The number of students passing or failing in an exam are shown in the bar chart. Students who pass do not appear again. Students who fail must reappear the next year and always pass in their second attempt. Find the number of students who took the exam for the first time in Year 2 and Year 3.
The number of students passing or failing in an exam are shown in the bar chart. Students who pass do not appear again. Students who fail must reappear the next year and always pass in their second attempt. Find the number of students who took the exam for the first time in Year 2 and Year 3.
Show Hint
- 65 and 53
- 60 and 50
- 55 and 53
- 55 and 48
The Correct Option is D
Solution and Explanation
Step 1: Use Year 1 data.
Year 1: Pass = 50, Fail = 10.
Thus 10 failed students must appear again in Year 2.
Step 2: Use Year 2 totals.
Year 2: Pass = 60, Fail = 5 → total = 65.
Since 10 are repeaters:
\[
\text{New students in Year 2} = 65 - 10 = 55.
\]
Step 3: Use Year 3 data.
Year 2 failures = 5 → these 5 must appear again in Year 3.
Year 3: Pass = 50, Fail = 3 → total = 53.
Thus new students in Year 3:
\[
53 - 5 = 48.
\]
Step 4: Final result.
Number of first-time candidates:
Year 2 → 55
Year 3 → 48
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