Negation of the compound proposition: If the examination is difficult, then I shall pass if I study hard
1) The examination is difficult and I study hard and I shall pass 2) The examination is difficult and I... View Article
Latest Posts
Statement-1: ~ (p ↔ ~ q) is equivalent to p ↔ q. Statement-2: ~ (p ↔ ~ q) is a tautology.
Statement-2: ~ (p ↔ ~ q) is a tautology. 1) Statement 1 is true, statement 2 is true; statement 2... View Article
The output of the circuit is
1) (x2 + x3) . [(x1 . x2) . x3’] 2) (x2 + x3) . [(x1 . x2) . x3’]... View Article
An AND gate is the Boolean function defined by
1) f (x1, x2) = x1 . x2, x1, x2 ∈ {0, 1} 2) f (x1, x2) = x1 +... View Article
Let p be the proposition: Mathematics is interesting and let q be the proposition that Mathematics is difficult, then the symbol p ˄ q means
1) Mathematics is interesting implies that Mathematics is difficult 2) Mathematics is interesting implies and is implied by Mathematics is... View Article
For the circuits shown below, the Boolean polynomial is
1) (~ p ˅ q) ˅ (p ˅ ~ q) 2) (~ p ˄ p) ˄ (q ˄ q) 3)... View Article
Which Venn diagram represents the truth of the statement: “All smokers are drinkers and all drinkers are smokers”””
1) 2) 3) 4) None of these Solution: 1) All smokers are drinkers and all drinkers are smokers. S ⊆... View Article
Negation of the proposition: If we control population growth, we prosper
1) If we do not control population growth, we prosper 2) If we control population growth, we do not prosper... View Article
The negation of the statement If I become a teacher
1) I will become a teacher and I will not open a school 2) Either I will not become a... View Article
Ram secures 100 marks in maths, then he will get a mobile. The converse is
1) If Ram gets a mobile, then he will not secures 100 marks 2) If Ram does not get a... View Article
The negation of p → (~ p ˅ q) is
1) p ˅ (p ˅ ~ q) 2) p → ~ (p ˅ q) 3) p → q 4) p... View Article
If it is raining, then I will not come. Give its contrapositive
1) If I will come, then it is not raining 2) If I will not come, then it is raining... View Article
The negation of (p ˅ ~ q) ˄ q is
1) (~ p ˅ q) ˄ ~ q 2) (p ˄ ~ q) ˅ q 3) (~ p ˄ q)... View Article
Which of the following statements is a tautology?
1) (~ q ˄ p) ˄ q 2) (~ q ˄ p) ˄ (p ˄ ~ p) 3) (~ q... View Article
Which of the following is the inverse of the proposition: If a number is a prime then it is odd.
1) If a number is not a prime then it is odd 2) If a number is not a prime... View Article
(p ˄ ~ q) ˄ (~ p ˄ q) is
1) A tautology 2) A contradiction 3) Both a tautology and a contradiction 4) Neither a tautology nor a contradiction... View Article
Which of the following is not a proposition?
1) √3 is a prime 2) √2 is irrational 3) Mathematics is interesting 4) 5 is an even integer Solution:... View Article
The dimensions of electrical conductivity are
1) [M-1L-3T3A2] 2) [M1L3T3A2] 3) [M1L3T-3A-2] 4) [M2L3T-3A2] Answer: 1) [M-1L-3T3A2] Electrical conductivity = 1/R R = V/I Electrical conductivity = 1/R = I/V... View Article
The dimensional formula for refractive index is
1) [M0L1T-1] 2) [M0L0T0] 3) [M0L1T1] 4) [MLT-1] Answer: 2) [M0L0T0] Refractive Index = speed of light in vacuum / speed of light in medium... View Article
If the units of length and force are increased four times each, the unit of energy is increased
1) 4 times 2) 16 times 3) 8 times 4) no increase Answer: 2) 16 times Solution: Unit of energy =... View Article
