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Consider the following logical inferences
(A) “If you have a current password, then you can log onto the network.”
“You have a current password.”
Inference: “You can log onto the network.”
(B) “If Sita to go school then Ram will go to school.”
“Sita doesn’t go to school”.
Inference: “Ram doesn’t go to school”
Which of the following is TRUE?
  • a)
    Both A and B are correct inferences
  • b)
    A is correct but B is not a correct inferenceCorrect Answer
  • c)
    A is not correct but B is a correct inference
  • d)
    Both A and B are not correct inferences
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following logical inferences(A) “If you have a curr...
Inference A, is Modus Ponens.
Inference B, is false.
Let P = Sita go to school.
Q = Ram go to school.
For P →Q to be true.
If P is true then Q has to be true. (There is no other choice for Q).
But if P is false then Q can be anything (True or False). Still P →Q is true.
This is also known as "The fallacy of denying the antecedent".
P →Q
~P
∴(Nothing can be concluded).
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Consider the following logical inferences(A) “If you have a curr...
If it is raining, then the ground is wet.
(B) If the ground is wet, then it has been raining.
(C) If it has been raining, then there are clouds in the sky.
(D) If there are clouds in the sky, then it is likely to rain.

Logical Inference 1: If it is raining, then there are clouds in the sky.
This inference can be derived from (A) and (C). If it is raining (A), then the ground is wet. If the ground is wet, then it has been raining (B). If it has been raining, then there are clouds in the sky (C). Therefore, if it is raining, then there are clouds in the sky.

Logical Inference 2: If the ground is wet, then it is likely to rain.
This inference can be derived from (B) and (D). If the ground is wet (B), then it has been raining. If there are clouds in the sky (D), then it is likely to rain. Therefore, if the ground is wet, then it is likely to rain.

Logical Inference 3: If there are clouds in the sky, then the ground is wet.
This inference cannot be derived from the given statements. It is possible for there to be clouds in the sky without it raining, and therefore the ground may not be wet.
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Consider the following logical inferences(A) “If you have a curr...
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Consider the following logical inferences(A) “If you have a current password, then you can log onto the network.”“You have a current password.”Inference: “You can log onto the network.”(B) “If Sita to go school then Ram will go to school.”“Sita doesn’t go to school”.Inference: “Ram doesn’t go to school”Which of the following is TRUE?a)Both A and B are correct inferencesb)A is correct but B is not a correct inferenceCorrect Answerc)A is not correct but B is a correct inferenced)Both A and B are not correct inferencesCorrect answer is option 'B'. Can you explain this answer?
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Consider the following logical inferences(A) “If you have a current password, then you can log onto the network.”“You have a current password.”Inference: “You can log onto the network.”(B) “If Sita to go school then Ram will go to school.”“Sita doesn’t go to school”.Inference: “Ram doesn’t go to school”Which of the following is TRUE?a)Both A and B are correct inferencesb)A is correct but B is not a correct inferenceCorrect Answerc)A is not correct but B is a correct inferenced)Both A and B are not correct inferencesCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the following logical inferences(A) “If you have a current password, then you can log onto the network.”“You have a current password.”Inference: “You can log onto the network.”(B) “If Sita to go school then Ram will go to school.”“Sita doesn’t go to school”.Inference: “Ram doesn’t go to school”Which of the following is TRUE?a)Both A and B are correct inferencesb)A is correct but B is not a correct inferenceCorrect Answerc)A is not correct but B is a correct inferenced)Both A and B are not correct inferencesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following logical inferences(A) “If you have a current password, then you can log onto the network.”“You have a current password.”Inference: “You can log onto the network.”(B) “If Sita to go school then Ram will go to school.”“Sita doesn’t go to school”.Inference: “Ram doesn’t go to school”Which of the following is TRUE?a)Both A and B are correct inferencesb)A is correct but B is not a correct inferenceCorrect Answerc)A is not correct but B is a correct inferenced)Both A and B are not correct inferencesCorrect answer is option 'B'. Can you explain this answer?.
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