Question Text
Question 1 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 12, 15 and 21
Question 2 :
Given that HCF (306, 657) = 9, find LCM (306, 657).
Question 3 :
Use Euclid's division algorithm to find the HCF of : 867 and 255
Question 4 :
Can the number $6^n$, n being a natural number, end with the digit 5 ?
Question 5 :
Every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer. TRUE or FALSE ?
Question 6 :
What are the LCM and HCF (by prime factorisation method) of 96 and 404?
Question 7 :
Using Euclid’s division lemma can we show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m?
Question 9 :
Any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. TRUE or FALSE ?