In which set of numbers every pair is coprime to each other?
A. 35, 48, 55
B. 24, 35, 49
C. 42, 55, 69
D. 21, 32, 43
Answer: Option D
Solution(By Examveda Team)
Given,35, 48, 55
24, 35, 49
42, 55, 69
21, 32, 43
Concept used:
Co-prime numbers = Co-prime numbers are ones with just one common element, which is 1.
Calculations:
According to the question,
Factors of (35, 48, 55) = 5, 1
⇒ 35 = 5 × 7 × 1
⇒ 48 = 2 × 2 × 2 × 2 × 3 × 1
⇒ 55 = 5 × 11 × 1
Factors of (24, 35, 49) = 7, 1
⇒ 24 = 2 × 2 × 2 × 3 × 1
⇒ 35 = 5 × 7 × 1
⇒ 43 = 7 × 7 × 1
Factors of (42, 55, 69) = 3, 1
⇒ 42 = 2 × 3 × 7 × 1
⇒ 55 = 5 × 11 × 1
⇒ 69 = 3 × 23 × 1
Factors of (21, 32, 43) = 1
⇒ 21 = 3 × 7 × 1
⇒ 32 = 2 × 2 × 2 × 2 × 2 × 1
⇒ 43 = 43 × 1
∴ The set of number which are co-prime number are (21, 32, 43)
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Join The Discussion