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Question

Select the related word/letters/number from the given alternatives. 27 : 125 : 64 : ?

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

216

To solve the analogy 27 : 125 : 64 : ?, we need to find the pattern or rule that connects the numbers.

Let's examine the relationship between the first set of numbers: 27 and 125.

27 is the cube of 3: 33 = 27.

125 is the cube of 5: 53 = 125.

Next, consider the number 64:

64 is the cube of 4: 43 = 64.

Thus, it follows the pattern of cubes of consecutive integers.

We observe the following sequence:

  • The cube of 3 (33 = 27)
  • The cube of 5 (53 = 125)
  • The cube of 4 (43 = 64)

To maintain consistency in this sequence, the missing number should be the cube of the next integer in the sequence of cubes: 6.

Therefore, 63 = 216.

Hence, the answer is 216.

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