Question
Download Solution PDFThree statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow/s from the given statements.
Statements :
Few chips are cakes.
All cakes are ice creams.
All ice creams are sweets.
Conclusions :
(I) Some sweets are cakes.
(II) Some ice creams are cakes.
(III) All cakes are sweets.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. Some sweets are cakes → Follow (As all cakes are ice creams and all ice creams are sweets. So, as whole cakes comes in ice creams which whole comes in sweets therefore some sweets are cakes is definitely true)
II. Some ice creams are cakes → Follow (As all cakes are ice creams. So, as whole cakes comes in ice creams therefore some ice creams are cakes is definitely true)
III. All cakes are sweets → Follow (As all cakes are ice creams and all ice creams are sweets. So, as whole cakes comes in ice creams which whole comes in sweets therefore all cakes are sweets is definitely true)
∴ Here, All conclusions I, II and III follow.
Hence, the correct answer is "All conclusions I, II and III follow"
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