Below are given statements. 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 follows from the given statements.

Statements:
I. All rats are hills.
II. All hills are rivers.

Conclusions:
A. Some rivers are rats
B. No river is a hill
C. All hills are rats
D. No river is a rat

Some rivers are rats

No river is a hill

All hills are rats

No river is a rat

APEDIA

NTPC Graduate Tier 1

2016 • 02 Apr, 2016 • Shift 2

Below are given statements. 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 follows from the given statements.

Statements:
I. All rats are hills.
II. All hills are rivers.

Conclusions:
A. Some rivers are rats
B. No river is a hill
C. All hills are rats
D. No river is a rat

Correct Answer

Some rivers are rats

Venn Diagram Construction: Draw a circle representing 'rats' entirely inside a larger circle representing 'hills'. Then, draw the 'hills' circle entirely inside......

💡 Analysis & Explanation

Venn Diagram Construction ▼

Draw a circle representing 'rats' entirely inside a larger circle representing 'hills'. Then, draw the 'hills' circle entirely inside an even larger circle representing 'rivers'.

Conclusion Validation ▼

Because the 'rats' circle is nested deeply within the 'rivers' circle, it implies all rats are rivers. Consequently, a portion of the 'rivers' category is occupied by 'rats', making 'Some rivers are rats' logically valid.

Option Elimination ▼

Conclusion B and D are negative statements that contradict our positive overlap. Conclusion C is invalid because the outer circle (hills) does not completely fit into the inner circle (rats).

Conclusion ▼

Therefore, only conclusion A follows.

Choose Language

See you soon!