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13 May 2020, 09:07
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (00:51) correct
23%
(00:40)
wrong
based on 43
sessions
History
Date
Time
Result
Not Attempted Yet
If the students were awarded only three grades - A, B and C - how many students in the class got grade A?
(1) 20% of the class got grade B and 50% of the class got grade C.
(2) The 12 girls in the class make up 40% of the class.
Are You Up For the Challenge: 700 Level Questions
(1) 20% of the class got grade B and 50% of the class got grade C.
(2) The 12 girls in the class make up 40% of the class.
Are You Up For the Challenge: 700 Level Questions
13 May 2020, 20:46
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Bunuel
(1) 20% of the class got grade B and 50% of the class got grade C.
So, 100-20-30 or 30% class got grade A. But we do not know the strength of the class.
Insuff
(2) The 12 girls in the class make up 40% of the class.
So 12=40% of the class...class=12*100/40=30
BUt nothing about grades..
Insuff
Combined
Class strength = 30, 30% of class = 9
Suff
C
14 May 2020, 01:19
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Bunuel
Solution
Step 1: Analyse Question Stem
- • The students were awarded only three grades viz. A, B, and C.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: 20% of the class got grade B and 50% of the class got grade C.
- • % of class who got grade A \(= 100 – 50-20 = 30\)%
• However, the total number of students in the class is unknown.
- o Therefore, we cannot find the number of students who got grade A.
Statement 2: The 12 girls in the class make up 40% of the class.
- • Total number of students in the class \(= \frac{100*12}{40} = 30\)
• This statement does not give any information about the number or percentage of students who got A grade.
Step 3: Analyse Statements by Combining
From statement 1: % of class who got grade A \(= 30\)%
From statement 2: Total number of students in the class \(= 30\)
On combining the two statements, we get,
• Number of students who got grade A \(= \frac{30*30}{100} = 9\)
Thus, the correct answer is Option C.
