Question 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?

Accepted Answer

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.

Question 2

Whenever I go in sun I feel headache, which one of the following can be concluded from this?

Accepted Answer

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.

Question 3

Ram will either buy a Car or a Flat which one of the following can be concluded from this?

Accepted Answer

It is the case of "Either X or Y" hence (~ X → Y) and (~ Y → X) hence option (C) is correct.

Question 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

Accepted Answer

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)

Question 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.

Accepted Answer

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]

Question 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

Accepted Answer

This is the case of "unless X, Y" so in this case negation of one statement will be followed by other statement.

Question 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

Accepted Answer

correct combination is (i) and (iii) and also (iv) and (ii)

Question 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.

Accepted Answer

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]

Question 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

Accepted Answer

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]

Question 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

Accepted Answer

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]

Question 11

Either Sam is ill, or he is drunk. A. Sam is ill. B. Sam is not ill. C. Sam is drunk. D. Sam is not drunk.

Accepted Answer

Sam is not drunk, so he must be ill.

Question 12

Whenever Ram hears of a tragedy, he loses sleep. A. Ram heard of a tragedy. B. Ram did not hear of a tragedy. C. Ram lost sleep. D. Ram did not lose sleep.

Accepted Answer

As Ram did not lose sleep, means he did not hear of the tragedy.

Question 13

Either the train is late, or it has derailed. A. The train is late. B. The train is not late. C.The train is derailed. D. The train is not derailed.

Accepted Answer

The train is not late, so it must have derailed.

Question 14

When I read a horror story I have a nightmare. A. I read a story. B. I did not read a horror story. C. I did not have a nightmare. D. I had a nightmare.

Accepted Answer

I did not have a nightmare, so I must not have read a horror story.

Question 15

When I eat berries I get rashes. A. I ate berries. B. I did not get rashes. C. I did not eat berries. D. I got rashes.

Accepted Answer

I did not get rashes which means I did not eat berries.

Question 16

Either Sita is sick or she is careless. A. Sita is not sick. B. Sita is not careless. C. Sita is sick.. D. Sita is careless.

Accepted Answer

If Sita is not sick, means she is careless.

Question 17

Ram gets a swollen nose whenever he eats hamburgers. A. Ram gets a swollen nose. B. Ram does not eat hamburgers. C. Ram does not get a swollen nose. D. Ram eats hamburgers.

Accepted Answer

Ram does not eat hamburgers, means he does not get a swollen nose.

Question 18

Either the employees have no confidence in the management or they are hostile by nature. A. They are not hostile by nature. B. They are hostile by nature. C. They have confidence in the management. D. They have no confidence in the management.

Accepted Answer

If the employees have confidence in the management, it follows that they are hostile.

Question 19

Whenever Ram reads late into the night, his father beats him. A. His father does not beat Ram. B. Ram reads late into the night. C. Ram reads early in the morning. D. Ram's father beats him in the morning.

Accepted Answer

None of the given options relates logically to the given statements.

Question 20

All irresponsible parents shout if their children do not cavort. A. All irresponsible parents do not shout. B. Children cavort. C. Children do not cavort. D. All irresponsible parents shout.

Accepted Answer

As all irresponsible parents do not shout, it follows that the children cavort.

Logical Connectives Questions