Question:
Statement:
I. Democrats are secularists.
Which of the following statements, if true, would show that the above statement is false?
Statement:
I. Democrats are secularists.
Which of the following statements, if true, would show that the above statement is false?
I. Democrats are secularists.
Which of the following statements, if true, would show that the above statement is false?
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A universal statement “All $A$ are $B$” is disproved by finding one $A$ that is not $B$.
Updated On: Aug 11, 2025
- My father is a secularist but he is not a democrat.
- My father is a democrat but he is not secularist.
- My father is a democrat and he is secularist.
- My father is neither a democrat nor a secularist.
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The Correct Option is B
Solution and Explanation
The statement “Democrats are secularists” means: If someone is a democrat, then that person is a secularist. Symbolically: $D \Rightarrow S$.
To prove this statement false, we need a counterexample where someone is a democrat but not a secularist.
Option (b) exactly provides such a case — “My father is a democrat but he is not secularist” — which violates the given universal statement.
Options (a), (c), and (d) do not contradict the original statement because they either involve non-democrats or democrats who are also secularists.
To prove this statement false, we need a counterexample where someone is a democrat but not a secularist.
Option (b) exactly provides such a case — “My father is a democrat but he is not secularist” — which violates the given universal statement.
Options (a), (c), and (d) do not contradict the original statement because they either involve non-democrats or democrats who are also secularists.
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