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03 Nov 2019, 02:37
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C
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Difficulty:
95%
(hard)
Question Stats:
57% (03:28) correct
43%
(03:44)
wrong
based on 321
sessions
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In a survey among students, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee ans tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then, the ratio of number of students who like only coffee to the number who like only tea is
A. 5:3
B. 8:9
C. 2:3
D. 3:2
E. None of these
Are You Up For the Challenge: 700 Level Questions
A. 5:3
B. 8:9
C. 2:3
D. 3:2
E. None of these
Are You Up For the Challenge: 700 Level Questions
03 Nov 2019, 03:15
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x are those who prefer all three.
100-6= 48+54+64-28-32-30+x
x=18
Students who like Only coffee= 48-28-30+18=8
Students who like Only tea= 54- 28-32+18=12
Ratio= 8/12=2/3
100-6= 48+54+64-28-32-30+x
x=18
Students who like Only coffee= 48-28-30+18=8
Students who like Only tea= 54- 28-32+18=12
Ratio= 8/12=2/3
Bunuel
03 Nov 2019, 03:28
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Bunuel
Let number of people who like Coffee, Tea & Smoke be C, T & S respectively.
Let the number of people who like all the 3 = X
As per the below Venn diagram,
Formula: Total(%) = '0' Category + C + T + S - (Exactly 2 category) - 2(Exactly 3 Category)
--> 100 = 6 + 48 + 54 + 64 - (28 - X + 30 - X + 32 - X) - 2X
--> 100 = 6 + 166 - 90 + X
--> 100 = 82 + X
--> X = 18
Required ratio = (18 - 10) : (18 - 6) = 8 : 12 = 2 : 3
IMO Option C
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