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Which of the following numbers is not a composite number ?

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3562 + 6

357 + 7

352 + 7

353 + 1

answer is C.

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Detailed Solution

Concept- For solving this question we should be aware of composite numbers in the question. add the given numbers in the option and find the factors of the numbers to find the answers to the question.
Lets add the number given in the option to find the factors of the numbers
For the first option

352 + 6 = 358 .

So let's find the factor of 358
Using this method of factorization.

2	358
179	179
	1

Since 358 s an even number it have factors more than 1 and itself therefore 358 is a composite number
In 2nd option we have

357 + 7 = 364

.
So let's find the factor of 364.

2	364
2	182
91	91
	1

Since 364 is an even number it has factors more than 1 And itself therefore 364 is a composite number.
For 3rd option we have number

352 + 7 = 359

359	359
	1

Since 359 is an odd number it doesn't factor more than 1 and itself therefore 359 is not a composite number.
For 4 th option we have number

353 + 1 = 354

2	354
177	177
	1

Since 354 is an even number t have factor more than 1 and itself therefore 354 is a composite number.
Since the numbers

352 + 6, 357 + 7 and 353 + 1

are the composite numbers whereas the number are composite numbers whereas the number 352+7 is not a composite number.
Hence, option 3 is the correct answer.

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