Two statements are given followed by four conclusions I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements.
Statements:
A. Some sharpeners are pencils.
B. Some pencils are mats.
Conclusions:
I. No sharpener is a mat.
II. Some mats are pencils.
III. Some mats are sharpeners.
IV. No pencil is a sharpener.

Correct option is A

​Statements:
A. Some sharpeners are pencils.
B. Some pencils are mats.

​Conclusions:
I. No sharpener is a mat - False - there is not negative statement is given between them.
II. Some mats are pencils - True - some part is common of them.
III. Some mats are sharpeners - False - some part of them are not common.
IV. No pencil is a sharpener - False - there is not negative statement is given between them.

Only II is true

but

in I and III (some + no) relation between two same words will given either II or III be true

so Only II and Either I and III is true.

option a is correct.

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