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If P and Q Are Co-prime Numbers, Then P2 and Q2 Are - Mathematics

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Question

If p and q are co-prime numbers, then p2 and q2 are

Options

  •  coprime

  • not coprime

  • even

  • odd

MCQ

Solution

We know that the co-prime numbers have no factor in common, or, their HCF is 1.

Thus, `p^2` and  `q^2` have the same factors with twice of the exponents of p and q respectively, which again will not have any common factor.

Thus we can conclude that `p^2` and `q^2` are co-prime numbers.

Hence, the correct choice is (a).

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Chapter 1: Real Numbers - Exercise 1.8 [Page 60]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.8 | Q 15 | Page 60

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