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03 Nov 2021, 06:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:44) correct
33%
(03:10)
wrong
based on 324
sessions
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In a village A, the ratio of the number of males to the number of females is 4:5 and the ratio of the number of males to the number of children is 3:2. In village B, the ratio of the number of children to the number of females is 2:5 and the number of males is 4 times of females. If the number of children is same in both the villages, what is the possible value of the number of males in village B?
A. 10
B. 20
C. 40
D. 80
E. None of these
A. 10
B. 20
C. 40
D. 80
E. None of these
03 Nov 2021, 08:22
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What we know:
Village A
M/F : 4/5
M/C : 3/2
Village B
C/F : 2/5
M = 4F
What we want to know:
Possible number of males in Village B
Control parameter:
Use Village A ratios to find the first number of children possible as an integer. Note, if there are 2 children, there are 3 males, then there is a fractional number of females which is not possible. Need all people in integers!
Options for Village A:
4 children, 6 males, fractional females
6 children, 9 males, fractional females
8 children, 12 males, 15 females (integer!)
Now, question stem says both villages have same number of children. So apply 8 children to Village B. If village B has 8 children, it must have 20 females (to get C/F : 2/5). Males are four times females, so village B has 80 males (4 * 20 females).
Answer is D, 80.
Village A
M/F : 4/5
M/C : 3/2
Village B
C/F : 2/5
M = 4F
What we want to know:
Possible number of males in Village B
Control parameter:
Use Village A ratios to find the first number of children possible as an integer. Note, if there are 2 children, there are 3 males, then there is a fractional number of females which is not possible. Need all people in integers!
Options for Village A:
4 children, 6 males, fractional females
6 children, 9 males, fractional females
8 children, 12 males, 15 females (integer!)
Now, question stem says both villages have same number of children. So apply 8 children to Village B. If village B has 8 children, it must have 20 females (to get C/F : 2/5). Males are four times females, so village B has 80 males (4 * 20 females).
Answer is D, 80.
14 Jan 2024, 09:42
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Seems like an interesting question but I need an alternate method to solve it. I was using fractions but obviously cannot solve it algebraically. Any help appreciated here.
