Logical Connectivity – Questions with
Solutions
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?
Rajesh studied for the exam
Rajesh did not study for the exam
Rajesh may or may not have studied for the exam (No definite
conclusion)
None of these
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.
2. Whenever I go in sun I feel headache, which one of the
following can be concluded from this?
1.
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
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 let’s 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
cannot be concluded
Option (c) I m feeling headache that means I went in sun. (Y → X), it
cannot be concluded.
3. Ram will either buy a Car or a Flat which one of the following can be
concluded from this?
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
Correct Option: C
It is the case of "Either X or Y" hence (~ X → Y) and (~ Y → X) hence
option (C) is correct.
4. he 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
A. (i) and (iii)
B. (i) and (iv)
C. (ii) and (iv)
D. None of these
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)
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.
A. (ii) and (iii)
B. (ii) and (iv)
C. (iii) and (iv)
D. None of these
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]
6. Unless you study, you cannot crack CAT
(i)you cracked CAT
(ii) You could not crack CAT
(iii) You did study
(iv) you didn't study
A. (i) and (iv)
B. (ii) and (iii)
C. (iv) and (i)
D. None of these
Correct Option: B
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
A. (i) and (iv)
B. (ii) and (iii)
C. (iv) and (i)
D. None of these
Correct Option: D
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.
A. (i) and (iv)
B. (ii) and (iii)
C. (iv) and (i)
D. None of these
Correct Option: C
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
A. (i) and (iv)
B. (ii) and (iv)
C. (iv) and (i)
D. None of these
Correct Option: B
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
A. (i) and (iv)
B. (ii) and (iii)
C. (iii) and (i)
D. None of these
Correct Option: C
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]
