What should come in the place of the question mark lsquo rsquo in the following question 2197 1 3 17...........

What should come in the place of the question mark ‘?’ in the following question?

(2197)^1/3+ (1728)^1/3 + (3375)^1/3 = 8 × ?

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RRB Clerk Prelims (19 Aug, 2023 Shift 1)

None of these

- To solve the equation, calculate the cube roots of the numbers first.

- \( (2197)^{1/3} = 13 \) because \( 13^3 = 2197 \).

- \( (1728)^{1/3} = 12 \) because \( 12^3 = 1728 \).

- \( (3375)^{1/3} = 15 \) because \( 15^3 = 3375 \).

- Add the cube roots: \( 13 + 12 + 15 = 40 \).

- The equation becomes \( 40 = 8 \times ? \).

- Solve for '?': \( ? = 40 / 8 = 5 \).

- Correct Answer: Option 3 - 5

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