Question:
Take the given statements to be true even if they seem to be at variance from commonly known facts. Which conclusion would follow on the basis
of given statements.
Statement:
'Some bags are purses',
'All purses are containers' and
'All containers are suitcases'.
Conclusions:
(A) Some suitcases are bags
(B) All purses are bags
(C) All purses are suitcases
(D) Some containers are purses
Choose the correct answer from the options given below:
Take the given statements to be true even if they seem to be at variance from commonly known facts. Which conclusion would follow on the basis
of given statements.
Statement:
'Some bags are purses',
'All purses are containers' and
'All containers are suitcases'.
Conclusions:
(A) Some suitcases are bags
(B) All purses are bags
(C) All purses are suitcases
(D) Some containers are purses
Choose the correct answer from the options given below:
of given statements.
Statement:
'Some bags are purses',
'All purses are containers' and
'All containers are suitcases'.
Conclusions:
(A) Some suitcases are bags
(B) All purses are bags
(C) All purses are suitcases
(D) Some containers are purses
Choose the correct answer from the options given below:
Updated On: Jan 13, 2026
- (A), (B) and (C) only
- (B) and (D) only
- (A) and (C) only
- (A), (C) and (D) only
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The Correct Option is D
Solution and Explanation
To solve the problem, we will analyze the logical structure of the given statements and evaluate which conclusions logically follow from them.
Statements:
- Some bags are purses.
- All purses are containers.
- All containers are suitcases.
Analysis:
- From the second statement, 'All purses are containers,' we can infer that the category "purses" is entirely included within the category "containers."
- From the third statement, 'All containers are suitcases,' it can be deduced that the category "containers" is entirely within the category "suitcases."
Breaking down each conclusion:
(A) Some suitcases are bags
- The first statement 'Some bags are purses' indicates that there is an intersection between bags and purses. Since all purses are containers and all containers are suitcases, some part of bags is included within suitcases.
- Thus, conclusion (A) logically follows.
(B) All purses are bags
- This is incorrect because the statement 'Some bags are purses' does not imply that all purses are bags; only a part of purses can be bags.
(C) All purses are suitcases
- From the statements 'All purses are containers' and 'All containers are suitcases,' we can deduce that all purses must also be suitcases.
- Thus, conclusion (C) logically follows.
(D) Some containers are purses
- From the statement 'All purses are containers,' it implies that purses are a subset of containers.
- Thus, there is surely an intersection, and this conclusion logically follows.
Correct Answer:
(A), (C) and (D) only
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