CBSE Class 10 Maths Standard Real Numbers Practice Questions
Choose a Real Numbers topic, attempt the question first, then use the solution to revise. Topics: Fundamental Theorem of Arithmetic, Irrational Numbers.
Practice coverage:155 published questions across 6 formats.
Base
According to Euclid's division lemma, for positive integers a and b, we can write:
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FAQ
What is the condition on remainder in Euclid's division lemma?
The remainder r must satisfy 0≤r<b.
Base
For two positive integers a and b, the relation between HCF and LCM is:
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FAQ
What is the HCF-LCM product relation?
For two numbers a and b, HCF×LCM=a×b.
Base
The prime factorisation of 180 is:
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FAQ
Why is prime factorisation useful?
It helps find HCF, LCM, and proves properties of numbers.
Base
Which of the following is irrational?
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FAQ
Is every square root irrational?
No. Square roots of perfect squares are rational.
Base
The decimal expansion of 12513 is:
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FAQ
When does a rational number have terminating decimal expansion?
After simplification, denominator should be of the form 2m5n.
