Based on the given figure, following conclusions are drawn. Identify the true…
2016
Based on the given figure, following conclusions are drawn. Identify the true conclusion(s).
(I) All boys are sons. (II) Some graduates are post graduates. (III) Some boys are graduates. (IV) Some post graduates are boys.
- A.
(II), (III) and (IV) are true
- B.
(III) and (IV) are true
- C.
(I) and (III) are true
- D.
(I), (II) and (III) are true
Attempted by 129 students.
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Correct answer: A
Answer: The true statements are: some graduates are postgraduates; some boys are graduates; and some postgraduates are boys.
Observation: The sons circle is entirely inside the boys circle.
Consequence: Not all boys are sons. The diagram shows sons are a subset of boys, so the statement that all boys are sons is false.
Observation: The postgraduates circle is fully inside the graduates circle.
Consequence: There are graduates who are postgraduates, so the statement that some graduates are postgraduates is true.
Observation: The boys circle and the graduates circle overlap, and the postgraduates circle overlaps with the boys area.
Consequence: Some boys are graduates, and some postgraduates are boys; both statements are therefore true.
Final conclusion: The true statements are 'some graduates are postgraduates', 'some boys are graduates', and 'some postgraduates are boys'. The statement 'all boys are sons' is false.