Verified Solution • 2025–26 Session moderate

QJEEM22Ma8fe4: JEE Main 2022 Mathematics - Class 11 JEEM22Ma8fe4 Solution: The statement ( p ∧ q ) ⇒ ( p ∧ r ) is equivalent to :

The statement (p∧q)⇒(p∧r) is equivalent to :

Multiple Choice Options

  • A q⇒(p∧r)
  • B p⇒(p∧r)
  • C (p∧r)⇒(p∧q)
  • D (p∧q)⇒r

Step-by-Step Verified Solution

p q r A=p∧q B=p∧r A→B q→B p→B B→A A→r
T T T T T T T T T T
T F T F T T T T F T
F T T F F T F T T T
F F T F F T T T T T
T T F T F F F F T F
T F F F F T T F T T
F T F F F T F T T T
F F F F F T T T T T

(p∧q)⇒(p∧r) is equivalent to (p∧q)⇒r

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