Real Number
Previous Year Solved Questions 2021
Q1: Explain why 2 × 3 × 5 + 5 and 5 × 7 × 11 + 7 × 5 are composite numbers. (2021)
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Ans:
First expression: 2 × 3 × 5 + 5
= 5(2 × 3 + 1)
= 5 × 7
= 35
Factors: 1, 5, 7, 35 → More than 2 factors → Composite number
First expression: 2 × 3 × 5 + 5
= 5(2 × 3 + 1)
= 5 × 7
= 35
Factors: 1, 5, 7, 35 → More than 2 factors → Composite number
Second expression: 5 × 7 × 11 + 7 × 5
= 5 × 7(11 + 1)
= 5 × 7 × 12
= 420
Factors include 1, 2, 3, 4, 5, 6, 7, 10, 12, etc. → More than 2 factors → Composite number
Both numbers have more than two factors, hence are composite numbers.