A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question: What is the remainder when x 2n - y 2n + 1 is divided by x n +y n , where n is a natural number? Statement-I: n is odd. Statement-II : n is even. Which one of the following is correct in respect of the above Question and the Statements?

Correct Answer is : The Question can be answered by using either Statement alone

The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone

The Question can be answered by using either Statement alone

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

The Question can be answered even without using any of the Statements

UPSC CDS II 2025 Mathematics Paper

Question : 81 of 100

Marks: +1, -0

A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
What is the remainder when x²ⁿ - y²ⁿ + 1 is divided by xⁿ +yⁿ, where n is a natural number?
Statement-I: n is odd.
Statement-II : n is even.
Which one of the following is correct in respect of the above Question and the Statements?

The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
The Question can be answered by using either Statement alone
The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
The Question can be answered even without using any of the Statements

Validate

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