HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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# Solution for If p ˄ q = F, p → q = F, then the truth value of p and q is : - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

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ConceptMathematical Logic Truth Value of Statement in Logic

#### Question

If p ˄ q = F, p → q = F, then the truth value of p and q is :

• T, T

• T, F

• F, T

• F, F

#### Solution

(p ∧ q) is F and(p → q) is F.
Consider the following truth table:

 p q p ∧ q p → q T T T T T F F F F T F T F F F T

If (p ∧ q) is F and (p → q) is F, the their truth value must be T and F respectively

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (October) (with solutions)
Question 1.1.1 | 2.00 marks

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Solution If p ˄ q = F, p → q = F, then the truth value of p and q is : Concept: Mathematical Logic - Truth Value of Statement in Logic.
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