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Q.

The HCF of two consecutive odd numbers is


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a

28

b

30

c

1

d

5  

answer is C.

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Detailed Solution

We need to find the HCF of two consecutive odd numbers.
We can check the HCF of a string of succeeding odd numbers by recording the first few odd digits.
1, 3, 5, 7, 9, and 11 are the first few odd numbers.
Now, calculating the HCF of subsequent odd numbers.
It is obvious that, other than 1, there are no common factors between any two consecutive odd integers.
For example, the HCF of 3 and 5 is 1.
Therefore, the HCF of two consecutive odd numbers is 1.
Hence, option 3 is correct.
 
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