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Question : Directions: For the Venn diagram given below, which of the following conclusions is true?

I. Some captains are painters.
II. Some Lieutenants are painters.
III. All majors are soldiers.
IV. All captains are soldiers.
V. All soldiers are painters.

Option 1: Only I and IV follow

Option 2: Only I, III, and IV follow

Option 3: Only II, IV, and V follow

Option 4: Only III and IV follow


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: Only III and IV follow


Solution : Given:

Let's analyse the conclusions –
Conclusion (I): Some captains are painters – From the given Venn diagram, it is evident that there is no direct relation between captains and painters. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II): Some Lieutenants are painters – From the given Venn diagram, it is evident that there is no direct relation between lieutenants and painters. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (III): All Majors are Soldiers – From the given Venn diagram, it is evident that the circle that represents majors lies inside the circle that represents soldiers. From this, it can be concluded that all majors are soldiers. Thus, this conclusion follows.
Conclusion (IV): All Captains are Soldiers – From the given Venn diagram, it is evident that the circle that represents captains lies inside the circle that represents soldiers. From this, it can be concluded that all captains are soldiers. Thus, this conclusion follows.
Conclusion (V): All Soldiers are Painters – From the given Venn diagram, it is evident that some part of the circle that represents soldiers lies inside the circle that represents painters while some lie outside. From this, it can be concluded that some soldiers are painters. Thus, this conclusion does not follow.

So, only the conclusions III and IV follow. Hence, the fourth option is correct.

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