# Real Numbers Class 10 Maths MCQs: CBSE Chapter Questions & Answers

MCQ questions for Chapter 1 Real Numbers With Answers are formulated according to the latest curriculum introduced by CBSE. The MCQs help students understand the key concepts of the chapter. The MCQs give a solid conceptual knowledge and assist them to know the paper level of the CBSE exam. Solving these Multiple Choice Questions will help students to improve their problem-solving, and logical reasoning abilities and score well in the CBSE board exams.The MCQ questions cover all the topics given in Chapter 1 Real Numbers With Answers. Expertise comes from consistent and deliberate hard work. Practicing daily will help you to assess your knowledge, improve your speed and accuracy and give you exposure to solve every type of question in the CBSE exam.

## Real Numbers Class 10 MCQs Questions with Answers

**1. For any positive integer a and b, there exist unique integers q and r such that a = 3q + r, where r must satisfy.**

A. 0 ≤ r < 3

B. 1 < r < 3

C. 0 < r < 3

D. 0 < r ≤ 3

**Answer: A**

**2. If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is**

A. 3600

B. 900

C. 150

D. 90

**Answer: C**

**3. The decimal expansion of 17/8 will terminate after how many places of decimals?**

A. 1

B. 2

C. 3

D. will not terminate

**Answer: C**

**4. The decimal expansion of n is**

A. terminating

B. non-terminating and non-recurring

C. non-terminating and recurring

D. does not exist.

**Answer: B**

**5. If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m:**

A. 4

B. 2

C. 1

D. 3

**Answer: B**

**6. For some integer m, every odd integer is of the form**

A. m

B. m + 1

C. 2m

D. 2m + 1

**Answer: D**

**7. The product of a non-zero number and an irrational number is:**

A. always irrational

B. always rational

C. rational or irrational

D. one

**Answer: A**

**8. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is**

A. 13

B. 65

C. 875

D. 1750

**Answer: A**

**9. The values of the remainder r, when a positive integer a is divided by 3 are:**

A. 0, 1, 2, 3

B. 0, 1

C. 0, 1, 2

D. 2, 3, 4

**Answer: C**

**10. A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?**

A. 2 and 3

B. 3 and 5

C. 2, 3 and 5

D. 2 and 5

**Answer: D**

**11. If b = 3, then any integer can be expressed as a =**

A. 3q, 3q+ 1, 3q + 2

B. 3q

C. none of the above

D. 3q+ 1

**Answer: A**

**12. The product of three consecutive positive integers is divisible by**

A. 4

B. 6

C. no common factor

D. only 1

**Answer: B**

**13. Which number is divisible by 11?**

A. 1516

B. 1452

C. 1011

D. 1121

**Answer: B**

**14. There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students**

A. 52

B. 56

C. 48

D. 63

**Answer: A**

**15. For some integer p, every odd integer is of the form**

A. 2p + 1

B. 2p

C. p + 1

D. p

**Answer: A**

**16. The product of two consecutive natural numbers is always:**

A. prime number

B. even number

C. odd number

D. even or odd

**Answer: B**

**17. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408xp, then the value of p is**

A. 5

B. -5

C. 4

D. -4

**Answer: B**

**18. When a number is divided by 7, its remainder is always:**

A. greater than 7

B. at least 7

C. less than 7

D. at most 7

**Answer: C**

**19. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is**

A. 24

B. 16

C. 8

D. 48

**Answer: A**

**20. Euclid’s division lemma states that for two positive integers a and b, there exist unique integer q and r such that a = bq + r, where r must satisfy**

A. a < r < b

B. 0 < r ≤ b

C. 1 < r < b

D. 0 ≤ r < b

**Answer: D**

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