# Logical Deduction Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Logical Deduction. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 1 - Statements: No lady teacher can play. Some lady teachers are sportsperson.

Conclusions:

I. Male sportsperson can play.

II. Some sportsperson can play.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Since one statement is not positive, the conclusion must not be positive. So, none of the conclusions is valid.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 2 - Statements: All hill stations have a stiff. X is a hill station.

Conclusions:

I. X has a stiff.

II. Places other than hill stations do not have stiffs.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Since both the statements are broad and affirmative, the conclusion must be broad and affirmative and should not contain the intermediate term. So, only I is valid.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 3 - Statements: All poles are pillars. Some boats are not poles.

Conclusions:

I. All pillars are boats.

II. Some boats are not pillars.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Clearly, the term 'pillars' is distributed in both the conclusions without being distributed in any of the statements. So, none of the conclusions is valid.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 4 - Statements: All trucks are handles. All cups are handles.

Conclusions:

I. All cups are trucks.

II. Some handles are not cups.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Both the statements are A type propositions. So, in either, the intermediate term 'handles' forming the significance is not distributed. Since the intermediate term is not distributed even once in the statements, no definite conclusion is valid.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 5 - Statements: Some desks are caps. No cap is black.

Conclusions:

I. Some caps are desks.

II. No desk is black.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Since one statement is particular and the other statement is not positive, the conclusion must be particular but not positive and should not contain the intermediate term. So, it is valid that 'Some desks are not black'. However, conclusion I is the opposite of the first statement and thus it holds true.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 6 - Statements: All women are mothers. All mothers are sisters.

Conclusions:

I. All women are sisters.

II. Some women are not sisters.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

As all women are mothers and all mothers are sisters then we can directly infer that all women are sisters. Hence, conclusion I is correct. But conclusion II is not correct. Hence, option A is the answer.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 7 - Statements: Some bananas are trees. All trees are pens. All pens are boats.

Conclusions:

I. Some boats are bananas.

II. Some pens are bananas.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

Both conclusion I and II follow. Hence, option E is correct.

The following question, two or three statements are given and after that two conclusions are provided. You have to take the statements to be true though it shows difference from the known facts. At first, read the statements and then go to the conclusions. Among the conclusions, decide which is logically correct and answer the question by choosing the options provided.

Q 8 - Statements: All trees are roots. No root is branch.

Conclusions:

I. No branch is tree.

II. Some branches are trees.

Options:

A - Only conclusion I is correct.

B - Only conclusion II is correct.

C - Either I or II is correct.

D - Neither I nor II is correct.

E - Both I and II are correct.

### Explanation

As all trees are roots and no root is branch, we can deduce that no branch is tree. Hence, option A is correct.

The following question are given with some conclusions. Choose the options that logically follow the most.

Q 9 - Statements: All heroes are brave. All braves are fair.

Conclusions:

I. Some braves are heroes.

II. No braves is heroes.

III. Some fair are heroes.

IV. All fair are heroes.

Options:

A - I is valid

B - III is valid

C - Both I and III are valid

D - None are valid

### Explanation

Clearly, it is valid that 'All heroes are fair'. I is the opposite of the first statement, while III is the opposite of II statement. So, both I and III holds true.

The following question are given with some conclusions. Choose the options that logically follow the most.

Q 10 - Statements: Some clothes are cottons. Some cotton is bags.

Conclusions:

I. No cloth is a bag.

II. All cottons are bags.

III. Some bags are clothes.

IV. No cottons is a cloth.

Options:

A - I is valid

B - II is valid

C - Both II and III are valid

D - None are valid