Please refer to Assignments Class 11 Mathematics Mathematical Reasoning Chapter 14 with solved questions and answers. We have provided Class 11 Mathematics Assignments for all chapters on our website. These problems and solutions for Chapter 14 Mathematical Reasoning Class 11 Mathematics have been prepared as per the latest syllabus and books issued for the current academic year. Learn these solved important questions to get more marks in your class tests and examinations.
Mathematical Reasoning Assignments Class 11 Mathematics
Question. ~ ( p ∨ q) is equal to:
(a) ~ p ∨ ~ q
(b) ~ p ∧ ~ q
(c) ~ p ∨ q
(d) p ∨ ~ q
Answer
B
Question. Negation of “Ram is in Class X or Rashmi is in Class XII” is:
(a) Ram is not in class X but Ram is in class XII
(b) Ram is not in class X but Rashmi is not in class XII
(c) Either Ram is not in class X or Ram is not in class XII
(d) None of these
Answer
D
Question. ~ ( p ∨ (~ q)) is equal to:
(a) ~ p ∨ q
(b) (~ p) ∧ q
(c) ~ p ∨ ~ p
(d) ~ p ∧ ~ q
Answer
B
Question. Which of the following is a contradiction?
(a) ( p ∧ q)∧ ~ ( p ∨ q)
(b) p ∨ (~ p ∧ q)
(c) ( p⇒q)⇒ p
(d) None of these
Answer
A
Question. Which of the following is logically equivalent to ~(~ p⇒q) ?
(a) p ∧ q
(b) p∧ ~ q
(c) ~ p ∧ q
(d) ~ p ∧ ~ q
Answer
D
Question. Which Venn diagram represent the truth of the statement “All students are hard working.”
Where U = Universal set of human beings
S = Set of all students
H = Set of all hard workers?
Answer
A
Question. ~ ( p ∧ q) is equal to:
(a) ~ p ∨ ~ q
(b) ~ p ∧ ~ q
(c) ~ p ∧ q
(d) p ∧ ~ q
Answer
A
Question. (~ (~ p)) ∧ q is equal to:
(a) ~ p ∧ q
(b) p ∧ q
(c) p ∧ ~ q
(d) ~ p ∧ ~ q
Answer
B
Question. ~ ((~ p) ∧ q) is equal to:
(a) p ∨ (~ q)
(b) p ∨ q
(c) p ∧ (~ q)
(d) ~ p ∧ ~ q
Answer
A
Question. ~ ( p⇔q) is:
(a) ~ p ∧ ~ q
(b) ~ p ∨ ~ q
(c) ( p ∧ ~ q) ∨ (~ p ∧ q)
(d) None of these
Answer
C
Question. ~ ( p ∨ q) ∨ (~ p ∧ q) is logically equivalent to:
(a) ~ p
(b) p
(c) q
(d) ~q
Answer
A
Question. The inverse of the proposition ( p ∧ ~ q)⇒r is:
(a) ~ r ⇒ ~ p ∨ q
(b) ~ p ∨ q⇒ ~ r
(c) r ⇒ p ∧ ~ q
(d) None of these
Answer
B
Question. The conditional ( p ∧ q)⇒ p is:
(a) A tautology
(b) A fallacy i.e., contradiction
(c) Neither tautology nor fallacy
(d) None of these
Answer
A
Question. When does the current flow through the following circuit?
(a) p, q, r should be closed
(b) p, q, r should be open
(c) Always
(d) None of these
Answer
A
Question. Which Venn diagram represents the truth of the statement? “No policeman is a thief”?
Answer
A
Question. Which Venn diagram represent the truth of the statement “Some teenagers are not dreamers”
Answer
C
Question. Which Venn diagram represent the truth of the statements “No child is naughty” Where U = Universal set of human
beings; C = Set of children; N = Set of naughty persons?
Answer
A
Question. Which of the following Venn diagram corresponds to the statement “All mothers are women”
(M is the set of all mothers, W is the set of all women)
Answer
C
Question. The negative of q ∨ ~ ( p ∧ r) is:
(a) ~ q ∧ ~ ( p ∧ r)
(b) ~ q ∧ ( p ∧ r)
(c) ~ q ∨ ( p ∧ r)
(d) None of these
Answer
B
Question. The propositions ( p⇒~ p) ∧ (~ p⇒ p) is a:
(a) Tautology and contradiction
(b) Neither tautology nor contradiction
(c) Contradiction
(d) Tautology
Answer
C
