Class 10 CBSE Mathematics
100 Questions with Detailed Answers
Knowledge Academy Ayodhya
Chapter 1: Real Numbers
Question 1
Find the HCF of 135 and 225 using Euclid's Division Algorithm.
Solution:
225 = 135 × 1 + 90
135 = 90 × 1 + 45
90 = 45 × 2 + 0
Therefore, HCF = 45.
Answer: 45
Question 2
Find the LCM of 12 and 18.
Solution:
12 = 2² × 3
18 = 2 × 3²
LCM = 2² × 3² = 36
Answer: 36
Question 3
Find the HCF of 96 and 404.
Solution:
404 = 96 × 4 + 20
96 = 20 × 4 + 16
20 = 16 × 1 + 4
16 = 4 × 4 + 0
Therefore, HCF = 4.
Answer: 4
Question 4
Express 140 as a product of its prime factors.
Solution:
140 = 14 × 10
= (2 × 7)(2 × 5)
= 2² × 5 × 7
Answer: 2² × 5 × 7
Question 5
Is √2 a rational or irrational number?
Solution:
√2 cannot be expressed in the form p/q, where p and q are integers and q ≠ 0.
Answer: √2 is irrational.
Question 6
Find the HCF of 72 and 120.
Solution:
120 = 72 × 1 + 48
72 = 48 × 1 + 24
48 = 24 × 2 + 0
Answer: 24
Question 7
Find the LCM of 24 and 36.
Solution:
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