Q.

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be a remainder is

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a

1419

b

519

c

56

d

715

answer is A.

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Detailed Solution

The number of composite numbers in 1 to 30 is n(S) = 19.The number of composite numbers when divided by 5 leaves a remainder is n(E) = 14. Therefore, the required probability is 14/19.
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A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be a remainder is