**MCQs Questions for Class 11 Maths Chapter 14 Mathematical Reasoning**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 14 Mathematical Reasoning**

**1.** The connective in the
statement 2 + 7 > 9 or 2 + 7 < 9 is

(a) and

(b) or

(c) >

(d) <

**Answer: b**

**2. **If all the component
statements can be true, then the ‘Or’ is said to be ___________

(a) Inclusive Or

(b) Exclusive Or

(c) Inclusive And

(d) Exclusive And

**Answer: a**

**3. **Which of the following is a statement?

(a) I will go tomorrow

(b) She will come today

(c) 3 is a prime number

(d) Tomorrow is Friday

**Answer: c**

**4. **Students can take English or Hindi as fifth subject. Which
phrase is used in this statement?

(a) And

(b) Exclusive Or

(c) Inclusive Or

(d) For all

**Answer: b**

**5. **Which of the following is not a statement?

(a) The product of (-1) and 8 is 8.

(b) All complex number are real number.

(c) Today is windy day.

(d) All of the above

**Answer: d**

**6. **Identify the type of Or and whether the statement “2 is a
prime number or even number” is true or not?

(a) Inclusive Or, true

(b) Exclusive Or, true

(c) Inclusive Or, false

(d) Exclusive Or, false

**Answer: a**

**7. **Which of the following
statements is a conjunction?

(a) Manayank and Rohit are friends.

(b) Both Manayank and Rohit are friends.

(c) Both Manayank and Rohit are enemies.

(d) None of these

**Answer: d**

**8. **If p then q means ___________ only if ___________

(a) p, q

(b) q, p

(c) p, p

(d) q, q

**Answer: a**

**9. **Which of the following is a
compound statement?

(a) Sun is a star.

(b) I am a very strong boy.

(c) There is something wrong in the room.

(d) 7 is both odd and prime number.

**Answer: d**

**10. **What is contrapositive for statement if p then q?

(a) if not q then not p

(b) if q then p

(c) if not p then q

(d) if not p then not q

**Answer: a**

**11. **Which of the following is not a statement?

(a) 8 is less than 6.

(b) Every set is finite set.

(c) The sun is a star.

(d) Mathematics is fun.

**Answer: d**

**12. **Which of the following is
converse of “If x is divisible by 4, then x must be divisible by 2”?

(a) If x is divisible by 2, then x must be
divisible by 4.

(b) If x is not divisible by 2, then x must be
divisible by 4.

(c) If x is not divisible by 2, then x is not
divisible by 4.

(d) If x is divisible by 4, then x is not
divisible by 2.

**Answer: a**

**13. **If (p and q) is false, then

(a) p is true and q is false

(b) p is false and q is false

(c) p is false and q is true

(d) all of the above

**Answer: d**

**14. **Which of the following statements is false?

(a) 24 is even number or odd number

(b) 15 is prime or divisible by 3

(c) 71 is odd number or prime

(d) Japan or China is in India

**Answer: d**

**15. **The converse of the statement p ⇒ q is

(a) p ⇒
q

(b) q ⇒
p

(c) ~p ⇒ q

(d) ~q ⇒ p

**Answer: b**