Question

The composite numbers between 30 and 40 are

• A. 32, 33, 34, 35, 36, 38, 39
• B. 34, 35, 36, 38, 39, 42, 44
• C. 31, 34, 35, 36, 37, 38, 39,
• D. 28, 32, 33, 34, 35, 36, 38,

Answer 1

The correct option is A 32, 33, 34, 35, 36, 38, 39

Numbers between 30 and 40 are:

31, 32, 33, 34, 35, 36, 37, 38, 39

Composite numbers are the numbers which have more than two distinct factors. For example, factors of following numbers are listed:
32 $\Rightarrow$ 1, 2, 3, 4, 8, 16, 32
33 $\Rightarrow$ 1, 3, 11, 33
34 $\Rightarrow$ 1, 2, 17, 34
35 $\Rightarrow$ 1, 5, 7, 35
36 $\Rightarrow$ 1, 2, 3, 4, 6, 9, 12, 18, 36
38 $\Rightarrow$ 1, 2, 19, 38
39 $\Rightarrow$ 1, 3, 13, 39

We observe that in all of the numbers, number of distinct factors are more than two. Further, all the above numbers lies between 30 and 40.