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Q.

The probability that a random chosen three-digit number has exactly 3 factors is

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a

2225

b

7900

c

1800

d

none of these

answer is B.

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Detailed Solution

A number has exactly 3 factors if the number is squares of a prime number. 

Squares of 11, 13, 17, 19, 23, 29, 31 are 3-digit numbers. 

Hence, the required probability is 7900

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The probability that a random chosen three-digit number has exactly 3 factors is