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Logical Deduction Questions

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11 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
No women teacher can play.
Some women teachers are athletes.

Conclusions:
I. Male athletes can play.
II. Some athletes can play.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option D

Explanation:

Since one premise is negative, the conclusion must be negative. So, neither conclusion follows.

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SHSTTON
1
Solv. Corr.
13
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14
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12 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All bags are cakes.
All lamps are cakes.

Conclusions:
I. Some lamps are bags.
II. No lamp is bag.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option C

Explanation:

Since the middle term 'cakes' is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.

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SHSTTON
5
Solv. Corr.
7
Solv. In. Corr.
12
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13 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
No gentleman is poor.
All gentlemen are rich.

Conclusions:
I. No poor man is rich.
II. No rich man is poor.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option D

Explanation:

The first premise is an E-type proposition, So, the middle term 'gentleman' forming the subject is distributed. The second premise is an A-type proposition. So, the middle term 'gentlemen' forming the subject is distributed. Since the middle term is distributed twice, the conclusion cannot be universal. Since one premise is negative, the conclusion must be negative. Thus, it follows that 'Some rich men are not poor'. Thus, neither I nor II follows.

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SHSTTON
1
Solv. Corr.
9
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10
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14 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
Some swords are sharp.
All swords are rusty

Conclusions:
I. Some rusty things are sharp.
II. Some rusty things are not sharp.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option A

Explanation:

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, I follows. Since both the premises are affirmative, the conclusion cannot be negative. Thus, II does not follow.

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SHSTTON
8
Solv. Corr.
3
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11
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15 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All fishes are grey in colour.
Some fishes are heavy.

Conclusions:
I. All heavy fishes are grey in colour.
II. All light fishes are not grey in colour.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option A

Explanation:

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some heavy things are grey in colour'. I is a cumulative result of this conclusion and the first premise. Thus, only I holds

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SHSTTON
3
Solv. Corr.
8
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11
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16 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All good athletes win.
All good athletes eat well.

Conclusions:
I. All those who eat well are good athletes.
II. All those who win eat well.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option D

Explanation:

Since the middle term 'good athletes' is distributed twice in the premises, the conclusion must be particular and should not contain the middle term. So it follows that 'Some of those who win, eat well'.

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SHSTTON
4
Solv. Corr.
5
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9
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17 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
Some dreams are nights.
Some nights are days.

Conclusions:
I. All days are either nights or dreams.
II. Some days are nights.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option B

Explanation:

Since both the premises are particular, no definite conclusion follows. However, II is the converse of the second premise and thus it holds.

Workspace

NA
SHSTTON
1
Solv. Corr.
5
Solv. In. Corr.
6
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18 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All jungles are tigers.
Some tigers are horses.

Conclusions:
I. Some horses are jungles.
II. No horse is jungle.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option C

Explanation:

Since the middle term 'tigers' is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.

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SHSTTON
2
Solv. Corr.
5
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7
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19 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All poles are guns.
Some boats are not poles.

Conclusions:
I. All guns are boats.
II. Some boats are not guns


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option D

Explanation:

Clearly, the term 'guns' is distributed in both the conclusions without being distributed in any of the premises. So, neither conclusion follows.

Workspace

NA
SHSTTON
3
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3
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6
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20 / 40

Choose the option derived from the conclusions, which logically follows from the two given statements.

Statements:
All birds are tall.
Some tall are hens.

Conclusions:
I. Some birds are hens.
II. Some hens are tall.


AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Answer: Option B

Explanation:

Since the middle term 'tall' is not distributed even once in the premises, no definite conclusion follows. However, II is the converse of the second premise and so it holds.

Workspace

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