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Bunuel
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bhavyagmat
Can you let me know what is wrong with this solution?

I don’t clearly see the notations you used, but here’s the logic:

We’re given b = 53 and asked to find a.

(1) gives b + c = 72, which only lets us find c = 19 but not a, so not sufficient.
(2) gives a + b = 59, and with b = 53, we get a = 6, so sufficient.

So the answer is B.

P.S. You quoted my solution but it seems you ignored it altogether and didn’t study it at all.
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Let me elaborate
Let b represent the number of students part of both cooking and painting ( the common part of a two circle venn diagram)
b= 53 is given

Students for only cooking be a (Thereby total cooking students is a+53)
Students for only painting be c ( Thereby total painting students is c+53)
and n be the students - for neither cooking nor painting

( One may see the diagram in the previous message, hope the above elaboration helps)

Now we are asked how many are not a part of painting i.e a+n

Let us evaluate statement 1
It gives us b+c = 72 ---> c=19, but nothing on n -- Hence not sufficient

For statement 2
a+b =59, giving a=6, but we still dont have n -- hence not sufficient

Even if we combine both, not sufficient as we have nothing on n- Hence in my opinion - answer is E..

In nutshell my submission is we are asked how many are NOT part of painting.

Until we know how many are not a part of both, we dont have sufficient data. Hence E is the answer.

Let me know your thoughts


P.S - I did study your solution and since the above is what I thought posted it.

Your replies are prompt. I appreciate that!

Bunuel

I don’t clearly see the notations you used, but here’s the logic:

We’re given b = 53 and asked to find a.

(1) gives b + c = 72, which only lets us find c = 19 but not a, so not sufficient.
(2) gives a + b = 59, and with b = 53, we get a = 6, so sufficient.

So the answer is B.

P.S. You quoted my solution but it seems you ignored it altogether and didn’t study it at all.
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bhavyagmat
Let me elaborate
Let b represent the number of students part of both cooking and painting ( the common part of a two circle venn diagram)
b= 53 is given

Students for only cooking be a (Thereby total cooking students is a+53)
Students for only painting be c ( Thereby total painting students is c+53)
and n be the students - for neither cooking nor painting

( One may see the diagram in the previous message, hope the above elaboration helps)

Now we are asked how many are not a part of painting i.e a+n

Let us evaluate statement 1
It gives us b+c = 72 ---> c=19, but nothing on n -- Hence not sufficient

For statement 2
a+b =59, giving a=6, but we still dont have n -- hence not sufficient

Even if we combine both, not sufficient as we have nothing on n- Hence in my opinion - answer is E..

In nutshell my submission is we are asked how many are NOT part of painting.

Until we know how many are not a part of both, we dont have sufficient data. Hence E is the answer.

Let me know your thoughts


P.S - I did study your solution and since the above is what I thought posted it.

Your replies are prompt. I appreciate that!



You’re interpreting it wrong. We are asked, “... how many of the cooking class students are not enrolled in the painting class?” So, we don’t care about people who aren’t part of the cooking class at all.
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Agreed. Thanks! By the way originally when I said " What is wrong with this solution" I was referring to my solution, not yours!
Bunuel


You’re interpreting it wrong. We are asked, “... how many of the cooking class students are not enrolled in the painting class?” So, we don’t care about people who aren’t part of the cooking class at all.
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