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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Let p, q and r be three statements. Consider two compound...

Let p,qp, q and rr be three statements. Consider two compound statements
S1:(p⇒q)⇒r≡p⇒(q⇒r){S}_{1}: \left(p ⇒ q\right) ⇒ r ≡ p ⇒ \left(q ⇒ r\right)
S2:(p⇔q)⇔r≡p⇔(q⇔r){S}_{2}: \left(p ⇔ q\right) ⇔ r ≡ p ⇔ \left(q ⇔ r\right)
State in order, whether S1,S2{S}_{1}, {S}_{2} are true or false.

(where,& T represents true and F represents false)

Options

  1. AT T
  2. BT F
  3. CFT
  4. DFF

Correct answer

C. FT

Step-by-step solution

pp qq rr \left(p ⇒ q\right) ⇒ r</th><th></th> <th>p ⇒ \left(q ⇒ r\right) \left(p ⇔ q\right) ⇔ r</th><th></th> <th>p ⇔ \left(q ⇔ r\right)
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
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