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.
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Question 1
10 May 2023 S2
145
The converse of "If 3 is a prime number, then 3 is odd." is
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Question 2
11 May 2023 S1
117
Let p: A man is judge. q: He is honest. The inverse of p→q is
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Question 3
11 May 2023 S2
105
Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is
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Question 4
15 May 2023 S1
116
Contrapositive of the statement 'If two numbers are equal, then their squares are equal' is
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Question 5
12 May 2024 S1
142
The contrapositive of "If x and y are integers such that xy is odd, then both x and y are odd" is
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Question 6
12 May 2024 S1
140
The inverse of the statement "If the surface area increases, then the pressure decreases" is
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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.
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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
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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
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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?