Logical Connectivity
- If Rajesh studies, he will pass his exam. Rajesh fails the exam. Which one of the following can be concluded from the above statements?
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Let X the event that Rajesh studies for the exam. and Y the event that Rajesh passes the exam. We have been given the information that X → Y.
Thus ~ Y ~X. means if Ram failed the exam, he did not study for it.Correct Option: B
Let X the event that Rajesh studies for the exam. and Y the event that Rajesh passes the exam. We have been given the information that X → Y.
Thus ~ Y ~X. means if Ram failed the exam, he did not study for it.
- Whenever I go in sun I feel headache, which one of the following can be concluded from this?
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The given statement is: Whenever I go in sun I feel headache. Here let us assume that X is "I go in sun" and Y is "I have headache"
Then situation is "Whenever X then Y" and implications in this is (X → Y) and (~ Y → → X), now lets check options one by one
Option (a) I went in sun so I have headache now. (X → Y) its right conclusion.
Option (b) I didn't go in sun so I don't have headache now.(~ X → Y) it can not be concluded
Option (c) I m feeling headache that means I went in sun. (Y → X), it can not be concluded.Correct Option: A
The given statement is: Whenever I go in sun I feel headache. Here let us assume that X is "I go in sun" and Y is "I have headache"
Then situation is "Whenever X then Y" and implications in this is (X → Y) and (~ Y → → X), now lets check options one by one
Option (a) I went in sun so I have headache now. (X → Y) its right conclusion.
Option (b) I didn't go in sun so I don't have headache now.(~ X → Y) it can not be concluded
Option (c) I m feeling headache that means I went in sun. (Y → X), it can not be concluded.
- Ram will either buy a Car or a Flat which one of the following can be concluded from this?
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It is the case of "Either X or Y" hence (~ X → Y) and (~ Y → X) hence option (C) is correct.
Correct Option: C
It is the case of "Either X or Y" hence (~ X → Y) and (~ Y → X) hence option (C) is correct.
Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.
- The teacher gives a break, only if students are exhausted.
(i) The teacher gives break
(ii) The teacher did not give a break
(iii) Students are not exhausted
(iv) Students are exhausted
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The conclusion can be: The teacher gives break means Students are exhausted (as given in i and iv) Students are not exhausted hence teacher will not give a break (as given in ii and iii)
Correct Option: B
The conclusion can be: The teacher gives break means Students are exhausted (as given in i and iv) Students are not exhausted hence teacher will not give a break (as given in ii and iii)
- Either CAT is tough or IIT JEE is easy
(i) CAT is tough
(ii) CAT is Easy
(iii) IIT JEE is easy
(iv) IIT JEE is tough.
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This is the case of either X or Y the conclusion should be:
CAT is not tough (means Easy) then IIT JEE is Easy [as given in ii and iii)
IIT JEE is tough then CAT is tough [ as given in iv and i]Correct Option: A
This is the case of either X or Y the conclusion should be:
CAT is not tough (means Easy) then IIT JEE is Easy [as given in ii and iii)
IIT JEE is tough then CAT is tough [ as given in iv and i]
