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## Comment on

Socks## What are the question should

## You'll find the answer to

You'll find the answer to that question at the bottom of https://www.gmatprepnow.com/module/gmat-probability

## Hey, thanks for the videos,

For this question, considering statement 2, if we solve the equation for W, which is W^2 - W - 12 > 0, I get the following 2 results:

W > -3

W > 4

Now if we use W>4, we can arrive the answer that the statement is sufficient. My question is that can we disregard W > -3? By this equation, W can also be 1,2,3...and so on. Please explain

## Be careful.

Be careful.

When we solve the inequality W^2 - W - 12 > 0, we get first get (W - 4)(W + 3) > 0

When we solve, we get: W > 4 or W < -3 (less than -3, not greater than -3)

For more on solving quadratic inequalities, watch: https://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/vid...

If W < -3, then some possible values of W are -4, -5, -6, -7, etc.

None of these values fit the requirement that W must be an integer that's greater than or equal to zero.

## Poorly written question,

Be careful.

## That's intentional. We don't

That's intentional. We don't need the proviso that the socks are black and white only. In fact, there's no reason why there can't be socks of other colors, but it doesn't change the answer.

## Its a very good question. can

## I'd say that it's a 700+

I'd say that it's a 700+ level question.

## Great trick. Remainder of why

## I think if there are more

## Hi ideree,

Hi ideree,

Many students have suggested this. However, it makes no difference whether there are socks a color different from white or black.

If you're not convinced, try to find a scenario in which a 3rd color makes statement 2 insufficient.

Cheers,

Brent

## Wonderful Question :)

## Does it help to know through

## Statement 2 helps us reduce

Statement 2 helps us reduce the possible number of black socks. It indirectly tells us that there are either 0 or 1 black socks.

If there are 0 black socks, then it's impossible to select 2 black socks without replacement.

So, the answer to the target question is, "The probability is 0 that we select 2 black sock with replacement"

If there is 1 black sock, then it's impossible to select 2 black socks without replacement.

So, the answer to the target question is, "The probability is 0 that we select 2 black sock with replacement"

So, statement 2 is sufficient.

## You mean Statement 2 is

## Oops - good catch!!

Oops - good catch!!

I edited my response.

Cheers,

Brent

## Add a comment