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The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 07:09
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77% (01:37) correct 23% (01:54) wrong based on 57 sessions
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Competition Mode Question 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.
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Re: The ages of all children in Group A are the same, and the ages of all
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Updated on: 22 Aug 2019, 07:32
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)
Originally posted by chondro48 on 22 Aug 2019, 07:12.
Last edited by chondro48 on 22 Aug 2019, 07:32, edited 3 times in total.



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Re: The ages of all children in Group A are the same, and the ages of all
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Updated on: 22 Aug 2019, 07:46
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
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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.



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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 07:39
IMOB
Let Age of childrens in Grp A= x & Grp= y
Statement 1: 3x + 2y < 2x + 4y = x < 2y Not sufficient
Statement 2: 4x + 3y < 3x + 4y x < y Sufficient



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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 08:32
Quote: 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. Given: The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Asked: Is the age of a child in Group A less than the age of a child in Group B? Let the age of a child in Group A be a and in Group B be b. Q. a<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. 3a + 2b < 2a + 4b a < 2b > b NOT SUFFICIENT (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. 4a + 3b < 3a + 4b a < b SUFFICIENT IMO B
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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 10:09
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. Let age of children in group A = A Age of children in group B = B A < B ? Statement 1) 3A + 2B < 2A + 4B 3A – 2A < 4B – 2B A < 2B Hence A > B or A < B INSUFFICIENT. Statement 2) 4A + 3B < 3A + 4B 4A – 3A < 4B – 3B A < B SUFFICIENT Answer (B).
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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 12:18
From question stem all children in Grp A have the same age, say A,and all children in Grp B have the same age, say B.
From statement 1, 3A+2B<2A+4B Meaning A<2B. Not sufficient since if A=4, and B=3,A>B although A<2B. And if A=4 and B=5, A<B and A<2B.
From 2, 4A+3B<3A+4B Meaning A<B. This is sufficient since we can answer yes, that a child in Group A has an age less than that in Grp in Grp B.
Answer is therefore B.
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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 12:45
This question is easy to understand if you plot point on Number line and check average and weigh which side will be more if positions or weight is altered. IMO :D Lets see what OA says.



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Re: The ages of all children in Group A are the same, and the ages of all
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22 Aug 2019, 21:57
Ans B option B tells A<B hence sufficient



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Re: The ages of all children in Group A are the same, and the ages of all
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23 Aug 2019, 05:08
IMO B is the answer Let age of each student in GRP A= 'A' & in GRP B = 'B' cond 1 states that  3A +2B < 2A+ 4B ON SOLVING A<2B  THUS THIS DOESN'T TELL US THE RELATION BETWEEN A & B AS IF (A,B) = (3,2) OR (2,3) cond 2 states that 4A+3B < 3A+4B ON SOLVING WE GET A<B Hence B alone is sufficient to answer the question.
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Re: The ages of all children in Group A are the same, and the ages of all
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23 Aug 2019, 05:37
Group A={a,a,a,a...} > Let ' a ' be the age of a child
Group B={b,b,b,b...} > Let ' b ' be the age of a child
is a< b ??
Statement1: 3a+ 2b<2a+4b > a<2b NO info about what a and b are: if a=3 and 2b=8, then a< b (yes) if a=3 and 2b=4, then a> b (no) > insufficient
Statement2: 4a+ 3b< 3a+4b a< b > Sufficient
The answer is B.



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Re: The ages of all children in Group A are the same, and the ages of all
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23 Aug 2019, 06:12
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? Age of children in Group A = x, Age of children in Group B = y. Is x < y ?
(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. > 3x+2y < 2x+4y > x<2y > (i) assume x = 7 yrs and y = 4 yrs > 7 < 2*(4) > however, x is not less than y > (ii) assume x = 2 yrs and y = 4 yrs > 2 < 2*(4) > however, x is less than y no unique solution, so Answer is not A
(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 > x<y and this is what the question asks.. > so, definitely x<y B is the Answer




Re: The ages of all children in Group A are the same, and the ages of all
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