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DIRECTIONS for the question: What should come in place of question mark (?) in the following number/alphabetic series?
7, 21, 64, 194, ?
  • a)
    581
  • b)
    585
  • c)
    556
  • d)
    563
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:What should come in place of question mark ...
►Here the series follows as 7 × 3 + 0, 21 × 3 + 1, 64 × 3 + 2, 194 × 3 + 3 and so on.
►So the term will be 194 × 3 + 3 = 585
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DIRECTIONSfor the question:What should come in place of question mark ...
Series Analysis:
The given series consists of a combination of numbers and alphabets. Let's analyze the pattern in the series to determine the missing number.

Pattern Analysis:
- The first number in the series is 7.
- The second number is obtained by multiplying the previous number by 3 and subtracting 2: 7 * 3 - 2 = 21.
- The third number is obtained by multiplying the previous number by 3 and subtracting 2: 21 * 3 - 2 = 64.
- The fourth number is obtained by multiplying the previous number by 3 and subtracting 2: 64 * 3 - 2 = 194.

Pattern Identification:
From the pattern analysis, it can be observed that each number in the series is obtained by multiplying the previous number by 3 and subtracting 2.

Calculating the missing number:
To find the missing number, we can apply the same pattern to the last number in the series.

- The fifth number can be obtained by multiplying the previous number by 3 and subtracting 2: 194 * 3 - 2 = 582.
- However, none of the given options match 582.

Alternative Approach:
Since none of the given options match the calculated value of 582, we can try to analyze the pattern again to see if there is any other relationship.

Pattern Re-analysis:
On closer inspection, we can observe that each number in the series is a power of 3, with an additional number at the end.

- 7 = 3^1 + 4
- 21 = 3^2 + 12
- 64 = 3^3 + 28
- 194 = 3^4 + 58

Calculating the missing number (Alternative Approach):
Applying the same pattern to the last number in the series:

- The fifth number can be obtained by raising 3 to the power of 5 and adding 118: 3^5 + 118 = 243 + 118 = 361.
- None of the given options match 361.

Final Analysis:
Based on both approaches, none of the given options match the pattern observed in the series. Therefore, the correct answer cannot be determined from the given options.
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DIRECTIONSfor the question:What should come in place of question mark (?) in the following number/alphabetic series?7, 21, 64, 194, ?a)581b)585c)556d)563Correct answer is option 'B'. Can you explain this answer?
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