In a Girls' High School, there were 200 students. Their results in the quarterly, half-yearly and annual examinations were as follows: 75 passed the half-yearly examination, and 25 passed all three, 46 failed all three. 80 passed the quarterly examination, 96 passed the annual examination. 29 passed the first two and failed in the annual examination. 42 failed in the first two but passed the annual examination. Find how many students passed at least two examinations.

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In a Girls' High School, there were 200 students. Their results in the
quarterly, half-yearly and annual examinations were as follows:
75 passed the half-yearly examination, and 25 passed all three, 46
failed all three.
80 passed the quarterly examination,
96 passed the annual examination.
29 passed the first two and failed in the annual examination.
42 failed in the first two but passed the annual examination. Find how
many students passed at least two examinations.
Transcribed Image Text:In a Girls' High School, there were 200 students. Their results in the quarterly, half-yearly and annual examinations were as follows: 75 passed the half-yearly examination, and 25 passed all three, 46 failed all three. 80 passed the quarterly examination, 96 passed the annual examination. 29 passed the first two and failed in the annual examination. 42 failed in the first two but passed the annual examination. Find how many students passed at least two examinations.
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