Probability Tricky problem

[dhonu121]

If a number is drawn at random from the first 1000 positive integers, what is the probability of selecting a
refined number?
(1) Any refined number must be divisible by 22.
(2) A refined number is any even multiple of 11.

OA:A.

Why is the OA not D.
Since both A and B are able to solve the question asked.

[Anurag@Gurome]

If a number is drawn at random from the first 1000 positive integers, what is the probability of selecting a
refined number?
(1) Any refined number must be divisible by 22.
(2) A refined number is any even multiple of 11.

Statement 1: This statement provides a necessary condition for a number to be a refined number. But we should note that this condition is neither sufficient nor it is a definition of refined number. There may or not be some other condition for a number to be refined number.

Not sufficient.

Statement 2: Now we know the definition of refined numbers.
Hence, we can easily calculate the number of refined numbers in the first 1000 integers and find the probability.

Sufficient.

The correct answer is B.

[dhonu121]

Hi Anurag,
So will it be right to say that when an option is worded the way 1 above is, it always will be a necessary but no sufficient condition ?

[Anurag@Gurome]

So will it be right to say that when an option is worded the way 1 above is, it always will be a necessary but no sufficient condition ?

Yes.

[dhonu121]

Thanks Anurag.

[khandelwal.ab]

good one another one of those math questions that have the flavor of verbal...