Which of the following pair is not a co-prime pair?1. 35, 512. 75, 104

1.	Which of the following pair is not a co-prime pair?1. 35, 512. 75, 1043. 49, 1334. 63, 95
Answer» Correct Answer - Option 3 : 49, 133 Given: The pairs are (35, 51), (75, 104), (49, 133), (63, 95) Concept Used: A co-prime number is a set of numbers or integers which have only 1 as their common factor. Calculation: (i) (35, 51) 35 = 5 × 7 51 = 3 × 17 No common factor other than 1 ⇒ 35 and 51 are co-prime numbers (ii) (75, 104) 75 = 3 × 5² 104 = 2³ × 13 No common factor other than 1 ⇒ 75 and 104 are co-prime numbers (iii) (49, 133) 49 = 7² 133 = 7 × 19 Common factor is 7 ⇒ 49 and 133 are not co-prime numbers (iv) (63, 95) 63 = 3² × 7 95 = 5 × 19 No common factor other than 1 ⇒ 63 and 95 are co-prime numbers ∴ 49 and 133 are not co-prime numbers

Which of the following pair is not a co-prime pair?1. 35, 512. 75, 1043. 49, 1334. 63, 95

Answer» Correct Answer - Option 3 : 49, 133

Given:

The pairs are (35, 51), (75, 104), (49, 133), (63, 95)

Concept Used:

A co-prime number is a set of numbers or integers which have only 1 as their common factor.

Calculation:

(i) (35, 51)

35 = 5 × 7

51 = 3 × 17

No common factor other than 1 ⇒ 35 and 51 are co-prime numbers

(ii) (75, 104)

75 = 3 × 5²

104 = 2³ × 13

No common factor other than 1 ⇒ 75 and 104 are co-prime numbers

(iii) (49, 133)

49 = 7²

133 = 7 × 19

Common factor is 7 ⇒ 49 and 133 are not co-prime numbers

(iv) (63, 95)

63 = 3² × 7

95 = 5 × 19

No common factor other than 1 ⇒ 63 and 95 are co-prime numbers

∴ 49 and 133 are not co-prime numbers

Discussion

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