In a class of 180 students, 110 students passed in chemistry and 120 students failed in
Mathematics. 30 students failed in both the subjects.
180 छात्रों की एक कक्षा में, रसायन विज्ञान में 110 छात्र सफल और गणित में 120 छात्र असुफल रहे। दोनों
विषयों में 30 छात्र फेल हुए।
89
How many students in the class failed in at least one subject?
कम से कम एक विषय में कक्षा में कितने छात्र फेल हुए?
(a) 120
160
(c) 140
(d) 180
90
How many students failed in Chemistry only?
केवल रसायन विज्ञान में कितने छात्र फेल हुए?
40
(b) 20
(c)30
(d) 60
OF
91
How many students failed in Mathematics but passed in Chemistry?
कितने छात्र गणित में फेल हुए लेकिन रसायन विज्ञान में उत्तीर्ण हुए।
(c) 80
(b) 50
(d901
(a) 60
92
How many students passed in at least one subject?
कम से कम एक विषय में कितने छात्र उत्तीर्ण हुए?
(c) 140
150
(d) 170
(a)120
Answers
in first the answer will be 120 (a)
Given : In a class of 180 students, 110 students passed in chemistry and 120 students failed in Mathematics. 30 students failed in both the subjects.
To Find : How many students in the class failed in at least one subject?
How many students failed in Chemistry only?
Solution:
Total Students n(S) = 180
passed in chemistry n(C) = 110
Failed in chemistry = n(C') = 180 - 110 = 70
Failed in Mathematics = n(M') = 120
passed in Mathematics n(M) = 180 - 120 = 60
failed in both the subjects. n(C' ∩ M') = 30
Students in the class failed in at least one subject?
n(C' U M' ) = n(C') + n(M') - n(C' ∩ M')
= 70 + 120 - 30
= 160
students failed in Chemistry only
n(C') - n(C' ∩ M')
= 70 - 30
= 40
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