English exam and Math exam were conducted separately for a class of 120 students. The number of students who did not appear for the English exam is twice the number of students who did not appear…
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English exam and Math exam were conducted separately for a class of 120 students. The number of students who did not appear for the English exam is twice the number of students who did not appear for the Math exam. The number of students who passed the Math exam is twice the number of students who appeared but failed the English exam. If the number of students who passed the English exam is twice the number of students who appeared but failed the Math exam, then the number of students who appeared but failed the English exam is __________
- 40
- 30
- 60
- 80
Answer and explanation
Correct answer: A - 40
There were English failures. If is the number absent from Math and are the English and Math failure counts, the two totals are and . Subtracting gives , so the Math total is . Dividing by two to get overlooks the group of students who were absent from or failed Math.
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