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09 Oct 2021, 07:18
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:10) correct
26%
(02:27)
wrong
based on 147
sessions
History
Date
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Result
Not Attempted Yet
In an exam, 90% passed History and 85% passed English. If none of the students failed in both subjects and 225 passed in both subjects, calculate the number of students who have attended the exam.
(A) 250
(B) 275
(C) 300
(D) 325
(E) none of these
Posted from my mobile device
(A) 250
(B) 275
(C) 300
(D) 325
(E) none of these
Posted from my mobile device
09 Oct 2021, 07:39
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IMO - Correct Option C
P(x) The number of student appear be x.
P(H) Student passed History = 0.9x
P(E) Student passed English = 0.85x
~ P(H and E) Student failed both - 0 -
P(H and E) Student passed both = 225
Set theory
P(x) = P(H) + P(E) + ~P(H and E) - 225
P(x) = 0.9x + 0.85 + 0 - 225
x = 1.75x - 225
1.75x - x = 225
0.75x = 225
X = \(\frac{225}{.75}\)
X = 300
Posted from my mobile device
P(x) The number of student appear be x.
P(H) Student passed History = 0.9x
P(E) Student passed English = 0.85x
~ P(H and E) Student failed both - 0 -
P(H and E) Student passed both = 225
Set theory
P(x) = P(H) + P(E) + ~P(H and E) - 225
P(x) = 0.9x + 0.85 + 0 - 225
x = 1.75x - 225
1.75x - x = 225
0.75x = 225
X = \(\frac{225}{.75}\)
X = 300
Posted from my mobile device
09 Oct 2021, 23:41
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Emdad
\(\frac{100*225}{(90 + 85 - 100)} = 300\), Answer must be (C)
