Question

Three pairwise co-prime natural

Q: Answer-Three pairwise co-prime natural numbers have the following property: The product of the first and se...

ATQ, Let the numbers be a, b and c According to the question, ab 210 bc 154 Now, b HCF of 210 and 154 210 2 3 5 7 154 2 7 11 Common part 2 7 14 Therefore, b 14 Now, a 21014 15 c 15414 11 So the three numbers are 15, 14, 11 Least number 11 Greatest number 15 Therefore, p 11 15 26 Now, factors of 26 are 1, 2, 13, 26 total number of factors of 26 4

numbers have the following property: The product of the first and second numbers is 210, and the product of the second and third numbers is 154. If the sum of the smallest and the largest of these three numbers is 'p', find the number of factors of 'p'.

A 9

B 4

C 2

D 7

E None of these

Practice Next

More No. System Questions