Select the option that is related to the fourth term in the same way as the first term is related to...........

General Intelligence and Reasoning (CHSL) Analogy

Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth

term is related to the sixth term

8 : 512 :: ? : 1728 :: 18 : 5832

This questions was previously asked in

SSC CHSL 27th May 2022 Shift-1

- The problem presents a pattern involving cube relationships.

- 8 is related to 512: 8 is \(2^3\) and 512 is \(8^3\).

- Relationship: \(\text{second number} = (\text{first number})^3\).

- We need to find a number related to 1728 similarly.

- 1728 is \(12^3\), so the missing number must be 12.

- 18 is related to 5832: 18 is \(2 \times 3^2\) and 5832 is \(18^3\).

- Consistency in pattern confirms our choice.

- Option 1 (8) does not satisfy as 8³ is 512, not 1728.

- Option 2 (14) also does not satisfy as 14³ is not 1728.

- Option 3 (12) satisfies because 12³ is 1728.

- Option 4 (9) does not satisfy as 9³ is 729, not 1728.

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