[Wonder Boy]

Just for practice solve five questions related to HCF, LCM today. Answer with complete solution. I will post solution tomorrow :

For any image attachment use : http://postimage.org

Question 1:

LCM of three numbers is equal to 1080; HCF of the three numbers is equal to 2. How many such triplets are possible?

Question 2:

How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080?

Question 3:

Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?

Question 4:

There are three numbers a,b, c such that HCF (a, b) = l, HCF (b, c) = m and HCF (c, a) = n. HCF (l, m) = HCF (l, n) = HCF (n, m) = 1. Find LCM of a, b, c. (The answer can be “This cannot be determined”).

Question 5:

How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?

[Author]

Posts