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29 Sep 2025, 21:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:16) correct
38%
(01:27)
wrong
based on 146
sessions
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Not Attempted Yet
During a certain football season, Tom, Bela, and Amanda each scored at least one goal, and they scored a total of 16 goals. If Bela scored fewer goals than Tom scored, how many goals did Tom score?
(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season
(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season
30 Sep 2025, 02:27
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Let Tom = T, Bela = B, Amanda = A, and T + B + A = 16 with T, B, A ≥ 1 and B < T.
(1) B < 3 → B = 1 or 2.
But without A’s goals, T is not fixed. Could be multiple values. Not sufficient.
(2) A = 12 → T + B = 4, with B < T and both ≥ 1.
Possible pairs (T, B): (3,1). Unique value T = 3.
Sufficient.
Answer: B
(1) B < 3 → B = 1 or 2.
But without A’s goals, T is not fixed. Could be multiple values. Not sufficient.
(2) A = 12 → T + B = 4, with B < T and both ≥ 1.
Possible pairs (T, B): (3,1). Unique value T = 3.
Sufficient.
Answer: B
30 Sep 2025, 06:34
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Bunuel
Let the goals scored by Tom, Bella and Amanda be T, B, and A respectively.
The values of T, B and A are greater than or equal to 1.
B < T.
How many goals T scored ?
Statement 1:
(1) Bela scored fewer than 3 goals during the season.
T+B+A =16
if B =1, then ; T+A =15
if B =2, then; T+A =14
if B=3, then; T+A =13
The values of T can take any value from 1 to 14.
Hence, Sufficient.
Statement 2:
(2) Amanda scored 12 goals during the season
T+B+A =16
T+B = 4
B has to be less than T.
if B = 1, then T =3. ✅
if B= 2, then T = 2. Then, wrong.
if B = 3, then T = 1. Then, wrong.
Hence, Sufficient.
Option B
