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The difference between the sum of prime numbers from and the sum of the composite numbers from is divisible by which of the following numbers: -
a) 3
b) 7
c) 151
d) 17

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Divisible by (A) and (B)

Divisible by only (B)

Divisible by only (C)

Divisible by only (D)

answer is C.

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Detailed Solution

Concept- Number system
Prime numbers have only two factors: one is one and the other is the number itself.
A prime number can be divided by one and by itself.
Let us now address this issue.

are prime numbers from

. Prime number sums from

Composite numbers

The total of the composite numbers from 21 to 30 is 203.
The difference in the sum of prime and composite numbers from

So, the difference between the sum of prime and composite numbers ranging from

As we all know

is a prime number.
Hence, the answer is option 3.

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