Q65.For the statements p and q, consider the following compound statements: (a) (~q ∧(p →q)) →~p (b) ((p ∨q) ∧~p) →q Then which of the following statements is correct? (1) (b) is a tautology but not (a). (2) (a) and (b) both are tautologies. (3) (a) and (b) both are not tautologies. (4) (a) is a tautology but not (b).
What This Question Tests
The question requires checking whether given compound statements are tautologies using truth tables or logical equivalences.
Concepts Tested
Formulas Used
p → q = ~p ∨ q
📚 NCERT Sections This Tests
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
14.1 — In An N-Type Silicon, Which Of The Following Statement Is True:
Physics Class 12 · Chapter 14
14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Tautology
- Year
- 2021
- Shift
- 24 Feb Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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