If p : “roses are red” and q : “the sun is a star”. Then, the verbal translation of (~ p) ∨ q is
1) roses are not red and the Sun is not a star 2) it is not true that roses are... View Article
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The negation of p → (~ p ∨ q) is
1) p ∨ (p ∨ ~ q) 2) p → ~ (p ∨ q) 3) p → q 4) p... View Article
The only statement among the following which is a tautology, is
1) B → [A ∧ (A → B)] 2) A ∧ (A ∨ B) 3) A ∨ (A ∧ B)... View Article
Consider the following statements. p: Suman is brilliant. q: Suman is rich. r: Suman is honest. The negation of the statement “Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as
p: Suman is brilliant. q: Suman is rich. r: Suman is honest. The negation of the statement “Suman is brilliant... View Article
The negative of the compound proposition p ∨ (~ p ∨ q) is
(1) (p ∧ ~ q) ∨ ~ p (2) (p ∧ ~ q) ∧ ~ p (3) (p ∧ ~... View Article
Consider the following statements: Statement I: (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy. Statement II: (p → q) ↔ (~ q → ~ p) is a tautology.
Statement I: (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy Statement II: (p → q) ↔... View Article
The truth values of p, q and r for which (p ∧ q) ∨ (~ r) has truth value F are respectively
1) F, T, F 2) F, F, F 3) T, T, T 4) T, F, F 5) F, F, T... View Article
If p, q and r are any three logical statements, then which one of the following is correct?
1) ~ [p ∧ (~ q)] ≡ (~ p) ∧ q 2) ~ (p ∨ q) ∧ (~ r) ≡... View Article
Which of the following is not a correct statement?
1) Mathematics is interesting 2) √3 is a prime number 3) √2 is an irrational number 4) The sun is... View Article
The statement (p ⇒ q) ⇔ (~ p ∧ q) is a
1) tautology 2) contradiction 3) Neither (a) nor (b) 4) None of these Solution: (3) Neither (a) nor (b) p... View Article
The negation of p → (q ∧ r)
1) ~ p → ~ (q ∨ r) 2) ~ p → ~ (q ∧ r) 3) (q ∧ r)... View Article
The Statement ~ (p ↔ ~ q) is
1) equivalent to p ↔ q 2) equivalent to ~ p ↔ q 3) a tautology 4) a fallacy Solution:... View Article
A solid reflects incident light and its electrical conductivity decreases with temperature. The binding in this solids
(a) Ionic(b) Covalent(c) Metallic(d) Molecular Solution: (c) MetallicMetals reflects incident light by the vibrations of free electrons under the infulence... View Article
In an n-type semiconductor, the donor energy level lies
(a) at the center of the energy gap (b) just below the conduction band (c) just above the valence band... View Article
When a solid with a band gap has a donor level just below its empty energy band, the solid is
(a) a condutor(b) a insulator(c) an n-type semiconductor(d) a p-type semiconductor Solution:(c) an n-type semiconductorIn an n-type semiconductor, the impurity... View Article
For an insulator, the forbidden energy gap is
(a) 1 MeV(b) 0.1 MeV(c) 1 eV(d) 5 eV Solution: (d) 5 eVForbidden energy gap, also known as band gap... View Article
The energy band gap (distance between the conduction band and valence band) in conductor is
(a) 0(b) 4 angstrom(c) 10 angstrom(d) 100 angstrom Solution: (a) 0In conductors, the valence band and conduction band overlap each... View Article
In the bandgap between valence hand and conduction band in a material is 5.0 eV, then the material is
a) insulatorb) semiconductorc) good conductord) superconductor Solution: a) insulatorGenerally, Insulators have very large band gap and thus they do not... View Article
The energy gap between conduction band and valence band is of the order of 0.07 eV. It is a/an
a) insulatorb) conductorc) semiconductord) alloySolution: b) conductorThe energy gap between the conduction and valence band is 0.07 eV.Since gap is... View Article
In a semiconductor, separation between conduction and valence band is of the order of
a) 100 eVb) 10 eVc) 1 eVd) 0 eVSolution:c) 1 eVIn conductor separation between conduction and valence bands is zero... View Article
