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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 -
1, 1, 4, 8, 9, 27, 16, ?
  • a)
    32
  • b)
    64
  • c)
    81
  • d)
    256
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The series consists of squares and cubes of consecutive natural numbers i.e. 12, 13, 22, 23, 32, 33, 42, .....
So, missing term = 43 = 64.
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Most Upvoted Answer
Directions to Solve ...
Pattern Analysis:

To solve this question, we need to identify the pattern in the given series and find the missing number. Let's analyze the series step by step:

Step 1: The series starts with 1.

Step 2: The next number is also 1.

Step 3: The third number is 4, which is the square of the second number.

Step 4: The fourth number is 8, which is the double of the third number.

Step 5: The fifth number is 9, which is the square of the second number.

Step 6: The sixth number is 27, which is the cube of the third number.

Step 7: The seventh number is 16, which is the square of the fourth number.

Pattern Identification:

From the analysis, we can observe the following pattern:

- The series alternates between the square and cube of a certain number.

- The first number is 1, and the second number is also 1.

- The third number is the square of the second number (1^2 = 1).

- The fourth number is the double of the third number (4 × 2 = 8).

- The fifth number is the square of the second number (1^2 = 1).

- The sixth number is the cube of the third number (4^3 = 64).

- The seventh number is the square of the fourth number (8^2 = 64).

Pattern Extension:

Based on the identified pattern, we can extend it to find the missing number:

- The eighth number should be the cube of the third number (4^3 = 64).

- Therefore, the missing number is 64.

Conclusion:

The missing number in the given series 1, 1, 4, 8, 9, 27, 16, ? is 64. This can be determined by observing the pattern in the series, which alternates between the square and cube of certain numbers.
Free Test
Community Answer
Directions to Solve ...
1²,1³,2²,2³,3²,3³,4²,4³....
hence the answer is 4³ = 64
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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 - 1, 1, 4, 8, 9, 27, 16, ?a)32b)64c)81d)256Correct answer is option 'B'. Can you explain this answer?
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