Multiple Choice Questions

What is value of a3 b3 c3 if a b c 0 ........

Quantitative Aptitude (CGL) Algebra

What is value of a³+b³+c³ if (a+b+c) = 0?

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Combined Graduate level Examination 2023 Tier I

a²b²+c²- 3abc

3abc

a²b²+c²- ab - bc - ca

- Given: $a + b + c = 0$ .

- Use identity: $a^{3} + b^{3} + c^{3} = 3 a b c$ when $a + b + c = 0$ .

- Option 1: $a^{2} b^{2} + c^{2} - 3 a b c$ - Not direct by identity.

- Option 2: 0 - Incorrect, does not fit the identity.

- Option 3: 3abc - Correct by identity.

- Option 4: $a^{2} b^{2} + c^{2} - a b - b c - c a$ - Not derived from given condition.

Correct Answer: Option 3: 3abc

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