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
⊕ a n d ⊕ and ⊕ an d ⊗
a r e t w o m a t h e m a t i c a l o p e r a t o r s . I f are two mathematical operators. If a re tw o ma t h e ma t i c a l o p er a t ors . I f p ⊕ \left(q ⊗ r\right)
is equivalent to \left( \left(p ∧ q\right) ⇒ r\right)
, t h e n , then , t h e n ⊕
a n d and an d ⊗$$
Options A can be ∨ ∨ ∨ and ∧ ∧ ∧ respectively B can be ∧ ∧ ∧ and ∨ ∨ ∨ respectively C can both be ⇒ ⇒ ⇒ D can be ⇒ ⇒ ⇒ and ⇔ ⇔ ⇔ respectively
Correct answer C. can both be ⇒ ⇒ ⇒
Step-by-step solution
( p ∧ q ) \left(p ∧ q\right) ( p ∧ q ) ⇒ r
< i m g s r c = " / a p i / p r o x y − i m a g e ? u r l = h t t p s <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 ) < im g src = "/ a p i / p ro x y − ima g e ? u r l = h ttp s ( A ) \left(A\right) ( A ) is incorrect option
\left(B\right)
p ∧ ( q ∨ r ) p ∧ \left(q ∨ r\right) p ∧ ( q ∨ r ) ( B ) \left(B\right) ( B ) is incorrect option
\left(C\right)
p ⇒ ( q ⇒ r ) p ⇒ \left(q ⇒ r\right) p ⇒ ( q ⇒ r ) ( C ) \left(C\right) ( C ) is correct option
(D)
p ⇒ ( q ⇔ r ) < i m g s r c = " / a p i / p r o x y − i m a g e ? u r l = h t t p s p ⇒ \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 p ⇒ ( q ⇔ r ) < im g src = "/ a p i / p ro x y − ima g e ? u r l = h ttp s
Practice Mathematical Reasoning on Quantrex Academy →
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