How many composite numbers are there in between 150 and 200 (including 150 and 200 both) ?

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None of these

answer is A.

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Detailed Solution

Concept:
Before answering this question, you need to have some prior knowledge of composite numbers and know the factors of numbers from 150 to 200 (150 to 200) . Use this information to get closer to solving your question.
So the numbers among one hundred fifty to 200 (which include one hundred fifty and 200) are one hundred fifty, 151, 152, 153, 154, one hundred fifty five, 156, 157, 158, 159, 160, 161, 162, 163, 164, a hundred sixty five, 166, 167, 168, 169, 170, 171, 172, 173, 174, a hundred seventy five, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199 and 200
In the above collection of numbers let`s differentiate the even numbers and unusual numbers
Even numbers are one hundred fifty, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198 and 200
Odd numbers are 151, 153, one hundred fifty five, 157, 159, 161, 163, a hundred sixty five, 167, 169, 171, 173, a hundred seventy five, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, and 199
Since we understand that each even wide variety receive 2 have extra at the least 1 elements receive 1 and itself
Since now no longer each unusual wide variety have elements extra than 2 let`s discover the elements of the given numbers
Factors of 151 are 1, 151 so it isn't always a composite wide variety
Factor of 153 are 1, 3, 9, 17, fifty one and 153 so it's far a composite wide variety
Factor of one hundred fifty five are 1, 5, 31 and one hundred fifty five so it's far a composite wide variety
Factor of 157 are 1 and 157 so it isn't always a composite wide variety
Factor of 159 are 1, 3, fifty three and 159 so it's far a composite wide variety
Factors of 161 are 1, 7, 23 and 161 so it's far a composite wide variety
Factors of 163 are 1 and 163 so it isn't always a composite wide variety
Factors of a hundred sixty five are 1, 3, 5, 11, 15, 33, fifty five and a hundred sixty five so it's far a composite wide variety
Factors of 167 are 1 and 167 so it isn't always a composite wide variety
Factors of 169 are 1, thirteen and 169 so it's far a composite wide variety
Factors of 171 are 1, 3, 9, 19, fifty seven and 171 so it's far a composite wide variety
Factors of 173 are 1 and 173 so it isn't always a composite wide variety
Factors of a hundred seventy five are 1, 5, 7, 25, 35 and a hundred seventy five so it's far a composite wide variety
Factors of 177 are 1, 3, fifty nine and 177 so it's far a composite wide variety
Factors of 179 are 1 and 179 so it isn't always a composite wide variety
Factors of 181 are 1 and 181 so it isn't always a composite wide variety
Factors of 183 are 1, 3, sixty one and 183 so it's far a composite wide variety
Factors of 185 are 1, 5, 37 and 185 so it's far a composite wide variety
Factors of 187 are 1, 11, 17 and 187 so it's far a composite wide variety
Factors of 189 are 1, 3, 7, 9, 21, 27, sixty three and 189 so it's far a composite wide variety
The factor of 191 is 1 and 191 so it is not a composite number.
The factor of 193 is 1 and 193, so it is not a composite number.
The divisors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195, so they are composite numbers.
The factor of 197 is 1 and 197, so it is not a composite number.
The factor of 199 is 1 and 199, so it is not a composite number.
That is, there are a total of 26 even numbers (composite numbers) and 25 odd numbers (14 of which are composites and 11 are non-composites) .
Therefore, the total number of composites is 26 + 14 = 40.
Hence, the correct answer is option 1) 40

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