Two statements are given, followed by four conclusions numbered I, II, III, IV. 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: 1. No rat is a jar. 2. All jars are gloves. Conclusions: I. No rat is a glove. II. No glove is a rat. III. Some gloves are jars. IV. All gloves are jars.
Two statements are given, followed by four conclusions numbered I, II, III, IV. 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: 1. No rat is a jar. 2. All jars are gloves. Conclusions: I. No rat is a glove. II. No glove is a rat. III. Some gloves are jars. IV. All gloves are jars. Correct Answer Only conclusion III follows
The least possible Venn diagram for the given statements is as below,
[ alt="F3 Savita SSC 19-5-22 D1 V2" src="//storage.googleapis.com/tb-img/production/22/05/F3_Savita_SSC_19-5-22_D1_V2.png" style="width: 190px; height: 86px;">
Conclusions:
I. No rat is a glove → False (As there is a direct relationship between the jar and rat but no direct relation with gloves. So, the part of the jar that is gloves is not a rat, and the best part of the jar is not considered.)
II. No glove is a rat → False (As there is a direct relationship between the jar and rat but no direct relation with gloves. So, the part of the jar that is gloves is not a rat, and the best part of the jar is not considered)
III. Some gloves are jars → True (As All jars are gloves. So, Some gloves are jars)
IV. All gloves are jars → False (As All jars are gloves. So, All gloves are jars is not true)
Hence, the correct answer is "Only conclusion III follows".