Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some handkerchiefs are plastics. All clothes are handkerchiefs. All utensils are clothes. Conclusions: I. Some plastics are handkerchiefs. II. All utensils are plastics. III. Some handkerchiefs are utensils.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some handkerchiefs are plastics. All clothes are handkerchiefs. All utensils are clothes. Conclusions: I. Some plastics are handkerchiefs. II. All utensils are plastics. III. Some handkerchiefs are utensils. Correct Answer Only Conclusions I and III follow.

The least possible Venn diagram for the given statements is as shown below :-

[ alt="F2 Savita SSC 16-6-22 D23" src="//storage.googleapis.com/tb-img/production/22/06/F2_Savita_SSC_16-6-22_D23.png" style="width: 255px; height: 164px;">

Conclusions:

I. Some plastics are handkerchiefs → True (As Some handkerchiefs are plastics so, Some plastics are handkerchiefs is true)

II. All utensils are plastics → False (As All utensils are clothes and All clothes are handkerchiefs and Some handkerchiefs are plastics so, All utensils are plastics is false)

III. Some handkerchiefs are utensils → True (As All utensils are clothes and All clothes are handkerchiefs so, Some handkerchiefs are utensils is true)

∴ Here, Conclusions I and III are true.

Hence, the correct answer is "Only Conclusions I and III follow".

Related Questions