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06 Feb 2025, 01:30
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D
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Difficulty:
75%
(hard)
Question Stats:
48% (01:54) correct
52%
(02:06)
wrong
based on 124
sessions
History
Date
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Not Attempted Yet
There are a total of 200 students. Each student must take at least one of the three languages: German, French, or Spanish. Among them, 100 students take German, and none of the students who take French also take Spanish. The goal is to determine how many students take exactly two of the three languages.
(1) 80 students take only German.
(2) 120 students take either French or Spanish.
(1) 80 students take only German.
(2) 120 students take either French or Spanish.
06 Feb 2025, 02:55
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\(G, F \) & \( S\) are the three languages.
Since French takers didn't take Spanish, students took only \(GS\) & \(GF\) as multiple languages and none of them take all three languages
Statement 1: 80 students take only German.
Out of 100, 80 took only \(G\). Remaining 20 either took \(GF\) or \(GS\)
Sufficient
Statement 2: 120 students take either French or Spanish.
\(F+S=120\)
\(200=G+F+S-(GS+GF)= 100+120-(GS+GF) \)
\({GS+GF}=20\)
Sufficient
Answer: D
Since French takers didn't take Spanish, students took only \(GS\) & \(GF\) as multiple languages and none of them take all three languages
Statement 1: 80 students take only German.
Out of 100, 80 took only \(G\). Remaining 20 either took \(GF\) or \(GS\)
Sufficient
Statement 2: 120 students take either French or Spanish.
\(F+S=120\)
\(200=G+F+S-(GS+GF)= 100+120-(GS+GF) \)
\({GS+GF}=20\)
Sufficient
Answer: D
06 Feb 2025, 03:20
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Given,
Total = 200
None = 0
All 3 = 0, since none of the students who take French also take Spanish
G = 100
SF = 0
Statement 1:
Only G = 80
G - Only G = Exactly 2 language (GS+GF, as SF = 0)
Exactly 2 language = 100-80 = 20
B,C E is out
Statement 2:
T = G + S + F - B
200 = 100 +120 - B
B = 20
Answer is D
Total = 200
None = 0
All 3 = 0, since none of the students who take French also take Spanish
G = 100
SF = 0
Statement 1:
Only G = 80
G - Only G = Exactly 2 language (GS+GF, as SF = 0)
Exactly 2 language = 100-80 = 20
B,C E is out
Statement 2:
T = G + S + F - B
200 = 100 +120 - B
B = 20
Answer is D
Bunuel
