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.
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. Correct Answer Only conclusion I follows.
The least possible Venn diagram for the given statements will be as follows:
[ alt="F1 Savita SSC 24-5-22 D29" src="//storage.googleapis.com/tb-img/production/22/05/F1_Savita_SSC_24-5-22_D29.png" style="height: 97px; width: 289px;">
Conclusion:
I. Some dancers are girls → True (As given all girls are dancers. So some parts of girls will be definitely dancers.)
II. Some players are boys → False (As No boy is a player. Hence, this statement is not valid.)
III. Some dancers are players → False (There is no direct relation given between dancers and players so it can be possible but a definite conclusion is not true.)
Hence, "Only conclusion I follows" is the correct answer.