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22 Aug 2019, 07:09
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B
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Difficulty:
25%
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Question Stats:
78% (01:38) correct
22%
(01:49)
wrong
based on 108
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The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Is the age of a child in Group A less than the age of a child in Group B?
(1) The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
(2) The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
Updated on: 22 Aug 2019, 07:32
Originally posted by freedom128 on 22 Aug 2019, 07:12.
Last edited by freedom128 on 22 Aug 2019, 07:32, edited 3 times in total.
Last edited by freedom128 on 22 Aug 2019, 07:32, edited 3 times in total.
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Let's define as follows:
age of every child in Group A = a
age of every child in Group B = b
Q. a < b?
(1) 3a + 2b < 2a + 4b
--> a < 2b
If a=3, b=4, then a < 2b and a < b (ok)
If a=3, b=2, then a < 2b but a > b (no)
NOT SUFFICIENT
(2) 4a + 3b < 3a + 4b
--> a < b. This statement exactly addresses the question
SUFFICIENT
Answer is (B)
age of every child in Group A = a
age of every child in Group B = b
Q. a < b?
(1) 3a + 2b < 2a + 4b
--> a < 2b
If a=3, b=4, then a < 2b and a < b (ok)
If a=3, b=2, then a < 2b but a > b (no)
NOT SUFFICIENT
(2) 4a + 3b < 3a + 4b
--> a < b. This statement exactly addresses the question
SUFFICIENT
Answer is (B)
Archit3110
Updated on: 22 Aug 2019, 07:46
Originally posted by Archit3110 on 22 Aug 2019, 07:37.
Last edited by Archit3110 on 22 Aug 2019, 07:46, edited 1 time in total.
Last edited by Archit3110 on 22 Aug 2019, 07:46, edited 1 time in total.
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The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Is the age of a child in Group A less than the age of a child in Group B?
(1) The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
(2) The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
group A ; x and group B ; y
so to determine whether y>x?
#1The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
3x+2y<2x+4y
x<2y insufficient
#2
The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
4x+3y<3x+4y
we get ; x<y ; sufficient
IMO B
(1) The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
(2) The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
group A ; x and group B ; y
so to determine whether y>x?
#1The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
3x+2y<2x+4y
x<2y insufficient
#2
The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
4x+3y<3x+4y
we get ; x<y ; sufficient
IMO B
