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In the following question are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statement. Statements: I. All pens are pencils. II. No pencil is eraser. III. Some cups are erasers. Conclusions: I. Some cups are not pencils. II. Some cups are not pens. III. Some pencils are not cups. IV. No pen is eraser.

In the following question are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statement. Statements: I. All pens are pencils. II. No pencil is eraser. III. Some cups are erasers. Conclusions: I. Some cups are not pencils. II. Some cups are not pens. III. Some pencils are not cups. IV. No pen is eraser. Correct Answer Only conclusion (I), (II) and (IV) follow

The possible Venn diagram:

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Explanation:

I. Some cups are not pencils → It's true. (Part of cup that is eraser is not pencil)

II. Some cups are not pens → It's true. P(art of cup that is eraser is not pen)

III. Some pencils are not cups → False (It is possible but not definite)

IV. No pen is eraser → It's true. (As no pencil is an eraser, Pen is part of the pencil so no pen is eraser)

Thus, only conclusion I, II and IV follow.

Related Questions

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. Some pens are pencils. II. All pencils are erasers. III. Some erasers are cups. Conclusions: I. Some pens are cups. II. Some pencils are cups. III. Some cups are pencils. IV. Some erasers are pens.
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In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some pens are pencils.
II. All pencils are erasers.

Conclusions:

I. Some pens are erasers.
II. No pens are erasers.
III. Some erasers are pencils
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In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. Some pens are pencils. II. Some pens are erasers. Conclusions:  I. Some pencils are erasers. II. All erasers are pens.
In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem tobe at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. Some pens are erasers.
Conclusions:
I. Some pencils are erasers.
II. All erasers are pens.