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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
78% (02:55) correct
22%
(03:00)
wrong
based on 121
sessions
History
Date
Time
Result
Not Attempted Yet
A class took two tests, one in Physics and one in Math.
A. 100
B. 75
C. 50
D. 25
E. 0
- 1/4 of the students failed in Physics.
- 60% of those who passed Physics also passed Math.
- If 300 students took both tests and 140 students passed exactly one of the two subjects,
how many students failed in both subjects?
A. 100
B. 75
C. 50
D. 25
E. 0
22 Dec 2025, 23:28
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Dream009
Please refer to the attached image:
We know \( a +b= 140\)
\(135 +a +b+x=300\)
\(135 +140 +x= 300\)
\(x=25\)
Ans D
Hope it helped.
WiziusCareers1
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Last visit: 15 May 2026
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02 Jan 2026, 07:18
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1. Determine Physics results
Total students: 300.
Failed Physics: (1/4) * 300 = 75 students.
Passed Physics: 300 − 75 = 225 students.
2. Determine Math results for those who passed Physics
Passed both Physics and Math: 60% of those who passed Physics = 0.60 × 225 = 135 students.
Passed Physics but failed Math: 225 − 135 = 90 students.
3. Analyze the "Exactly One Subject" constraint The problem states that 140 students passed exactly one subject. This group consists of two sub-groups:
Those who passed Physics but failed Math (already calculated as 90).
Those who passed Math but failed Physics.
Passed Math but failed Physics: 140 − 90 = 50 students.
4. Final Calculation: Failed in both subjects We know that a total of 75 students failed Physics. These 75 students are split into two groups:
Those who failed Physics but passed Math (calculated as 50).
Those who failed both Physics and Math.
Failed both subjects: 75 − 50 = 25 students.
Total students: 300.
Failed Physics: (1/4) * 300 = 75 students.
Passed Physics: 300 − 75 = 225 students.
2. Determine Math results for those who passed Physics
Passed both Physics and Math: 60% of those who passed Physics = 0.60 × 225 = 135 students.
Passed Physics but failed Math: 225 − 135 = 90 students.
3. Analyze the "Exactly One Subject" constraint The problem states that 140 students passed exactly one subject. This group consists of two sub-groups:
Those who passed Physics but failed Math (already calculated as 90).
Those who passed Math but failed Physics.
Passed Math but failed Physics: 140 − 90 = 50 students.
4. Final Calculation: Failed in both subjects We know that a total of 75 students failed Physics. These 75 students are split into two groups:
Those who failed Physics but passed Math (calculated as 50).
Those who failed both Physics and Math.
Failed both subjects: 75 − 50 = 25 students.
