Question

In the following question, choose that set of numbers from the alternatives that is similar to the given set: Given set: (1, 8, 27)

• A. (60, 79, 86)
• B. (32, 39, 59)
• C. (5, 12, 32)
• D. (64, 125, 216)

Hint:

When numbers follow a pattern, check for squares, cubes, arithmetic or geometric sequences.

Answer 1

The Correct Option is D

Step 1: Recognize the pattern in the given set.

• \(1 = 1^3\)
• \(8 = 2^3\)
• \(27 = 3^3\)

These are cubes of natural numbers.

Step 2: Check which option follows the same cube pattern.

• Option (4):
  • \(64 = 4^3\)
  • \(125 = 5^3\)
  • \(216 = 6^3\)

  → All are perfect cubes of consecutive natural numbers.

Step 3: Conclusion

Option (4) follows the same cube pattern as the original set.