Given the statement: All seniors are mature students. The statement that negates this statement is:
A
All non-seniors are mature students.
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B
Some non-seniors are mature students
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C
No seniors are mature students
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D
All seniors are immature students.
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E
At least one senior is an immature student
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Solution
The correct option is E At least one senior is an immature student p⇒q is equivalent to ∼q⇒∼p So the sentence "All seniors are mature students" is equivalent to "If anyone is not mature student then he is not senior" So, the negation of it is "Atleast one senior is immature student".