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For integers m and n , both greater than 1, consider the following three statements : P: m divides nQ: m divides n^2R: m is prime, then

Options

  1. AQ R P
  2. BP Q R
  3. CQ R
  4. DQ P

Correct answer

A. Q R P

Step-by-step solution

(b) 8 4 =2, 64 4 =16 ; but 4 is not prime. Hence P Q R , false (c) (6)^2 12 = 36 12 =3 ; but 12 is not prime Hence Q R , false (d) (4)^2 8 = 16 8 =2 ; 4 8 is not an integer Hence Q P , false

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