Class 10 Mathematics: Real Numbers Worksheet

This worksheet assesses understanding of fundamental concepts related to Real Numbers, including Euclid's Division Lemma, HCF, LCM, and properties of rational and irrational numbers. Students will practice applying these concepts through various question types.

Class 10CBSEMathematicsmediumPractice

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Preview · 10 questions

Q1. If two positive integers 'a' and 'b' are written as a = p³q² and b = pq³, where p and q are prime numbers, then HCF(a, b) is:
- pq
- pq²
- p³q³
- p²q²
Q2. The product of a non-zero rational number and an irrational number is:
- always irrational
- always rational
- rational or irrational
- one
Q3. According to Euclid's Division Lemma, for two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq + r, where 0 ≤ r < ____.
Q4. The decimal expansion of the rational number 14587/1250 will terminate after how many decimal places?
- one decimal place
- two decimal places
- three decimal places
- four decimal places
Q5. If HCF(26, 91) = 13, then LCM(26, 91) is:
- 182
- 2366
- 91
- 26

+ 5 more in the printable PDF.