Start learning →

MHT-CET Mathematical Logic — practice questions

Explore 57 free Mathematical Logic questions in MHT-CET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Mathematical Logic with Quill →

Mathematical Logic questions and exercises with answers

Showing questions 1–30 of 57.

Which of the following sentences is a statement in logic?Read the answer and worked solution →Which kind of sentence is NOT a statement in mathematical logic?Read the answer and worked solution →A logical statement must be true or false, but neverRead the answer and worked solution →The sentence "x + 6 = 9" is best described in logic asRead the answer and worked solution →Which sentence is an open sentence and hence not a statement?Read the answer and worked solution →What is the truth value of the statement 5 × 2 = 11?Read the answer and worked solution →The statement "The square of a prime number is a prime number" has truth valueRead the answer and worked solution →"Every real number is a complex number" is a statement whose truth value isRead the answer and worked solution →A statement formed by combining two or more simple statements is calledRead the answer and worked solution →Which set lists the logical connectives studied in this unit?Read the answer and worked solution →Two statements joined by the connective 'and' form aRead the answer and worked solution →A joined 'and' statement p ∧ q holds true only in which situation?Read the answer and worked solution →Which situation makes an 'or' compound statement p ∨ q false?Read the answer and worked solution →Under which truth values does an if-then compound p → q fail?Read the answer and worked solution →In p → q, the statement p is called theRead the answer and worked solution →Which phrase does NOT express the conditional p → q?Read the answer and worked solution →Which condition makes a double-implication statement p ↔ q hold?Read the answer and worked solution →If p is true and q is false, what is the truth value of p ↔ q?Read the answer and worked solution →The negation of a statement p is writtenRead the answer and worked solution →The statement ~ (~ p) is logically the same asRead the answer and worked solution →Delhi is in India but Dhaka is not in Srilanka. Using p: Delhi is in India, q: Dhaka is in Srilanka, the symbolic form isRead the answer and worked solution →"A school is open or there is a holiday" is written symbolically asRead the answer and worked solution →Truth value of: 3 is a prime number and 4 is a rational number.Read the answer and worked solution →Truth value of: All flowers are red or all cows are black.Read the answer and worked solution →Truth value of: Milk is white if and only if the Sun rises in the West.Read the answer and worked solution →If Mumbai is in Maharashtra then Delhi is the capital of India. Its truth value isRead the answer and worked solution →A statement pattern that is true for all truth values of its components is called aRead the answer and worked solution →Pick the pattern that holds in every possible case:Read the answer and worked solution →Which pattern fails in every possible case, whatever p stands for?Read the answer and worked solution →A pattern that is neither a tautology nor a contradiction is called aRead the answer and worked solution →

Worked practice questions

Which of the following sentences is a statement in logic?

  1. Sun rises in the East.
  2. Please, give your pen.
  3. What is your name now?
  4. How lovely this place is!
Show answer and solution

Correct answer: A. Sun rises in the East.

It is a declarative sentence with a definite truth value, true here.

Open this question →

Which kind of sentence is NOT a statement in mathematical logic?

  1. A true assertion
  2. A false assertion
  3. A question asked
  4. A false equation
Show answer and solution

Correct answer: C. A question asked

A question cannot be called true or false, so it carries no truth value.

Open this question →

A logical statement must be true or false, but never

  1. true alone
  2. false alone
  3. neither of them
  4. both at once
Show answer and solution

Correct answer: D. both at once

A statement cannot be true and false simultaneously; it has exactly one truth value.

Open this question →

How to practise

  1. Choose a Mathematical Logic question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Permutations and CombinationsProbabilityApplication of DerivativesLinear ProgrammingDifferential EquationsVectorsDefinite IntegrationMatrices