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A certain language school has two classes for children.

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A certain language school has two classes for children. [#permalink]

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New post 26 Jul 2016, 22:33
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A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?
(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.
(2) In each class, the average (arithmetic mean) age of the children is 10 years.

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Re: A certain language school has two classes for children. [#permalink]

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New post 27 Jul 2016, 00:51
NandishSS wrote:
A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?
(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.
(2) In each class, the average (arithmetic mean) age of the children is 10 years.


Statement 1 : Number of children and the age of the youngest child do not provide us any information on the age of the eldest child of any of the class. INSUFFICIENT.

Statement 2 : Average Age doesn't tell us anything about the age of youngest and eldest child.--- INSUFFICIENT.

Combining 1 and 2 , We know that the sum of the ages in the two classes if 180(18*10), but still we are not sure if ages have any pattern or not.

Thus, Answer is E.
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Re: A certain language school has two classes for children. [#permalink]

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New post 28 Jun 2017, 21:00
abhimahna wrote:
NandishSS wrote:
A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?
(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.
(2) In each class, the average (arithmetic mean) age of the children is 10 years.


Statement 1 : Number of children and the age of the youngest child do not provide us any information on the age of the eldest child of any of the class. INSUFFICIENT.

Statement 2 : Average Age doesn't tell us anything about the age of youngest and eldest child.--- INSUFFICIENT.

Combining 1 and 2 , We know that the sum of the ages in the two classes if 180(18*10), but still we are not sure if ages have any pattern or not.

Thus, Answer is E.


Could someone explain why statements 1+2 is still insufficient?

Given info:
Youngest child in each class = 8
Average = 10
number of children = 18
sum = 180

Since we know the youngest age, and the average, the oldest age would just be equidistant from that average, no?
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Re: A certain language school has two classes for children. [#permalink]

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New post 29 Jun 2017, 09:27
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iyera211 wrote:
abhimahna wrote:
NandishSS wrote:
A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?
(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.
(2) In each class, the average (arithmetic mean) age of the children is 10 years.


Statement 1 : Number of children and the age of the youngest child do not provide us any information on the age of the eldest child of any of the class. INSUFFICIENT.

Statement 2 : Average Age doesn't tell us anything about the age of youngest and eldest child.--- INSUFFICIENT.

Combining 1 and 2 , We know that the sum of the ages in the two classes if 180(18*10), but still we are not sure if ages have any pattern or not.

Thus, Answer is E.


Could someone explain why statements 1+2 is still insufficient?

Given info:
Youngest child in each class = 8
Average = 10
number of children = 18
sum = 180

Since we know the youngest age, and the average, the oldest age would just be equidistant from that average, no?


No, it is not necessary that the eldest child will have an age that is equidistant from the average.

Let us take 2 examples.

1) We know that the sum of the ages of all students is 180 and of youngest child is 8
Let us assume that all the children except the youngest and eldest children are of age 9
Then,
Y+9*16+E=180 (Y denotes the age of the youngest and E denotes the age of the eldest)
8+144+E=180
E=180-144-8=28

2) Now let us assume that all the children except the youngest and eldest children are of age 10
Y+10*16+E=180
8+160+E=180
E=12

So we see that it depends on the age of the remaining 16 students what the age of the eldest would be
Since we cannot determine the age of the eldest child, we cannot determine the range even by using both the statements

Answer E

Hope it is clear.
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Re: A certain language school has two classes for children. [#permalink]

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New post 29 Jun 2017, 14:30
A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?

(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.

From this we know the number of children and the lowest age in the class, this still does not help us to determine the range of the ages.

Hence, (1) =====> is NOT SUFFICIENT

(2) In each class, the average (arithmetic mean) age of the children is 10 years.

With this we know the average age of 10 years however, this still does not give us the range of ages which we are looking for.

Hence, (2) =====> is NOT SUFFICIENT

Combining (1) & (2)

We know total children = 18 and Average Age = 10 - with this we can calculate the total age of the students = 180 years.

However, we will still not be able to determine the range of the ages with the given infiormation, even after considering the lowest age is 8 years information.

Hence, combined (1) & (2) =====> is NOT SUFFICIENT

Hence, Answer is E
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Re: A certain language school has two classes for children. [#permalink]

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New post 10 Sep 2017, 22:06
NandishSS wrote:
A certain language school has two classes for children. Is the range of ages, in years, of the children in the first class equal to the range of ages, in years, of the children in the second class?
(1) In each class, the number of children is 18 and the age of the youngest child is 8 years.
(2) In each class, the average (arithmetic mean) age of the children is 10 years.


This is essentially the same question as - https://gmatclub.com/forum/hospital-h-c ... 20594.html

St 1 and St 2

Even if we know the minimum of the set and sum of each class the max of each class could vary widely

E
Re: A certain language school has two classes for children.   [#permalink] 10 Sep 2017, 22:06
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