Q1 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

Let p, q and r be three statements. Consider two compound statements
S1: p⇒q⇒r ≡ p⇒q⇒r
S2: p⇔q⇔r ≡ p⇔q⇔r
State in order, whether S1,S2 are true or false.

(where, T represents true and F represents false)

  • A
    T T
  • B
    T F
  • Correct answer
    C
    FT
  • D
    FF

Solution

p q r p⇒q⇒r p⇒q⇒r p⇔q⇔r p⇔q⇔r
T T T T T T T
T F T T T F F
F T T T T F F
F F T T T T T
T T F F F F F
T F F T T T T
F T F F T T T
F F F F T F F

Hence, the correct answer is option: 'C'.

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