Question : Directions: In a class, 80% of the students passed an examination. Out of these successful candidates, 27% of the students passed in the first division and 43% passed in the second division. A total of 90 students failed in the examination. How many students from the class passed in the third division?
Option 1: 120
Option 2: 108
Option 3: 125
Option 4: 110
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Correct Answer: 108
Solution :
Given:
80% of the students passed an examination.
20% of students failed in an examination = 90
If 20% = 90
1% = 90 ÷ 20
1% = 45
100% = 450
80% = 360
27% of the students passed in the first division = 27% of 360
= 97.2
43% passed in the second division = 43% of 360
= 154.8
The number of students who passed in the third division = 360 – (97.2 + 154.8)
= 360 – 252
= 108
So, the number of students passing the third division is 108. Hence, the second option is correct.
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