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions:In the following question, choose the correct alternative f...
Series Analysis:
The given series is: 21, 24, 32, 45, 63, ?
To find the pattern in the series and determine the missing number, we need to analyze the given numbers and identify any relationship or pattern between them.

Pattern:
Let's analyze the given series step by step:

Step 1: The difference between the first and second numbers is 24 - 21 = 3.
Step 2: The difference between the second and third numbers is 32 - 24 = 8.
Step 3: The difference between the third and fourth numbers is 45 - 32 = 13.
Step 4: The difference between the fourth and fifth numbers is 63 - 45 = 18.

From the above analysis, we can see that the differences between consecutive numbers are increasing by 5.

Prediction:
Based on the observed pattern, we can predict that the difference between the fifth and sixth numbers would be 18 + 5 = 23.

Calculation:
To find the missing number, we need to add the predicted difference to the last given number in the series.

The last given number is 63, so the missing number would be 63 + 23 = 86.

Conclusion:
Therefore, the correct answer is option 'C' - 86, as it completes the given series based on the observed pattern.
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Directions:In the following question, choose the correct alternative from the given ones that will complete the series:21, 24, 32, 45, 63, ?a)84b)85c)86d)87Correct answer is option 'C'. Can you explain this answer?
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