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Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly know facts, decide which of the conclusions logically follow(s) from the statements. Statements: All wires are motors. All motors are pumps. Conclusions: i. All wires are pumps. ii. Some motors are wires.

Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly know facts, decide which of the conclusions logically follow(s) from the statements. Statements: All wires are motors. All motors are pumps. Conclusions: i. All wires are pumps. ii. Some motors are wires. Correct Answer Both the conclusions i and ii follow

The possible Venn diagram for the given statements is as follows-

[ alt="F1 Chitranshi nikhil 20-3-2021 D1" src="//storage.googleapis.com/tb-img/production/21/03/F1_Chitranshi_nikhil_20-3-2021_D1.png" style="width: 203px; height: 146px;">

Conclusions:

i. All wires are pumps.→ True(As all wires are motors and all motors are pumps, imply that all wires are pumps.)

ii. Some motors are wires.→ True (As All wires are motors. So, some motors are definitely wires.) 

Thus, both conclusions i and ii follows.

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