Item contains a Question followed by two Statements. Answer each item using the following instructions : Question: Is p 2 + q 2 + q odd, where p, q are positive integers ? Statement I: 2p + q is odd. Statement II: q - 2p is odd.

Correct Answer is : Choose this option if the Question cannot be answered even by using both Statements together.

Choose this option if the Question can be answered by one of the Statements alone but not by the other.

Choose this option if the Question can be answered by either Statement alone.

Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.

Choose this option if the Question cannot be answered even by using both Statements together.

UPSC CDS 1 2023 Math Paper

Question : 76 of 100

Marks: +1, -0

Item contains a Question followed by two Statements. Answer each item using the following instructions :
Question: Is p² + q² + q odd, where p, q are positive integers ?
Statement I: 2p + q is odd.
Statement II: q - 2p is odd.

Choose this option if the Question can be answered by one of the Statements alone but not by the other.
Choose this option if the Question can be answered by either Statement alone.
Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
Choose this option if the Question cannot be answered even by using both Statements together.

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