MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Real Numbers Class 10 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-10-maths-chapter-1/

Students can also refer to NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers for better exam preparation and score more marks.

Real Numbers Class 10 MCQs Questions with Answers

Question 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) 0 ≤ r < 3

Question 2.
The values of x and y is the given figure are

(a) x + 10, y = 14
(b) x = 21, y = 84
(c) x = 21, y = 25
(d) x = 10, y = 40

Answer: (b) x = 21, y = 84

Question 3.
If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is
(a) 3600
(b) 900
(c) 150
(d) 90

Question 4.
If mn = 32, where m and n are positive integers, then the value of (n)mn is
(a) 9765625
(b) 9775625
(c) 9785625
(d) 9865625

Question 5.
If ($$\frac{9}{7}$$)3 × ($$\frac{49}{81}$$)2x-6 = ($$\frac{7}{9}$$)9 then value of x is
(a) 12
(b) 9
(c) 8
(d) 6

Question 6.
The decimal expansion of $$\frac{17}{8}$$ will terminate after how many places of decimals?
(a) 1
(b) 2
(c) 3
(d) will not terminate

Question 7.
The decimal expansion of n is
(a) terminating
(b) non-terminating and non-recurring
(c) non-terminating and recurring
(d) does not exist.

Question 8.
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

Question 9.
Given that LCM of (91, 26) = 182 then HCF (91, 26) is
(a) 13
(b) 26
(c) 7
(d) 9

Question 10.
The decimal expansion of number $$\frac{441}{2^2×5^3×7}$$ is
(a) A terminating decimal
(b) Non-terminating but repeating
(c) Non-terminate non repeating
(d) terminating after two places of decimal

Question 11.
If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B
(a) 2
(b) 1
(c) 3
(d) 4

Question 12.
(-1)n + (-1)8n = 0 when n is
(a) any positive integer
(b) any odd natural number
(c) any even numeral number
(d) any negative integer

Answer: (b) any odd natural number

Question 13.
If the LCM of 12 and 42 is 10 m + 4 then the value of m is
(a) 50
(b) 8
(c) $$\frac{1}{5}$$
(d) l

Question 14.
The decimal expansion of the rational number $$\frac{6243}{2^2×5^4}$$ will terminate after
(a) 4 places of decimal
(b) 3 places of decimal
(c) 2 places of decimal
(d) 1 place of decimal

Answer: (a) 4 places of decimal

Question 15.
n² – 1 is divisible by 8, if n is
(a) an integer
(b) a natural number
(c) an odd natural number
(d) an even natural number

Answer: (c) an odd natural number

Question 16.
If n is a natural number, then exactly one of numbers n, n + 2 and n + 1 must be a multiple of
(a) 2
(b) 3
(c) 5
(d) 7

Question 17.
The rational number between 72 and 73 is
(a) $$\frac{6}{5}$$
(b) $$\frac{3}{4}$$
(c) $$\frac{3}{2}$$
(d) $$\frac{4}{5}$$

Answer: (c) $$\frac{3}{2}$$

Question 18.
If a and 6 are two positive numbers and H and L are their HCF and LCM respectively. Then
(a) a × b = H × L
(b) a = b × H
(c) a = $$\frac{b×L}{H}$$
(d) H = $$\frac{L}{a×b}$$

Answer: (a) a × b = H × L

Question 19.
LCM of 2³ × 3² and 2² × 3³ is
(a) 2³
(b) 3³
(c) 2³ × 3³
(d) 2² × 3²

Question 20.
The LCM of 2.5, 0.5 and 0.175 is
(a) 2.5
(b) 5
(c) 7.5
(d) 0.875
The content structure consists of multiple multiple-choice questions (MCQs) from a mathematics chapter, each followed by a set of answer options and the correct answer.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Real Numbers Class 10 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-10-maths-chapter-1/

Students can also refer to NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers for better exam preparation and score more marks.

Real Numbers Class 10 MCQs Questions with Answers

Question 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) 0 ≤ r < 3

Question 2.
The values of x and y is the given figure are

(a) x + 10, y = 14
(b) x = 21, y = 84
(c) x = 21, y = 25
(d) x = 10, y = 40

Answer: (b) x = 21, y = 84

Question 3.
If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is
(a) 3600
(b) 900
(c) 150
(d) 90

Question 4.
If mn = 32, where m and n are positive integers, then the value of (n)mn is
(a) 9765625
(b) 9775625
(c) 9785625
(d) 9865625

Question 5.
If ($$\frac{9}{7}$$)3 × ($$\frac{49}{81}$$)2x-6 = ($$\frac{7}{9}$$)9 then value of x is
(a) 12
(b) 9
(c) 8
(d) 6

Question 6.
The decimal expansion of $$\frac{17}{8}$$ will terminate after how many places of decimals?
(a) 1
(b) 2
(c) 3
(d) will not terminate

Question 7.
The decimal expansion of n is
(a) terminating
(b) non-terminating and non-recurring
(c) non-terminating and recurring
(d) does not exist.

Question 8.
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

Question 9.
Given that LCM of (91, 26) = 182 then HCF (91, 26) is
(a) 13
(b) 26
(c) 7
(d) 9

Question 10.
The decimal expansion of number $$\frac{441}{2^2×5^3×7}$$ is
(a) A terminating decimal
(b) Non-terminating but repeating
(c) Non-terminate non repeating
(d) terminating after two places of decimal

Question 11.
If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B
(a) 2
(b) 1
(c) 3
(d) 4

Question 12.
(-1)n + (-1)8n = 0 when n is
(a) any positive integer
(b) any odd natural number
(c) any even numeral number
(d) any negative integer

Answer: (b) any odd natural number

Question 13.
If the LCM of 12 and 42 is 10 m + 4 then the value of m is
(a) 50
(b) 8
(c) $$\frac{1}{5}$$
(d) l

Question 14.
The decimal expansion of the rational number $$\frac{6243}{2^2×5^4}$$ will terminate after
(a) 4 places of decimal
(b) 3 places of decimal
(c) 2 places of decimal
(d) 1 place of decimal

Answer: (a) 4 places of decimal

Question 15.
n² – 1 is divisible by 8, if n is
(a) an integer
(b) a natural number
(c) an odd natural number
(d) an even natural number

Answer: (c) an odd natural number

Question 16.
If n is a natural number, then exactly one of numbers n, n + 2 and n + 1 must be a multiple of
(a) 2
(b) 3
(c) 5
(d) 7

Question 17.
The rational number between 72 and 73 is
(a) $$\frac{6}{5}$$
(b) $$\frac{3}{4}$$
(c) $$\frac{3}{2}$$
(d) $$\frac{4}{5}$$

Answer: (c) $$\frac{3}{2}$$

Question 18.
If a and 6 are two positive numbers and H and L are their HCF and LCM respectively. Then
(a) a × b = H × L
(b) a = b × H
(c) a = $$\frac{b×L}{H}$$
(d) H = $$\frac{L}{a×b}$$

Answer: (a) a × b = H × L

Question 19.
LCM of 2³ × 3² and 2² × 3³ is
(a) 2³
(b) 3³
(c) 2³ × 3³
(d) 2² × 3²

Question 20.
The LCM of 2.5, 0.5 and 0.175 is
(a) 2.5
(b) 5
(c) 7.5
(d) 0.875
user
The content structure consists of multiple multiple-choice questions (MCQs) from a mathematics chapter, each followed by a set of answer options and the correct answer.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS