Welcome to Class 11 Maths MCQ – Mathematical Reasoning chapter, Here, we’ve curated a set of 20 multiple-choice questions. Each MCQ is followed by the correct answer and an explanation. Go ahead and take this MCQ to test your knowledge of Mathematical Reasoning.

## 1. If the statement "If it rains, then the match will be canceled" is true, which is also true?

### Answer:

### Explanation:

This is the contrapositive of the original statement.

## 2. Which of the following is the converse of "If it is a square, then it has four sides"?

### Answer:

### Explanation:

The converse swaps the hypothesis and the conclusion.

## 3. A statement and its negation are:

### Answer:

### Explanation:

A statement and its negation can never both be true at the same time.

## 4. Which is the inverse of "If I study, then I will pass"?

### Answer:

### Explanation:

The inverse negates both the hypothesis and the conclusion.

## 5. Which type of statement is "All roses are flowers"?

### Answer:

### Explanation:

It makes a general claim about all members of a certain set.

## 6. "p and not q" is represented by:

### Answer:

### Explanation:

The symbol '∧' represents 'and' and '~' represents 'not'.

## 7. Which is a contradiction?

### Answer:

### Explanation:

The statement contains conflicting assertions, making it a contradiction.

## 8. The negation of "Some cats are black" is:

### Answer:

### Explanation:

The negation of "some" is "no".

## 9. Which statement is a tautology?

### Answer:

### Explanation:

A tautology is always true, and the statement "p or not p" meets that criteria.

## 10. "If and only if" is represented by:

### Answer:

### Explanation:

"If and only if" is a biconditional, represented by '↔'.

## 11. The compound statement "p or q" is false when:

### Answer:

### Explanation:

An 'or' statement is only false when both components are false.

## 12. Which is the contrapositive of "If you run, you sweat"?

### Answer:

### Explanation:

The contrapositive negates and swaps the hypothesis and conclusion.

## 13. Which is a disjunction?

### Answer:

### Explanation:

A disjunction is an 'or' statement.

## 14. If a statement "If p then q" is true, which must also be false?

### Answer:

### Explanation:

The statement implies that p being true forces q to be true.

## 15. "Neither p nor q" can be represented as:

### Answer:

### Explanation:

The statement is true when both p and q are false.

## 16. The statement "All integers are real numbers" is:

### Answer:

### Explanation:

All integers are a subset of real numbers.

## 17. "If not q then p" can be represented as:

### Answer:

### Explanation:

The 'not' applies to q and then implies p.

## 18. Which statement is equivalent to "p if and only if q"?

### Answer:

### Explanation:

Biconditional is equivalent to both forward and backward implications.

## 19. If two statements are logically equivalent, then:

### Answer:

### Explanation:

Logically equivalent statements have the same truth value for every possible input.

## 20. The statement "p and not p" is called:

### Answer:

### Explanation:

The statement can never be true, making it a contradiction.