Real Numbers

CBSE Class 10 · Mathematics · 40 past questions

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1. Q33 2023

   Prove that $2 + \sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is an irrational number.

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2. Q34 2023

   Find by prime factorisation the LCM of the numbers 18180 and 7575. Also, find the HCF of the two numbers.

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3. Q35 2023

   The ratio of HCF to LCM of the least composite number and the least prime number is…

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4. Q36 2023

   Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers ?

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5. Q37 2023

   In Question 19 and 20, an Assertion (A) statement is followed by a statement of Reason (R). Select the… (with a figure)

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6. Q38 2023

   Find the greatest number which divides 85 and 72 leaving remainders 1 and 2 respectively.

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7. Q39 2023 (Basic)

   The prime factorisation of natural number 288 is

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8. Q40 2023 (Basic)

   Find the LCM and HCF of 92 and 510, using prime factorisation.

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