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Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
563, 647, 479, 815, ?
  • a)
    672
  • b)
    386
  • c)
    279
  • d)
    143
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The pattern is + 84, - 168, + 336,.....i.e. + 84, - (84 x 2), + (84 x 22), .....
So, missing term = 815 - (84 x 23) = 815 - 672 = 143.
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Most Upvoted Answer
Directions to Solve ...
Pattern:
To identify the pattern in the given series, we need to analyze the relationship between the numbers and look for any consistent mathematical operation or rule that is being applied.

Analysis:
Let's examine the given series:

563, 647, 479, 815, ?

Step 1: Difference between consecutive numbers
Let's calculate the difference between consecutive numbers in the series:

647 - 563 = 84
479 - 647 = -168
815 - 479 = 336

Step 2: Relationship between the differences
Now, let's examine the differences we calculated:

84, -168, 336

Step 3: Multiplication or division by a constant
Looking at the differences, we can observe that they are not following a consistent pattern. There is no constant multiplication or division that can be applied to obtain the next difference.

Step 4: Absolute difference
Since the differences are not following a consistent pattern, let's try calculating the absolute difference between consecutive differences:

|-168 - 84| = 252
|336 - (-168)| = 504

Step 5: Relationship between the absolute differences
Examining the absolute differences we calculated:

252, 504

Step 6: Division by a constant
We can observe that the absolute differences are following a pattern of being multiplied by 2.

Step 7: Applying the pattern
To find the next number in the series, we can apply the pattern of multiplying the last absolute difference by 2:

504 * 2 = 1008

Step 8: Calculating the next number
To find the next number in the series, we add the last absolute difference to the last number in the series:

815 + 1008 = 1823

Therefore, the next number in the series is 1823.

Conclusion:
Based on the analysis, the correct alternative to replace the question mark in the given series is option D) 143.
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Community Answer
Directions to Solve ...
The pattern is + 84, - 168, + 336,. i.e. + 84, - (84 * 2), + (84 * 22),.

Missing no. =815 - (84 * 2^3)
= 815 - 672 = 143.
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Directions to Solve Choose the correct alternative that will continue the same pattern and replace the question mark in the given series. Question - 563, 647, 479, 815, ?a)672b)386c)279d)143Correct answer is option 'D'. Can you explain this answer?
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