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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. 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.

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. Correct Answer Only conclusion (IV) follows

The least possible Venn diagram for the given statements is as follows,

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Conclusion:

I) Some pens are cups → It is possible but not definite, hence false.

II) Some pencils are cups → It is possible but not definite, hence false.

III) Some cups are pencils → It is possible but not definite, hence false.

IV) Some erasers are pens → As some pens are pencils, and all pencils are erasers, some pens will definitely be the pens.

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.

Conclusions:

I. Some pens are erasers.
II. No pens are erasers.
III. Some erasers are pencils
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. 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 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: No pen is a pencil. No eraser is a cup. All pencils are erasers. Conclusions: I. Some pens are not erasers. II. Some erasers are not pens. III. No pencil is a cup. IV. Some erasers are cups.
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.
In each of the following question below are given some statements followed by some conclusion, 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, 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. All pages are yellow. II. All yellow are newspapers. III. Some newspapers are national. Conclusions: I. Some national are yellow II. Some newspapers are pages. III. No page is national.
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. All cups are glasses. II. Some cups are pens. Conclusions: I. Some pens are cups. II. Some pens are glasses. III. Some pens are not cups.
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