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: All combs are scales. Some routers are combs. All gloves are routers. Conclusions: I. All gloves are scales. II. Some gloves are scales. III. Some scales are routers. IV. All routers are scales.
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: All combs are scales. Some routers are combs. All gloves are routers. Conclusions: I. All gloves are scales. II. Some gloves are scales. III. Some scales are routers. IV. All routers are scales. Correct Answer Only conclusion III follows.
The least possible Venn diagram is:
[ alt="F1 Chitranshi Ravi 30.09.2021 D25" src="//storage.googleapis.com/tb-img/production/21/09/F1_Chitranshi_Ravi_30.09.2021_D25.png" style="width: 191px; height: 129px;">
Conclusions:
I. All gloves are scales. → False (As, there is no definite relation between gloves and scales. Hence, false)
II. Some gloves are scales. → False (As, there is no definite relation between gloves and scales. Hence, false)
III. Some scales are routers. → True (All combs are scales and Some routers are combs → Some scales are routers)
IV. All routers are scales. → False (All combs are scales and Some routers are combs → Some routers are scales)
Hence, only conclusion III follows.