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To find the distance d over which a signal can be seen clearly in foggy conditions

To find the distance d over which a signal can be seen clearly in foggy conditions, a railway engineer uses dimensional analysis and assumes that... View Article

Density of liquid in CGS system is 0.625 g–cm-3 . What is its magnitude in SI system?

1) 0.625 2) 0.0625 3) 0.00625 4) 625 Answer: 4) 625 In CGS units d = 0.625 gcm−3 In SI units d = 0.625×10−3kg10−6m3... View Article

1 Wb/m² is equal to

1) 104 gauss 2) 4π x 10-3 gauss 3) 102 gauss 4) 10-4 gauss Answer: 1) 104 gauss If a charge of 1 C moving with a velocity of... View Article

If K denotes coefficient of thermal conductivity, d the density and c the specific heat, the unit of X , where X = K/ dc will be

1) cm s -1 2) cm 2 s -2 3) cm s 4) cm 2 s -1 Answer: 4) cm 2 s -1 The Units of the respective quantities in SI... View Article

The constant of proportionality (1/4πε₀) in Coulomb’s law has the following unit

a) C-2Nm2 b) C2N-1m-2 c) C2Nm2 d) C-2N-1m-2 Answer: a) C-2Nm2 Soluion: From Coulomb’s law F=(1/4πε0)q1q2r2... View Article

The negation of the proposition `If 2 is prime, then 3 is odd’ is

1) if 2 is not prime, then 3 is not odd 2) 2 is prime and 3 is not odd 3) 2 is not prime and 3 is odd 4) if 2 is not prime, then 3 is... View Article

Which of the following statements has the truth value ‘F’?

1) A quadratic equation has always a real root 2) The number of ways of seating 2 persons in two chairs out of n persons is P(n, 2) 3) The... View Article

The dual of the statement [p ⋁ (~ q)] ⋀ (~ p) is

1) p ⋁ (~ q) ⋁ ~ q 2) (p ⋀ ~ q) ⋁ ~ p 3) p ⋀ ~ (q ⋁ ~ p) 4) None of the above Solution: (2) (p ⋀ ~ q) ⋁ ~ p The dual of the given... View Article

If p, q and r are simple propositions with truth values T, F, T, then the truth value of [(~ p ⋁ q) ⋀ ~ r] ⇒ p is

1) true 2) false 3) true, if r is false 4) None of these Solution: (1) true ∼ p ∨ q means F ∨ F = F, ∼ r means F. ∴ [(∼ p ∨ q) ∧... View Article

If p is the statement ‘Ravi races’ and q is the statement `Ravi wins’. Then, the verbal translation of ~ [p ⋁ (~ q)] is

1) Ravi does not race and Ravi does not win 2) It is not true that Ravi races or that Ravi does not win 3) Ravi does not race and Ravi wins... View Article

The converse of the contrapositive of the conditional p → ~ q is

1) p → q 2) ~ p → ~ q 3) ~ q → p 4) ~ p → q Solution: (4) ~ p → q The contrapositive of p → ~ q is ~ (~ q) → ~ p or q → ~ p The... View Article

Negation of the conditional, ‘If it rains, I shall go to school’ is

1) It rains and I shall go to school 2) It rains and I shall not go to school 3) It does not rain and I shall go to school 4) None of... View Article

The contrapositive of (p ∨ q ) ⇒ r is

(1) ~ r ⇒ (p ∨ q) (2) r ⇒ (p ∨ q) (3) ~ r ⇒ (~ p ∧ ~ q) (4) p ⇒ (q ∨ r) Solution: (3) ~ r ⇒ (~ p ∧ ~ q)... View Article

Negation of Paris is in France and London is in England is

1) Paris is in England and London is in France 2) Paris is not in France or London is not in England 3) Paris is in England or London is in... View Article

Simplify the following circuit and find the boolean polynomial

1) p ⋁ (q ⋀ r) 2) p ⋀ (q ⋁ r) 3) p ⋁ (q ⋁ r) 4) p ⋀ (q ⋀ r) Solution: (1) p ⋁ (q ⋀ r) p ⋁ (q ⋀ r) is the right answer.... View Article

Which of the following Statements is a tautology?

1) (~ q ⋀ p) ⋀ q 2) (~ q ⋀ p) ⋀ (p ⋀ ~ p) 3) (~ q ⋀ p) ⋁ (p ⋁ ~ p) 4) (p ⋀ q) ⋀ [~ (p ⋀ q)] Solution: (3) (~ q ⋀ p) ⋁ (p ⋁ ~ p)... View Article

If p: 7 is not greater than 4 and q: Paris is in France, are two statements. Then, ~ (p ⋁ q) is the statement

1) 7 is greater than 4 or Paris is not in France 2) 7 is not greater than 4 and Paris is not in France 3) 7 is greater than 4 and Paris is... View Article

If S (p, q, r) = (~ p) ∨ [~ (q ∧ r)] is a compound statement, then S (~ p, ~ q, ~ r) is

1) ~ S (p, q, r) 2) S (p, q, r) 3) p ∨ (q ∧ r) 4) p ∨ (q ∨ r) 5) S (p, q, ~ r) Solution: (4) p ∨ (q ∨ r) S (p, q, r) = (~ p) ∨... View Article

For any two statements p and q, ~ (p ∨ q) ∨ (~ p ∧ q) is logically equivalent to

1) p 2) ~ p 3) q 4) ~ q Solution: (2) ~ p ~ (p ∨ q) ∨ (~ p ∧ q) = (~ p ∧ ~ q) ∨ (~ p ∧ q) = ~ p ∧ (~ q ∨ q) = ~ p ∧ T = ~ p... View Article

If S be a non-empty subset of R. Consider the following statement P: There is a rational number x ∈ S such that x > 0. Which of the following statements is the negation of statement P?

Consider the following statement P: There is a rational number x ∈ S such that x > 0. Which of the following statements is the negation of... View Article

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