Event:
1 2 3 4 5 6 7 8
Total Points: 36
Question: is A>B

St:-1
Team A won 7th, 8th and one more:
Total point can be 15 + 1=16 ( if 1st game won by A)
Then A<B
Total point can be 15 + 6=21 ( if 6th game won by A)
Then A>B
Not sufficient.

St:-2
Team B won: 3rd 4th and 5th
We don’t have total win by B.
Not sufficient.

A: 7th 8th and 1st total: 16.
B: 3rd 4th 5th total: 12
Remaining 2 games can be decider so wedont have that information.
Combine also we don’t have enough Info.
E.

The question's answer is correct. If for (2) we were given "B won ONLY .... " then that automatically means Team A won events 1~2, and 6~8, thus (2) would be sufficient.

Getting that out of the way, let us look at the original question. There are 8 events in total for a total worth of 1 + 2 + ... + 7 + 8 = 4 * (9) = 36 points. Thus whoever wins more than 18 points wins.

(1) is insufficient. A can win at most 7 + 8 + 6 > 18, or at least 7 + 8 + 1 < 18. So we don't know who wins yet.
(2) is insufficient. B can win at least 3 + 4 + 5 < 18. Or all of them of course which is more than 18. Insufficient.
(3) we still have A earning 7 + 8 + 6 at most, or 7 + 8 + 1 at least. Same situations in (1) so still insufficient.

Ans: E
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Yes agree with you, answer should be B.
I think its taking into consideration that B won more points apart from these three events in statement 2.
There is something to do with the language of the question, Maybe we should post this question in Verbal section..

My solution:

8 Event:
Total Points:1+2+3+4+5+6+7+8= 36
Total Points A received > Total Points B received ?

Statement 1:
If team A won 7th and 8th event, points= 8+7=15
Now A won atleast 1 more event so it could be any number of events apart from these two.

if it A won 1st event, Total Point A received= 15+1=16
Then Total Points B received= 36-16=20
Points A< Point B, No

If A won 6th event
Total Point A received= 15+6= 21
Total Point B received= 36-21= 15
Points A> Points B, Yes

No definite yes or no, Insufficient.

Statement 2:
Team B won the third, fourth, and fifth events, total points= 3+4+5 =12
Total Points A= 36-12=24
Points A> Point B, Sufficient

Answer: B

The total points to be distributed are 8*9/2 = 36

(1) Team A won the seventh and eighth events and at least one other event.

Worst case for Team A:
Team A = 7 + 8 + at least 1 = 16 points
Team B could have received the other 36 - 16 = 20 points.

Best case for Team A:
or Team A could have won all events.

Not sufficient.

(2) Team B won the third, fourth, and fifth events.

There is ambiguity here. I am not sure whether they mean that teamB won only 3rd, 4th and 5th events. Or that these 3 events were won by team B and we can't say anything about the rest of the events.

Ignore.
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Even for me at first glance at st-2, I thought whether B won only 3,4, and 5.
The addition of "only" can make big difference here.

This is similar to problem in overlapping sets for 03 characteristics.
When I say people who love to play A and B are 100. As this statement doesn't specify only so it includes only A and B plus all A, B and C.
Only is very important here.

Similar problem is faced in calculation of probability or PnC.

Hope my point is valid for given Q context!

Statement A is not sufficient. Answer could be B but the statement is ambiguous.

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