Question

Question 12
The HCF of two consecutive odd numbers is
a. 3
b. 2
c. 1
d. 0
Question 13
The HCF of two consecutive even numbers is
a. 0
b. 1
c. 2
d. 3
Question 14
The HCF of 66,77,88
a. 11
b. 12
c. 13
d. 17
Question 15
The LCM of two consecutive numbers is
a. their sum
b. their product
c. their difference
d. none of these
Question 16
The smallest odd composite number is
a. 5
b. 15
c. 9
d. 3
Question 17
Find the smallest 4-digit number which is divisible by 6, 8, 9
a. 2012
b. 2160
c. 2088
d. 2016
Question 18
The LCM of two co-prime numbers is
a. their sum
b. their product
c. their difference
d. none of these
Question 19
Which of the following is false?
a. The number 2 and 3 are co-prime
b. The numbers 41 and 43 are twin primes
c. The number 5,28   are co-prime
d. none of these​

Answer 1

Answer:

Step-by-step explanation:

Ans:12)Image result for The HCF of two consecutive odd numbers is4 days ago

Consecutive odd numbers have no common factor. so their HCF is 1.

Ans:13)The HCF o two consecutive numbers are always one. The reason behind this is that the two consecutive numbers do not have any common factor other than 1. Hence 1 becomes the highest common factor between two consecutive numbers. HCF of any two consecutive even numbers is 2.

Ans:14)66= 2×3×11

77= 7×11

88= 2×2×2×11

so

the common factor of 66, 77 and 88 =11

therefore

HCF of 66, 77 and 88 = 11

Ans:15)LCM OF TWO CONSECUTIVE NUMBERS IS EQUAL TO THEIR PRODUCT

EXAMPLE

3,4

LCM = 3×4 = 12

5,6

LCM = 5×6 = 30

HOPE IT HELPS :):):):):):)