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  • For integers m and n, both greater than 1 , consider the following three statement : P: m divides n Q: m divides n2 R: m is prime, <sup

For integers m and n, both greater than 1 , consider the following three statement :

P: m divides n

Q: m divides n2

R: m is prime,

then

Option: 1

Q\wedge R\rightarrow P


Option: 2

P\wedge Q\rightarrow R


Option: 3

Q\rightarrow R


Option: 4

Q\rightarrow P


Answers (1)

best_answer

Given,

P: m divides n

Q: m divides n2

R: m is prime,

Consider Option (B)

\\\frac{8}{4}=2, \frac{64}{4}=16 ;\; but\; 4 \;is \;not\; prime.\;\\ \;Hence\; P \wedge Q \rightarrow R, \;false

Consider Option (C)

\\\frac{(6)^{2}}{12}=\frac{36}{12}=3 ;\; but \;12 \;is\; not\; prime. \;\\Hence \;Q \rightarrow R,\; false

Consider Option (D)

\\\frac{(4)^{2}}{8}=\frac{16}{8}=2 ; \frac{4}{8} \;is\; not \;an\; integer \\Hence \;Q \rightarrow P,\; false

Posted by

jitender.kumar

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