Hi SimantaSourav,Great question, and since you already see why E holds, let's use that to reverse-engineer a C.
Remember, two separate things are blocking sufficiency here:
1. The stem says Chris's criteria
"included" size and price - so there might be
other criteria we don't know about. Even a monitor that clears both stated bars might still lose on some hidden factor.
2. Even ignoring that, Statement (
2) only tells us B's screen is
less than A's, not whether B clears
32". So if both A and B qualify, there's no tiebreaker and we can't say which he'd pick.
To get to
C, you have to close
both gaps. So imagine the question rewritten like this:
- Change the stem to:
"Chris's only two purchase criteria were screen size (at least 32 inches) and price (at most $400)."- Change Statement (
2) to:
"Monitor B's screen size was less than 32 inches." (keep the
$390 price)
Now watch it work:
Statement (1) alone: A clears
32" and costs less than B, but B's price is unknown, so A's price could still blow past
$400.
Not sufficient.Statement (2) alone: B fails the size bar, but we know nothing about A's size or price - could be A, could be neither.
Not sufficient.Together: A clears
32", and A costs
less than B's
$390, so A is under
$400 too - A qualifies. B fails on size, so B is out. Chris buys
A. Definite answer -
C.
The key is that C requires the givens to force a
single determinate outcome. Lock the criteria to "only these two" and force exactly one monitor to qualify, and the ambiguity that produces E disappears.
Answer: ESimantaSourav
I understand why E is the answer here, but can anyone tell me if the question would have been ___ then C would have been the answer?