HomeTestsSearchRankProfile
mediumMCQSSC CGL2026Reasoning
1 mark

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:

Some diamonds are stones.

Some stones are hard.

All hard are rocks.

Conclusions:

I. Some stones are diamonds.

II. All stones are hard.

III. Some hard are rocks.

  1. A
    All the conclusions follow
  2. B
    Only conclusions I and II follow
  3. C
    Only conclusions II and III follow
  4. D
    Only conclusions I and III follow

Solution & Step-by-step Explanation

Let's test each conclusion based on the given statements:
Conclusion I: Some stones are diamonds.
From statement 1: "Some diamonds are stones." Its immediate converse is "Some stones are diamonds." Therefore, this conclusion follows.

Conclusion II: All stones are hard.
From statement 2: "Some stones are hard." We cannot infer that all stones are hard. Therefore, this conclusion does not follow.

Conclusion III: Some hard are rocks.
From statement 3: "All hard are rocks." Since the entire set of 'hard' items is inside 'rocks', any subset of 'hard' items is also a part of 'rocks'. Hence, "Some hard are rocks" follows.

Thus, only conclusions I and III follow.

Practice this question

Try it yourself before checking the explanation above.

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:

Some diamonds are stones.

Some stones are hard.

All hard are rocks.

Conclusions:

I. Some stones are diamonds.

II. All stones are hard.

III. Some hard are rocks.
A
All the conclusions follow
B
Only conclusions I and II follow
C
Only conclusions II and III follow
D
Only conclusions I and III follow

Share This Question

Related Questions

Ready for a Full Test?

Practice with timed mock tests and track your performance across Reasoning.

Discussion