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Statement: Either P marries Q or X marries Y.
Among the options below, the logical NEGATION of the above statement is:
- a)Neither P marries Q nor X marries Y.
- b)X does not marry Y and P marries Q.
- c)P does not marry Q and X marries Y.
- d)P marries Q and X marries Y.
Correct answer is option 'A'. Can you explain this answer?
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Statement: Either P marries Q or X marries Y.Among the options below,...
Given statement: Either P marries Q or X marries Y. Negation is the grammatical operation whereby a proposition is replaced by one that states the opposite. In English language, sentences may be negated with the adverbs 'not' and 'never', the determiner 'no', and the indefinite pronouns 'no one', 'nobody', 'neither' and 'none' as well as other negative words.
Thus, the logical negation of the above statement is 'Neither P marries Q nor X marries Y.'
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Statement: Either P marries Q or X marries Y.Among the options below,...
Logical Negation:
The logical negation of a statement is when its meaning is reversed. In this case, the original statement is "Either P marries Q or X marries Y." The logical negation of this statement would be its opposite, which is "Neither P marries Q nor X marries Y."
Explanation:
To understand why option 'A' is the correct answer, let's analyze the original statement and its negation:
Original Statement: Either P marries Q or X marries Y.
Negation: Neither P marries Q nor X marries Y.
Either/Or Statement:
The original statement presents an "either/or" scenario, meaning that one of two options must be true. In this case, it states that either P marries Q or X marries Y.
Negation of Either/Or Statement:
When we negate an "either/or" statement, we change it to a "neither/nor" statement. This means that neither of the options presented in the original statement can be true in the negation.
Analysis of Options:
Let's analyze the given options to determine which one represents the logical negation of the original statement:
a) Neither P marries Q nor X marries Y.
This option matches the logical negation of the original statement, as it presents a "neither/nor" scenario where both options are false.
b) X does not marry Y and P marries Q.
This option does not represent the negation of the original statement because it still allows for one of the options to be true.
c) P does not marry Q and X marries Y.
Similar to option b, this option does not represent the negation of the original statement because it still allows for one of the options to be true.
d) P marries Q and X marries Y.
This option does not represent the negation of the original statement because it presents the same scenario as the original statement, where one of the options must be true.
Conclusion:
After analyzing the options, we can conclude that option 'A' - "Neither P marries Q nor X marries Y" - is the correct logical negation of the original statement. This option presents a scenario where both options are false, contrary to the original statement's "either/or" scenario.
The logical negation of a statement is when its meaning is reversed. In this case, the original statement is "Either P marries Q or X marries Y." The logical negation of this statement would be its opposite, which is "Neither P marries Q nor X marries Y."
Explanation:
To understand why option 'A' is the correct answer, let's analyze the original statement and its negation:
Original Statement: Either P marries Q or X marries Y.
Negation: Neither P marries Q nor X marries Y.
Either/Or Statement:
The original statement presents an "either/or" scenario, meaning that one of two options must be true. In this case, it states that either P marries Q or X marries Y.
Negation of Either/Or Statement:
When we negate an "either/or" statement, we change it to a "neither/nor" statement. This means that neither of the options presented in the original statement can be true in the negation.
Analysis of Options:
Let's analyze the given options to determine which one represents the logical negation of the original statement:
a) Neither P marries Q nor X marries Y.
This option matches the logical negation of the original statement, as it presents a "neither/nor" scenario where both options are false.
b) X does not marry Y and P marries Q.
This option does not represent the negation of the original statement because it still allows for one of the options to be true.
c) P does not marry Q and X marries Y.
Similar to option b, this option does not represent the negation of the original statement because it still allows for one of the options to be true.
d) P marries Q and X marries Y.
This option does not represent the negation of the original statement because it presents the same scenario as the original statement, where one of the options must be true.
Conclusion:
After analyzing the options, we can conclude that option 'A' - "Neither P marries Q nor X marries Y" - is the correct logical negation of the original statement. This option presents a scenario where both options are false, contrary to the original statement's "either/or" scenario.
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Statement: Either P marries Q or X marries Y.Among the options below, the logical NEGATION of the above statement is:a)Neither P marries Q nor X marries Y.b)X does not marry Y and P marries Q.c)P does not marry Q and X marries Y.d)P marries Q and X marries Y.Correct answer is option 'A'. Can you explain this answer?
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