Logical Connectives problems
- 1. If Rajesh studies, he will pass his exam. Rajesh fails the exam. Which one of the following can be concluded from the above statements?
Options- A. Rajesh studied for the exam
- B. Rajesh did not study for the exam
- C. Rajesh may or may not have studied for the exam (No definite conclusion)
- D. None of these Discuss
Correct Answer: Rajesh did not study for the exam
Explanation:
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.
- 2. Whenever I go in sun I feel headache, which one of the following can be concluded from this?
Options- A. I went in sun so I have headache now.
- B. I didn't go in sun so I don't have headache now.
- C. I m feeling headache that means I went in sun.
- D. None of these Discuss
Correct Answer: I went in sun so I have headache now.
Explanation:
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.
- 3. Ram will either buy a Car or a Flat which one of the following can be concluded from this?
Options- A. Ram bought a Flat so he will not buy a car.
- B. Ram bought a Car so he will not buy a Flat.
- C. Ram did not bought Car so he must have bought Flat.
- D. None of these Discuss
Correct Answer: Ram did not bought Car so he must have bought Flat.
Explanation:
It is the case of "Either X or Y" hence (~ X ? Y) and (~ Y ? X) hence option (C) is correct.
- 4. 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
Options- A. (i) and (iii)
- B. (i) and (iv)
- C. (ii) and (iv)
- D. None of these Discuss
Correct Answer: (i) and (iv)
Explanation:
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)
- 5. 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.
Options- A. (ii) and (iii)
- B. (ii) and (iv)
- C. (iii) and (iv)
- D. None of these Discuss
Correct Answer: (ii) and (iii)
Explanation:
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]
- 6. Unless you study, you can not crack CAT
(i) you cracked CAT
(ii) You could not crack CAT
(iii) You did study
(iv) you didn't study
Options- A. (i) and (iv)
- B. (ii) and (iii)
- C. (iv) and (i)
- D. None of these Discuss
Correct Answer: (ii) and (iii)
Explanation:
This is the case of "unless X, Y" so in this case negation of one statement will be followed by other statement.
- 7. Mobile is charged, if power is off.
(i) mobile is charged
(ii) mobile is not charged
(iii) power is off
(iv) power is not off
Options- A. (i) and (iv)
- B. (ii) and (iii)
- C. (iv) and (i)
- D. None of these Discuss
Correct Answer: None of these
Explanation:
correct combination is (i) and (iii) and also (iv) and (ii)
- 8. Either Susmit is happy or he met his girlfriend.
(i) Susmit is happy
(ii) Susmit is sad
(iii) Susmit met his girlfriend
(iv) Susmit didn't meet his girlfriend.
Options- A. (i) and (iv)
- B. (ii) and (iii)
- C. (iv) and (i)
- D. None of these Discuss
Correct Answer: (iv) and (i)
Explanation:
The correct conclusion should be:
Susmit is sad that means he met with his girlfriend[ii and iii]
Susmit didn't meet his girlfriend so he must be happy [iv and i]
- 9. Unless boss is present employees don't work
(i) Boss is present
(ii) Boss is not present
(iii) Employee work
(iv) Employee don't work
Options- A. (i) and (iv)
- B. (ii) and (iv)
- C. (iv) and (i)
- D. None of these Discuss
Correct Answer: (ii) and (iv)
Explanation:
It is the case of "Unless X , Y" the conclusion is:
Boss is not present means employees don't work. [ii and iv]
Employee work means boss is present. [iii and i]
- 10. If you don't save money you will not get reward.
(i) You saved money
(ii) you didn't save money
(iii) you got reward
(iv) you didn't get reward
Options- A. (i) and (iv)
- B. (ii) and (iii)
- C. (iii) and (i)
- D. None of these Discuss
Correct Answer: (iii) and (i)
Explanation:
This is the case of If X then Y the conclusion should be:
You don't saved money means you will not get reward. [ii and iv]
You got reward means you saved money. [iii and i]
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