Statements: All pens are pencils. Some pencils are erasers. Conclusions: I. Some pens are erasers. II. All pencils are pens. III. Some erasers are pencils. Which conclusion follows? MCQ with Answer and Explanation

Statements: All pens are pencils. Some pencils are erasers. Conclusions: I. Some pens are erasers. II. All pencils are pens. III. Some erasers are pencils. Which conclusion follows?
A. Only III
B. Both I and II
C. None
D. Only I
Answer: Option A
Solution (By JKSSB Mock Tests)
From 'Some pencils are erasers' we can convert it to 'Some erasers are pencils'. Conclusion I does not follow because pens may be among pencils that are not erasers.

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Practice More Mental Reasoning Questions

Question #1
Statements: Some fruits are apples. All apples are mangoes. Conclusions: I. Some mangoes are fruits. II. Some fruits are mangoes. Which conclusion(s) follow(s)?
A. Only I follows
B. Only II follows
C. Neither I nor II follows
D. Both I and II follow

Correct Answer: Option D


Explanation:
Some fruits are apples + All apples are mangoes gives 'Some fruits are mangoes'. Converse gives 'Some mangoes are fruits'. Thus both follow.

This question belongs to: Reasoning Mental Reasoning
Question #2
Statements: All red are blue. Some blue are green. No green is yellow. Conclusions: I. Some red are green. II. Some blue are not yellow. III. All red are green. Which conclusion follows?
A. None
B. Only III
C. Only II
D. Only I and II

Correct Answer: Option C


Explanation:
Some blue are green and no green is yellow, so those blue items are not yellow. Hence some blue are not yellow follows. I and III cannot be inferred.

This question belongs to: Reasoning Mental Reasoning
Question #3
A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. A is second to the right of E who is the neighbour of F and G. D is not neighbour of A. B is neighbour of H. What is the position of C?
A. Cannot be determined
B. Third to the right of F
C. Immediate left of D
D. Second to the left of B

Correct Answer: Option A


Explanation:
Multiple possible arrangements; position of C is not uniquely fixed.

This question belongs to: Reasoning Mental Reasoning