Direction: Study the following information carefully to answer the given questions. |
The total population of three villages A, B and C together is 80.000 and the ratio of their population is 5:4:7. Out of the total population of village A, the age of 16% of villagers is equal to 61 years or more, the age of 36% of villagers is equal to or more than 3 years but less than 61 year and the age of the remaining village B, the age of one fifth of villagers is equal to 61 years or more. The age of \[\frac{12}{25}\] of the remaining villagers is equal to or more than 31 years but less than 61 years and the age of the remaining villagers is less than 31 years. In village C, the number of villagers whose age is equal to 61 years or more is 50% more than the difference between the numbers of villagers in village A whose age is less than 31 years and that in village B. The number of villagers whose age is equal to or more than 31 years but less than 61 years is 80% more than that in village A in the same age group. The age of the remaining villagers is less than 31 years. |
A) 15
B) 20
C) 5
D) 25
E) 18
Correct Answer: A
Solution :
Village | Total population | Ages | ||
A | 5/1680000=25000 | 16%of 25000=16250=4000 | 36%of 25000=36250=9000 | 25000-(4000+9000)=25000-13000=12000 |
B | 4/1680000=20000 | 1/520000=4000 | 20000-4000=(16000) 12/25=7680 | 20000-(4000+768)=8320 |
C | 7/1680000=35000 | 150%of (12000-8320)=3/23680=5520 | 180%of 9000=18090=16200 | 35000-(5520+16200)=13280 |
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