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NTA Abhyas 2020

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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Consider three statements p: Person ‘A’ passed in mathematics exam...

Consider three statements

p:

Person

‘A’

passed in mathematics exam

q:

Person

‘A’

passed in physics exam

r:

Person

‘A’

passed in chemistry exam

Then, the statement \left(

\left( \left(p ⇒ q\right)\right) ⇒ r\right)

is equivalent to

Options

APerson $A$ passed only in mathematics among mathematics, physics and chemistry.
BPerson $A$ failed only in physics among mathematics, physics and chemistry.
CPerson $A$ passed in all the three subjects mathematics and physics and chemistry.
DPerson $A$ passed in chemistry but failed in mathematics and physics.

Correct answer

B. Person $A$ failed only in physics among mathematics, physics and chemistry.

Step-by-step solution

\left(\left( \left(p ⇒ q\right)\right) ⇒ r\right) ≡ \left(\left(p ∧ q\right)

⇒ r\right)

<br /><br />

≡ p ∧ q ∧ r$$

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