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.

Questions and Answers

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: All oceans are waters. Some waters are boats.

Conclusions:

I. Some boats are oceans.

II. All waters are boats

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.

Answer : D

Explanation

We cannot say that some boats are oceans and also all waters cannot be boats, hence, neither of the options is valid. Hence, option D 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 2 - Statements: Some devils are angels. All social workers are angels

Conclusions:

I. Some devils are social workers.

II. Some social workers are devils

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.

Answer : D

Explanation

The first statement is an I type proposition. So, the intermediate term 'angels' forming the significance is not distributed. The second statement is an A type proposition. So, the intermediate term 'angels' 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 3 - Statements: Some papers are pens. Ink is a paper.

Conclusions:

I. Ink is not a pen.

II. Ink is a pen.

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.

Answer : C

Explanation

Since the intermediate term 'papers' is not distributed even once in the statements, no definite conclusion is valid. However, I and II involve only the extreme terms and form a complementary pair. Thus, either I or II 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 Pepsi are tasty. All tasty are healthy.

Conclusions:

I. Some healthy are Pepsi.

II. Some healthy are tasty.

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.

Answer : E

Explanation

Both the options are correct. So, 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 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.

Answer : A

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: Some books are pens. Some pens are erasers.

Conclusions:

I. All books are erasers.

II. Some erasers are books.

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.

Answer : D

Explanation

Since both the statements are particular, so 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 7 - Statements: All plates are bamboo. Some bamboos are balls. No bowl is a ball.

Conclusions:

I. Some bowls are bamboo.

II. No bowl is bamboo.

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.

Answer : C

Explanation

From the above statements, it is clear that there are equal chances that some bowls are bamboo and no bowl is bamboo. Hence, option C 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.

Answer : A

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, 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 9 - Statements: Some rubbers are windows. Some windows are pencils. All pencils are boxes.

Conclusions:

I. Some windows are boxes.

II. Some rubbers are boxes.

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.

Answer : A

Explanation

Some rubbers are boxes is not possible. We cannot say forcefully that some rubbers are boxes but some windows are boxes because some windows are pencils and all pencils are boxes. Hence, option A is correct.

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

Q 10 - Statements: Some towels are bed sheets. Some pillows are towels. All bed sheets are pillows.

Conclusions:

I. Some towels are pillows.

II. Some pillows are bed sheets.

III. Some bed sheets are towels.

Options:

A - I is valid

B - II is valid

C - III is valid

D - All are valid

Answer : D

Explanation

I is the opposite of the second statement, II is the opposite of the third statement and III is the opposite of the first statement and as such, all three of them follow.

reasoning_logical_deduction.htm
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