Numerical: algebraic identities MCQ — 1 Practice Questions with Answers

Numerical: algebraic identities is a Reasoning & Mental Ability topic in the RAS/RPSC syllabus. This page gathers exam-style Numerical: algebraic identities multiple-choice questions with correct answers and explanations, so aspirants can test recall and revise frequently examined concepts.

Practice 1 Numerical: algebraic identities multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.

1 Questions Reasoning & Mental Ability

Reviewed by: Aspirant Academy Editorial Team

Q1. If x/y + y/x = 1, then x^3 + y^3 = ?

A 0 Correct

B 1

C -1

D -xy

Explanation

Since x/y + y/x = 1, with x and y non-zero, multiplying by xy gives x^2 + y^2 = xy. Rearranging gives x^2 - xy + y^2 = 0. Now use the identity x^3 + y^3 = (x + y)(x^2 - xy + y^2). The second factor is zero, so the whole expression is 0. The values 1 and -1 are not obtained from this identity, and -xy is not equal to x^3 + y^3 under the given condition.

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Numerical: algebraic identities falls under the Reasoning & Mental Ability section of the RAS/RPSC syllabus. It is a frequently tested area and regular practice with these MCQs will strengthen your preparation.

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