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26 Nov 2025, 22:11
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72% (01:47) correct
28%
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In a group of men, women, and children, the ratio of the number of women to the number of children is 4:1. What is the total number of people in the group?
(1) The ratio of the number of children to the number of men in the group is 3:5.
(2) The number of women in the group is between 30 and 40.
(1) The ratio of the number of children to the number of men in the group is 3:5.
(2) The number of women in the group is between 30 and 40.
26 Nov 2025, 23:45
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ExpertsGlobal5
In a group containing men, women and children.
Women : Children = 4:1 = 4x : x
We need to find the total number of people.
Statement 1:
(1) The ratio of the number of children to the number of men in the group is 3:5.
we know that Women : Children = 4x : x
Children to men = 3x : 5x
Men : Women : Children = 5x : 12x : 3x
Total = 5x + 12x + 3x = 20x
Hence, Insufficient.
Statement 2:
(2) The number of women in the group is between 30 and 40.
As per the question : Women = 4x
30 < 4x < 40
4x can be 4*8 = 32 OR 4*9 = 36
so, x can take values 8 or 9.
Hence, Insufficient.
Combining both Statements 1 and 2, we get
Men : Women : Children = 5x : 12x : 3x
and, 30 < Women < 40
30 < 12x <40
Thus, 12x = 12*3 = 36 is the only possible value.
Thus, x can take the value 3 ONLY.
Total = 5x + 12x + 3x = 20x = 20*3 = 60
So, the total number of people = 60
Hence, Sufficient
Option C
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27 Nov 2025, 00:21
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In a group of men, women, and children, the ratio of the number of women to the number of children is 4:1. What is the total number of people in the group?
statement 1
(1) The ratio of the number of children to the number of men in the group is 3:5. so from here we only say that ratio of women :children: men=12:3:5
but cannot calculate total people
Not sufficient
statement 2
(2) The number of women in the group is between 30 and 40.
we can get the no of women and children but not unique value
but can't get total value
when we combine
we know that women are between 30 and 40
so 12X can only take 36 as value
so x=3
hence we can calculate total value as 12X+3x+5x=20*3=60
Hence option C is correct
statement 1
(1) The ratio of the number of children to the number of men in the group is 3:5. so from here we only say that ratio of women :children: men=12:3:5
but cannot calculate total people
Not sufficient
statement 2
(2) The number of women in the group is between 30 and 40.
we can get the no of women and children but not unique value
but can't get total value
when we combine
we know that women are between 30 and 40
so 12X can only take 36 as value
so x=3
hence we can calculate total value as 12X+3x+5x=20*3=60
Hence option C is correct
