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In a group of students, 1/5 are aged below 8 years. Of the remaining 2/5 are above 8 years. What fraction of the students are exactly 8 years of age?
  • a)
    12/25
  • b)
    2/5
  • c)
    3/5
  • d)
    4/25
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a group of students, 1/5 are aged below 8 years. Of the remaining 2...
Let the total number of students in the group be 1
Number of students who are below age 8 = 1 × 1/5 = 1/5
Remaining students = 1 – 1/5 = 4/5
Number of students who are above age 8 = 4/5 × 2/5 = 8/25
Number of students who are exactly 8 years old = 1 – 1/5 – 8/25 = 12/25
Short trick:
Let the total number of students be 25
Number of student who are below age 8 = 25 × 1/5 = 5
Remaining students = 25 – 5 = 20
Number of students who are above age 8 = 20 × 2/5 = 8
Number of students who are exactly age 8 = 25 – 5 – 8 = 12
Required fraction = 12/25
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