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:
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:
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