Bissoy.com
Doctors Medicines MCQs Q&A

Three statements are given followed by four conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. Some women can cook well. 2. All women who can cook well are dancers. 3. Some dancers are players. Conclusions: I. No dancer can cook well. II. No dancer is a woman. III. Some players are women. IV. No player is a woman.

Three statements are given followed by four conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. Some women can cook well. 2. All women who can cook well are dancers. 3. Some dancers are players. Conclusions: I. No dancer can cook well. II. No dancer is a woman. III. Some players are women. IV. No player is a woman. Correct Answer Either conclusion III or IV follows.

The least possible Venn diagram for given statements is as follows :-

Case (i) :

[ alt="F2 Shraddha SSC 24.03.2022 D16" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D16.png" style="width: 273px; height: 142px;">

Case (ii) :

[ alt="F2 Shraddha SSC 24.03.2022 D17" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D17.png" style="width: 221px; height: 250px;">

Conclusions:

I. No dancer can cook well → False (As All women who can cook well are dancers so, No dancer can cook well is false)

II. No dancer is a woman → False (As Some women can cook well and All women who can cook well are dancers so, No dancer is a woman is false)

III. Some players are women → True (As Some dancers are players and All women who can cook well are dancers so, Some players are women possibility is true as shown below)

Case (i) :

[ alt="F2 Shraddha SSC 24.03.2022 D18" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D18.png" style="width: 243px; height: 186px;">

Case (ii) :

[ alt="F2 Shraddha SSC 24.03.2022 D19" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D19.png" style="width: 219px; height: 224px;">

IV. No player is a woman → True (No player is a woman possibility is true as shown below)

Case (i) :

[ alt="F2 Shraddha SSC 24.03.2022 D20" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D20.png" style="width: 272px; height: 141px;">

Case (ii) :

[ alt="F2 Shraddha SSC 24.03.2022 D21" src="//storage.googleapis.com/tb-img/production/22/03/F2_Shraddha_SSC_24.03.2022_D21.png" style="width: 218px; height: 253px;">

Conclusion III and IV form a complimentary pair.

Hence, the correct answer is "Either conclusion III or IV follows".

Related Questions

Three statements are given, followed by three conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. All girls are dancers. 2. Some dancers are boys. 3. No boy is a player. Conclusions: I. Some dancers are girls. II. Some players are boys. III. Some dancers are players. 
In each of the following question below are given some statements followed by some conclusion, Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements, seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements, Statements: I. All pages are yellow. II. All yellow are newspapers. III. Some newspapers are national. Conclusions: I. Some national are yellow II. Some newspapers are pages. III. No page is national.
In the question below are given four statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Woman are Man. Some Woman are March. All March are April. No March is Sunday. Conclusions: I. Some Woman are April. II. Some March are Man. III. Some April are Sunday
In the question below are given four statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Woman are Man. Some Woman are March. All March are April. No March is Sunday. Conclusions: I. Some Woman are April. II. Some March are Man.
In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Chair are Fan. All Fan are Cushion. Some Cushion are Fruit. All Fruit are Lamp. Conclusions: I. Some Lamp are Fan. II. Some Fruit are Chair. III. Some Cushion are Lamp.                                       IV. All Chair are Cushion.
In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Bag is Pouch Some Bag is Curtain No Curtain is Cloth Some Pouch is Floor Conclusions:  (I) Some Pouch are not Cloth (II) All Floor can be Curtain (III) All Pouch are Bag (IV) Some Cloth can be Pouch
Three statements are given followed by three conclusions numbered I, Il and Ill. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All engineers are doctors. All doctors are lawyers. No lawyer is a dancer. Conclusions: I. No doctor is a dancer. Il. No engineer is dancer, Ill. Some lawyers are engineers.
In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: Some Train are Bus. All Bus are Branch. All Branch are Net. Some Net are Dress. Conclusions:                                                                                                     I. Some Dress are Bus.                                                  II. Some Net are Train.                                    III. Some Branch are Train.                                                                               IV. Some Dress are Train. 
In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements:  Some Technology is Electronics All Electronics is Mechanics No Mechanics is Civil Some Civil is Computer Conclusions:  I. Some Mechanics is Technology II. Some Computer is not Electronics III. All Technology can never be Civil IV. All Mechanics are Technology
In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: Some Hospital is Restaurant Some Restaurant is not Hotel Some Hotel is Tower All Tower is Spa Conclusions:  I. All Hospital can be Spa II. Some Restaurant are Tower III. No Restaurant is Tower IV. Some Spa is definitely Hotel