PYQ Vault

Converse, inverse or contrapositive of a conditional statement in words

This type of question, asked 9 times: 10 May 2023 S2, 11 May 2023 S1, 11 May 2023 S2, 15 May 2023 S1, 12 May 2024 S1, 12 May 2024 S2, 20 Apr 2025 S2, 17 Apr 2026 S1, 19 May 2026 S2. All 10 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2023 S2

    145
    The converse of "If 3 is a prime number, then 3 is odd." is

    Tap an option to check your answer.

  2. Question 2

    11 May 2023 S1

    117
    Let p: A man is judge. q: He is honest. The inverse of p→qp \to q is

    Tap an option to check your answer.

  3. Question 3

    11 May 2023 S2

    105
    Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

    Tap an option to check your answer.

  4. Question 4

    15 May 2023 S1

    116
    Contrapositive of the statement 'If two numbers are equal, then their squares are equal' is

    Tap an option to check your answer.

  5. Question 5

    12 May 2024 S1

    142
    The contrapositive of "If xx and yy are integers such that xyxy is odd, then both xx and yy are odd" is

    Tap an option to check your answer.

  6. Question 6

    12 May 2024 S1

    140
    The inverse of the statement "If the surface area increases, then the pressure decreases" is

    Tap an option to check your answer.

  7. Question 7

    12 May 2024 S2

    150
    Let Statement 1: If a quadrilateral is a square, then all of its sides are equal. Statement 2: All the sides of a quadrilateral are equal, then it is a square.

    Tap an option to check your answer.

  8. Question 8

    20 Apr 2025 S2

    136
    The equivalent statement of "If three vertices of a triangle are represented by cube roots of unity, then the triangle is an equilateral triangle" is

    Tap an option to check your answer.

  9. Question 9

    17 Apr 2026 S1

    61
    If the statements p: If voltage increases then current decreases. q : If voltage does not increase then current does not decrease. r : If current decreases then voltage increases. s : If current does not decrease then voltage does not increase. then which of the following pairs of statements having same meaning

    Tap an option to check your answer.

  10. Question 10

    19 May 2026 S2

    60
    Consider the following statements - (i) If a person is social, then he is happy. (ii) If a person is not social, then he is not happy. (iii) If a person is not happy, then he is not social. (iv) If a person is happy, then he is social. Which of the above statements are equivalent?

    Tap an option to check your answer.