Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

Statements:
A. Some fruits are vegetables.
B. All vegetables are plants.

Conclusions:
I. Some plants are vegetables.
II. Some fruits are plants.

Only conclusion I follows

Only conclusion II follows

Both I and II follow

Neither of them follows

APEDIA

RRB NTPC Graduate Tier 1

2016 • 02 Apr, 2016 • Shift 2

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

Statements:
A. Some fruits are vegetables.
B. All vegetables are plants.

Conclusions:
I. Some plants are vegetables.
II. Some fruits are plants.

Correct Answer

Both I and II follow

Venn Diagram Construction: First, draw overlapping circles for 'fruits' and 'vegetables' to represent 'Some fruits are vegetables'. Next, draw a larger circle r......

💡 Analysis & Explanation

Venn Diagram Construction ▼

First, draw overlapping circles for 'fruits' and 'vegetables' to represent 'Some fruits are vegetables'. Next, draw a larger circle representing 'plants' that completely engulfs the 'vegetables' circle to signify 'All vegetables are plants'.

Conclusion I Validation ▼

Since the 'plants' circle completely encompasses the 'vegetables' circle, it is an undeniable fact that a section of plants are vegetables. Conclusion I follows.

Conclusion II Validation ▼

The 'fruits' circle intersects with the 'vegetables' circle. Because all vegetables sit inside the 'plants' circle, that intersection point also inevitably falls inside the 'plants' circle. Thus, some fruits are definitely plants. Conclusion II follows.

Conclusion ▼

Both logical deductions are mathematically sound and correct.

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