MCQ Questions for Class 10 Mathematics Real Numbers. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
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Practice set
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Fundamental Theorem of Arithmetic in the chapter Real Numbers.
A. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
B. Fundamental Theorem of Arithmetic (statement)
C. Every composite number can be expressed as a product of primes, unique except for the order of factors
D. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
Answer
C. Every composite number can be expressed as a product of primes, unique except for the order of factors
Explanation
Every composite number can be expressed as a product of primes, unique except for the order of factors. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to HCF and LCM in the chapter Real Numbers.
A. HCF × LCM = product of two positive integers
B. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
C. For two positive integers, HCF × LCM equals the product of the numbers
D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Answer
C. For two positive integers, HCF × LCM equals the product of the numbers
Explanation
For two positive integers, HCF × LCM equals the product of the numbers. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Terminating decimal in the chapter Real Numbers.
A. Terminating decimals: denominator 2^m 5^n after simplifying
B. Real numbers include all rationals and irrationals and fill the number line
C. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
D. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
Answer
D. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
Explanation
A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Non-terminating repeating in the chapter Real Numbers.
A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
B. Fundamental Theorem of Arithmetic (statement)
C. √2, √3, √5 are irrational
D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Answer
D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Explanation
If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Irrational numbers in the chapter Real Numbers.
A. Euclid’s algorithm finds HCF
B. HCF × LCM = product of two positive integers
C. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
D. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
Answer
C. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
Explanation
√2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q6MCQ1 markEasy
Choose the correct statement related to Euclid’s algorithm in the chapter Real Numbers.
A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
B. Terminating decimals: denominator 2^m 5^n after simplifying
C. Real numbers include all rationals and irrationals and fill the number line
D. This idea is not part of the NCERT chapter
Answer
A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
Explanation
Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b). The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q7MCQ1 markEasy
Choose the correct statement related to Prime factorisation in the chapter Real Numbers.
A. √2, √3, √5 are irrational
B. Fundamental Theorem of Arithmetic (statement)
C. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
D. The textbook says the opposite of this statement
Answer
C. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
Explanation
HCF is the product of smallest powers and LCM the product of greatest powers of common primes. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q8MCQ1 markEasy
Choose the correct statement related to Real number in the chapter Real Numbers.
A. Real numbers include all rationals and irrationals and fill the number line
B. This happens only in a laboratory and never in daily life
C. Euclid’s algorithm finds HCF
D. HCF × LCM = product of two positive integers
Answer
A. Real numbers include all rationals and irrationals and fill the number line
Explanation
Real numbers include all rationals and irrationals and fill the number line. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Real Numbers in the chapter Real Numbers.
A. This idea is not part of the NCERT chapter
B. Terminating decimals: denominator 2^m 5^n after simplifying
C. Fundamental Theorem of Arithmetic (statement)
D. Every composite number can be expressed as a product of primes, unique except for the order of factors
Answer
C. Fundamental Theorem of Arithmetic (statement)
Explanation
Fundamental Theorem of Arithmetic (statement). The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q10MCQ1 markModerate
Choose the correct statement related to Real Numbers in the chapter Real Numbers.
A. The textbook says the opposite of this statement
B. √2, √3, √5 are irrational
C. HCF × LCM = product of two positive integers
D. For two positive integers, HCF × LCM equals the product of the numbers
Answer
C. HCF × LCM = product of two positive integers
Explanation
HCF × LCM = product of two positive integers. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q11MCQ1 markEasy
Choose the correct statement related to Terminating decimals in the chapter Real Numbers.
A. Terminating decimals: denominator 2^m 5^n after simplifying
B. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
C. Euclid’s algorithm finds HCF
D. This happens only in a laboratory and never in daily life
Answer
A. Terminating decimals: denominator 2^m 5^n after simplifying
Explanation
Terminating decimals: denominator 2^m 5^n after simplifying. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q12MCQ1 markEasy
Choose the correct statement related to Real Numbers in the chapter Real Numbers.
A. √2, √3, √5 are irrational
B. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
C. This idea is not part of the NCERT chapter
D. Every composite number can be expressed as a product of primes, unique except for the order of factors
Answer
A. √2, √3, √5 are irrational
Explanation
√2, √3, √5 are irrational. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Real Numbers in the chapter Real Numbers.
A. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
B. The textbook says the opposite of this statement
C. For two positive integers, HCF × LCM equals the product of the numbers
D. Euclid’s algorithm finds HCF
Answer
D. Euclid’s algorithm finds HCF
Explanation
Euclid’s algorithm finds HCF. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q14MCQ1 markEasy
Choose the correct statement related to Fundamental Theorem of Arithmetic in the chapter Real Numbers.
A. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
B. This happens only in a laboratory and never in daily life
C. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
D. Every composite number can be expressed as a product of primes, unique except for the order of factors
Answer
D. Every composite number can be expressed as a product of primes, unique except for the order of factors
Explanation
Every composite number can be expressed as a product of primes, unique except for the order of factors. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q15MCQ1 markModerate
Choose the correct statement related to HCF and LCM in the chapter Real Numbers.
A. For two positive integers, HCF × LCM equals the product of the numbers
B. Real numbers include all rationals and irrationals and fill the number line
C. Every composite number can be expressed as a product of primes, unique except for the order of factors
D. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
Answer
A. For two positive integers, HCF × LCM equals the product of the numbers
Explanation
For two positive integers, HCF × LCM equals the product of the numbers. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q16MCQ1 markEasy
Choose the correct statement related to Terminating decimal in the chapter Real Numbers.
A. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
B. Fundamental Theorem of Arithmetic (statement)
C. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
D. For two positive integers, HCF × LCM equals the product of the numbers
Answer
A. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
Explanation
A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Non-terminating repeating in the chapter Real Numbers.
A. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
B. HCF × LCM = product of two positive integers
C. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
D. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
Answer
C. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Explanation
If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q18MCQ1 markEasy
Choose the correct statement related to Irrational numbers in the chapter Real Numbers.
A. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
B. Real numbers include all rationals and irrationals and fill the number line
C. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
D. Terminating decimals: denominator 2^m 5^n after simplifying
Answer
A. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
Explanation
√2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q19MCQ1 markEasy
Choose the correct statement related to Euclid’s algorithm in the chapter Real Numbers.
A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
B. Fundamental Theorem of Arithmetic (statement)
C. √2, √3, √5 are irrational
D. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
Answer
A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
Explanation
Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b). The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q20MCQ1 markModerate
Choose the correct statement related to Prime factorisation in the chapter Real Numbers.
A. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
B. Euclid’s algorithm finds HCF
C. HCF × LCM = product of two positive integers
D. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
Answer
A. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
Explanation
HCF is the product of smallest powers and LCM the product of greatest powers of common primes. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
How should I use the 100 questions?
Try the question first, then tap Show answer. Mix MCQs with long answers. Revise formulas and diagrams from the textbook alongside this set.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-10/, then subject and chapter slugs.
Why is this a separate URL?
So students searching for “MCQ Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Today's 3-step path
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
