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 rectangles are trapezium.
All trapeziums are parallelogram.
No parallelogram is circle.
Conclusions:
I) No rectangle is circle.
II) No trapezium is circle.
III) All rectangles are parallelogram.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 1 i.e. All conclusion I, II and III.
The least possible venn diagram is:
Conclusions:
I) No rectangle is circle. → Follow (As all rectangles are trapezium, all trapeziums are parallelogram and no parallelogram is circle. so, definitely no rectangle is circle.)
II) No trapezium is circle. → Follow (As all trapeziums are parallelogram and no parallelogram is circle so, definitely no trapezium is circle.)
III) All rectangles are parallelogram. → Follow (As all rectangles are trapezium and all trapeziums are parallelogram so, definitely all rectangles are parallelogram.)