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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is...

Let ⊕and⊕ and⊗aretwomathematicaloperators.Ifare two mathematical operators. Ifp ⊕ \left(q ⊗ r\right)is equivalent to \left( \left(p ∧ q\right)⇒ r\right),then, then⊕andand⊗$$Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗

Options

  1. Acan be ∨∨ and ∧∧ respectively
  2. Bcan be ∧∧ and ∨∨ respectively
  3. Ccan both be ⇒⇒
  4. Dcan be ⇒⇒ and ⇔⇔ respectively

Correct answer

C. can both be ⇒⇒

Step-by-step solution

(p∧q)\left(p ∧ q\right)⇒ r<imgsrc="/api/proxy−image?url=https<img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fnta_abhyas%252Fjee_main%252Fimages%252F2c59f038-22b7-42fe-82c6-64c603839511.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F2c59f038-22b7-42fe-82c6-64c603839511.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F2c59f038-22b7-42fe-82c6-64c603839511.png?alt=media" style="width:1.24028in;height:0.83333in" /><br />\left(A\right)p ∨ ( q ∧ r ) Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗ (A)\left(A\right) is incorrect option
\left(B\right)p∧(q∨r)p ∧ \left(q ∨ r\right) Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗ (B)\left(B\right) is incorrect option
\left(C\right)p⇒(q⇒r)p ⇒ \left(q ⇒ r\right) Let ⊕ and ⊗ are two mathematical operators. If p ⊕ (q ⊗ r) is equivalent to ( (p ∧ q) ⇒ r) , then ⊕ and ⊗ (C)\left(C\right) is correct option
(D) p⇒(q⇔r)<imgsrc="/api/proxy−image?url=httpsp ⇒ \left(q ⇔ r\right) <img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fnta_abhyas%252Fjee_main%252Fimages%252F9eb22fdd-24fe-44bc-9bbe-b376c642c96a.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F9eb22fdd-24fe-44bc-9bbe-b376c642c96a.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F9eb22fdd-24fe-44bc-9bbe-b376c642c96a.png?alt=media" style="width:1.24028in;height:0.83333in" /> \left(D\right) is incorrect option
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