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← GATE CSE 2016 Set 1

Q1

NAT1 mark

Let p,q,r,sp, q, r, s represents the following propositions. p:x∈{8,9,10,11,12}p:x\in\left\{8, 9, 10, 11, 12\right\} q:q: xx is a composite number. r:r: xx is a perfect square. s:s: xx is a prime number. The integer x≥2x\geq2 which satisfies ¬((p⇒q)∧(¬r∨¬s))\neg\left(\left(p\Rightarrow q\right) \wedge \left(\neg r \vee \neg s\right)\right) is ____________.

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