Verified Solution • 2025–26 Session moderate

QJEEM21Ma238c: JEE Main 2021 Mathematics - Class 11 JEEM21Ma238c Solution: The Boolean expression (p q) ((r q) p) is equivalent to :

The Boolean expression (p ∧\wedge q) ⇒\Rightarrow ((r ∧\wedge q) ∧\wedge p) is equivalent to :

Multiple Choice Options

  • A (p ∧\wedge q) ⇒\Rightarrow (r ∧\wedge q)
  • B (q ∧\wedge r) ⇒\Rightarrow (p ∧\wedge q)
  • C (p ∧\wedge q) ⇒\Rightarrow (r ∨\vee q)
  • D (p ∧\wedge r) ⇒\Rightarrow (p ∧\wedge q)

Step-by-Step Verified Solution

given statement says

"if p and q both happen then p and q and r will happen"

it simply implies "If p and q both happen then 'r' too will happen"

i.e.

"if p and q both happen then r and p too will happen

i.e.

(p ∧\wedge q) ⇒\Rightarrow (r ∧\wedge p)

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