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GURUCHANAKYA
Paul4gmat
Bunuel
Is a + b + c = 7 ?

(1) a + b = 3

(2) b + c = 4
1. Not sufficient
2. Not sufficient
When we combine 1 and 2 then equation becomes
a+2b+c=7.
This means a+b+c <7 .
So answer is NO .
C is the answer

Sent from my A0001 using GMAT Club Forum mobile app


And what if B= 0 ??

I think the ans should be E.

Posted from my mobile device
Oops . . I missed that point ..
It should be E
Thanks for the input

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I still didn't get it. Could someone please explain to me in detail why statements A and B are individually wrong?

Thank you :)
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Hi raghavdev,

raghavdev
I still didn't get it. Could someone please explain to me in detail why statements A and B are individually wrong?

Thank you :)

Is a + b + c = 7 ?

Quote:
(1) a + b = 3
Statement (1) does not provide us with any information about c.
Let's derive a few examples. Let's say c=0: (a + b) + c = 3 + 0 = 3, the reply is No, a + b + c != 7 in the case c = 0.
Let's bring another example. Let's say c = 4: (a + b) + c = 3 + 4 = 7. In the case c = 4, the reply on question stem is Yes.

If the statement provides us with two answers (Yes and No), the statement is insufficient. So, we can eliminate options A and D.

Quote:
(2) b + c = 4
Similar reasoning can be applied to the analysis of (2) option. As we do not have a specified, we can play with its value.
If a = 3, the reply will be Yes.
If a = 1, the reply will be No.
So, we can eliminate option B as well.

We are left with C vs E, so then we need to analyze two statements together:

a + b = 3
b + c = 4

Let's sum these two statements: a + 2b + c = 7.

Let's again bring a few examples. Let's say b = 0, if so we do have a + 2* 0 + c = 7, the reply will be Yes.
If b does not equal to 0 AND we have a + 2b + c = 7, we can deduct that a + b + c != 7, the reply will be No.

Again, we have two different answers (Yes and No), so even together options (1) and (2) are not sufficient.

E is the answer.

Hope it helps :blushing
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