UPSC CDS II 2025 Mathematics Paper

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Question : 12 of 100
 
Marks: +1, -0
The HCF of x and y is H. Consider the following statements in respect of the HCF p=‌
x3+y3
x2−xy+y2
 and q=‌
x3−y3
x2+xy+y2
.
I. The HCF of p and q can be H. 
II. The HCF of p and q can be 2H. 
Which of the statements given above is/are correct?
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