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Question

Find the missing number: $23 : 125 :: 31 : ?$

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
64

The question presents a number analogy: 23 : 125 :: 31 : ?. We need to find the relationship between the first pair of numbers (23 and 125) and apply it to the second number (31) to find the missing number.

Finding the Pattern

  • Consider the first number, 23. The sum of its digits is $2 + 3 = 5$.
  • Now, calculate the cube of this sum: $5^3 = 5 \times 5 \times 5 = 125$. This matches the second number in the first pair.

Applying the Pattern

  • Consider the second pair, starting with the number 31.
  • The sum of its digits is $3 + 1 = 4$.
  • Apply the same operation (cubing the sum of digits): $4^3 = 4 \times 4 \times 4 = 64$.

Conclusion

Therefore, the missing number in the analogy 31 : ? is 64.

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Important Questions from Number Based

  1. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different. (Any operation on digits is not allowed)

  2. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  3. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  4. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

  5. Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.

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