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Let's notate as follows

children as c
teenagers as t
young adults as ya
middle-aged adults as ma
and senior citizens as sc

From left to right, the seatings be

1     2      3     4     5     6      7      8      9

From the given infromation, we know that

1     2      3     4     5     6      7      8      9
ya    t      ya

From this statement first or the last seat is occupied by a senior citizen, we can infer the below 

1     2      3     4     5     6      7      8      9
ya    t      ya                                          sc

we are given that senior citizen is the only individual in that age group; so we have only one sc 

From this statement there are fewer teenagers than children, young adults, or middle-aged adults, we can infer that  t < c, ya, ma

From this statement there are more middle-aged adults than individuals of any other age group, we can infer that ma > c, t, ya, sc 

We know that there are 2 yas, then there must be at least 3 mas

In order to satisfy the above two conditions, we will need to look at the below arrangement with the condition that No two individuals from the same age group are sitting next to each other. 


1     2      3     4     5     6      7      8      9
ya    t     ya   ma   c    ma     c     ma   sc

Therefore, both the fifth and seventh individuals are children. 
­
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Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

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Number of Individuals in Each Age Group:
  • Senior Citizen (S): Exactly 1 (occupies the first or last seat).
  • Middle-aged Adults (M): More than any other group.
  • Teenagers (T): Fewer than children, young adults, or middle-aged adults.
  • Children (C) and Young Adults (Y): More than teenagers but fewer than middle-aged adults.

Constraints:
  • The first or last seat is occupied by the senior citizen.
  • No two individuals from the same age group are next to each other.
  • The first three seats from the left are occupied by a young adult, a teenager, and another young adult (Y, T, Y).

Determining Positions:
  • Given positions: 1st (Y), 2nd (T), and 3rd (Y).
  • We need to ensure no two individuals from the same age group sit next to each other.
  • Since the 1st seat is already taken by a young adult, the senior citizen must be in the 9th seat.
  • There must be more middle-aged adults than any other group.

Possible arrangement for the remaining seats:
  1. Y
  2. T
  3. Y
  4. M
  5. C
  6. M
  7. C
  8. M

In this case:

S: 1 - Exactly 1
T: 1 - Fewer than children, young adults, or middle-aged adults.
Y: 2 - More than teenagers but fewer than middle-aged adults.
C: 2 - More than teenagers but fewer than middle-aged adults.
M: 3 - More than any other group.

Fifth individual: Children (C)
Seventh individual: Children (C)­
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Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

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With the given information below can be inferred:
1 from each C,T, YA,MA, and SC.
Also, MA>C/YA>T; With this, we can guess: MA-3, C/YA-2, SC/T-1
And the arrangement as:
YA,T,YA, _ ,_ , _ , _ , _ , SC
YA,T,YA, MA ,_ , MA , _ , MA , SC
So, C will be on 5th and 7th.
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Let children = C
teenagers = T
young adults = Y
middle-aged adults = M
senior citizens = S

Given: First three individuals from the left are a young adult, a teenager, and another young adult. And last one is Senior citizen.

Y T Y .... .... .... .... .... S

Also, given that, There are more middle-aged adults than individuals of any other age group.

Therefore, There can't be more than two Y or M or C. Since, there are only 5 positions left to be filled.

And M should be more than 2.

Therefore,

If we give fourth position to M, because M has highest no. so it should be more than 2.

ie. M should be at least be 3 times

Hence,

Y T Y .M. .C. .M. .C. .M. S
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Answer is M and M for fifth and seventh placement. Since the quantity of M is highest. M should be atleast 3 with t and s being 1.
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­Given the constraints and initial positions (1st: Y, 2nd: T, 3rd: Y, 9th: S), we must distribute the groups such that no two from the same group sit next to each other. Placing middle-aged adults (M) in the remaining positions (4th, 6th, 8th) and filling the rest with children (C), the 5th and 7th individuals from the left are children.

Fifth individual: Child (C)
Seventh individual: Child (C)
­
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By Trial and error, the order of people sitting next to each other from right to left is,

1. Young Adult, 2. Teenager, 3. Young Adult, 4.Middle Aged, 5. Child, 6. Middle Aged 7. Child 8. Middle Aged, 9. Senior Citizen

This satisfies all the given conditions.
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­From the question stem we can get following information,

There are 9 individuals. 
They are from children, teenagers, young adults, middle-aged adults, and senior citizens. 
No two individuals from the same age group are sitting next to each other.
There are more middle-aged adults than individuals of any other age group.
There are fewer teenagers than children, young adults, or middle-aged adults.
The first three individuals from the left are a young adult, a teenager, and another young adult.
The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. 

Now, we know that first seat is occupied by a young adult. So, last seat will be occupied by senior citizen.
Current formation,
YA-1, Teen-1, YA-2, _ , _ , _ , _ , _ , Senior-1

Now, if we are given that there are 2 YA, then number of Middle aged adults must be 3. As if they are 4, then 2 must sit together next to each other. And if there are 3 middle aged adults then only possible formation is,

YA-1, Teen-1, YA-2, MA-1 , _ , MA-2 , _ , MA-3 , Senior-1
 
Now, We cannot take another YA as we will be forced to increase MA too. Now, we cannot increase teenagers too as we will need to increase YA and then MA because there are fewer teenagers than children, YA and MA. 

So only possible solution is 2 childrens. 

Then final formation will look like, 
YA-1, Teen-1, YA-2, MA-1 , Children-1 , MA-2 , Children-2 , MA-3 , Senior-1

So final answer,
Children for 5th and 7th place.

 ­
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­Conditions :
Senior Citizens at corners.
Middle Aged greater than any age grp.
Teenager < Children , young and middle aged. and senior citizen 1.

We can deduce that 
S= 1, T=1, C=2, Y=2,M=3

If arrange in the order given by argument

Y T Y _ _ _ _ _ S

Now we need to choose positions for C and M such that no C/M are together.

Only possible way is 

Y T Y M C M C M S

Hence 5th position from left is C, and 7th is C
 
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Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

­
 


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A total of 9 individuals are there, let's find how many individuals we have in each age category, we are given that
Senior Citizen (S) = 1
Middle Aged adults (M) = highest = x
Teenagers (T)= y
Children (C)= z
Young adults (Y) = w
and y<x, y<w and y<z

Thus if each category has at least one individual and if we assume y=1, x= 3 ( should be highest), w=2 and z=2, we already have the sum 9. So this is the only possibility, thus;
S(1), M(3), T(1), C(2), Y(2)

Now let's try to find the seating arrangement. One Senior citizen is at the end of the row and the first three individuals from the left are a young adult, a teenager, and another young adult, therefore we have;

Y : T : Y : _ : _ : _ : _ : _ : S

We are only left with the three middle aged adults (M) and two children, since two individuals from the same age group cannot be adjacent, MCMCM is the only possible combination for the five vacant seats.

Y : T : Y : M : C : M : C : M : S

Now we can answer the questions. Fifth individual from the left is one among the Children, seventh individual from the left is one among the Children.

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Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

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Conditions Given
  • Nine individuals are sitting
  • at least one from each of five age groups
    • Inference = 5 out of 9 people are C, T, Y, M, S
  • Senior Citizen
    • who is the only individual in that age group
    • first or the last seat is occupied by a senior citizen
    • Inference = there is 1 S and is stitting in the last seat
  • No two individuals from the same age group are sitting next to each other
  • There are more middle-aged adults than individuals of any other age group
    • Inference = There are 3 M to be seated
  • fewer teenagers than children, young adults, or middle-aged adults
    • Inference = There is 1T, 2C, 2Y, 3M
  • first three individuals from the left are a young adult, a teenager, and another young adult
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Current Sitting Y T Y ? ? ? ? ? S
  • People left to be seated = 2C, 3M. Using the condition, No two individuals from the same age group are sitting next to each other
Possible Sitting Y T Y M C M C M S

Hence,
  • 5th person from left = C ie Children
  • 7th person from left = C ie Children
­
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Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

From left, first three individuals from the left are a young adult, a teenager, and another young adult, the first or the last seat is occupied by a senior citizen, only one S
So we have Y T Y _ _ _ _ _ S

There are more middle-aged adults than individuals of any other age group.
We have already 2Y, so we need 3M
Y T Y M _ M _ M S
There are fewer teenagers than children, young adults, or middle-aged adults
C > T, there are 2 places left for C
Y T Y M C M C M S
So the 5th and 7th is both Children
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­Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.


(Left to Right)
1. Young Adult (The first three individuals from the left are a young adult, a teenager, and another young adult.)
2. Teenager (The first three individuals from the left are a young adult, a teenager, and another young adult.)
3. Young Adult (The first three individuals from the left are a young adult, a teenager, and another young adult.)
4. Middle Aged (There are more middle-aged adults than individuals of any other age group.)
5. Children
6. Middle Aged
7. Children
8.Middle Aged
9. Senior Citizen - Can not sit on first because others have occupied that seat (The first three individuals from the left are a young adult, a teenager, and another young adult.)

On 5, Senior Citizens can not sit because he is 1 in number. Already seated.
Middle aged can not sit because he can not sit next to same category.
Young adult can not sit otherwise his number ll become equal to Middle aged.
Teenager can not sit because his number should be less than Young adults.
So child can sit. All conditions satisft.
On 7, same justification as above. Only child can sit.
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Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

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­ Y T Y is start 
so S (senior) at the other end 

then according to the the statemnet 
i came to conclusin that 

3 m and 2 C are left , so they cant come together , to 
YTYMCMCMS

so 5th is c
7th also C

Both the fifth and seventh individuals from the left on the dais are from the children age group (C). This selection aligns with the rule that no two individuals from the same age group are sitting next to each other, and considering the initial sequence of individuals provided (YTY followed by MCMCMS with S at the end)
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there are total 9 seats available, let's suppose on 1st one a senior citizen is seating, followed by young adults, teenager, and young adult as given by question. On the left 5 seats the only possible people could be seating are 3 middle aged adult and 2 children to satisfy the condition provided in the question that teenager is fewer than children , young adults and middle aged adults, and middle aged adults number are more than any age groups. Only possible configuration will be senior-citizen, young-adult, teenager, young-adult, middle-aged-adult, children, middle-aged-adult, children, middle-aged-adult. If we consider senior citizen on last seat more than one configuration is possible
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To answer this question, we can begin by drawing up 9 blank spaces that we will have to fill out.

___ ___ ___ ___ ___ ___ ___ ___ ___

From the 9, it is clear that awardees include AT LEAST one from each of the five age groups (I have used abbreviations): C (children), T (teenagers), Y (young adults), M (middle-aged adults) and S (senior citizens). So we already know what five of the seats have to be and the question is asking us what the remaining four are and what the overall order is. We can begin with the first concrete information that is given, that the "first three individuals from the left are young adult, a teenager, and another young adult." Therefore, we can update the slots as follows 

_Y_ _T_ _Y_ ___ ___ ___ ___ ___ ___ 

Another key bit of information that is given is that "the first or last seat is occupied by a senior citizen, who is the only individual in that age group." Since the first three slots from the left are taken, we can conlcude that the senior citizen is sitting at the right-most seat. 

_Y_ _T_ _Y_ ___ ___ ___ ___ ___ _S

Now we are going to combine these two pieces of information to fill out more slots: "There are more middle-aged adults than individuals of any other age group." Based off of this information, and since we know there are two young adults, it must follow that there must be more than two middle-aged adults. The next piece of vital information is that "no two individuals from the same age group are sitting next to each other." Knowing this, the fact that there must be at least three middle-aged adults, and since there are are only five available slots without the possibility for two members of the same age group to sit together, there is only one possible seating arrangement for the middle aged adults.

_Y_ _T_ _Y_ _M_ ___ _M_ ___ _M_ _S_

So now we have filled up 7/9 seats with 4/5 of the age groups. Since there must be at least one member of each age group then we know that one of the seats must go to the member of the remaining age group, children, and that there will be one more seat left afterwards. We can use this bit of final information to fill out the dais. "There are fewer teenagers than children, young adults, or middle-aged adults. Up to this point, there is one teenager, two young adults, three middle-aged adults and no children. So the statement is partially true in that there are fewer teenagers than young adults and middle-aged adults. In order for there to be fewer teenagers than children, and for the entire statement to be true, there must be at least two children. With only two available spaces, these must be fillwed up with children in order to comply with the aforementioned statements. Therefore the final dais must look as follows.

_Y_ _T_ _Y_ _M_ _C_ _M_ _C_ _M_ _S_

As a result, the fifth and seventh individuals from the left must be C and C respectively. 
Bunuel
Nine individuals are sitting on the dais, from left to right, to receive an award at a local club. The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens. The first or the last seat is occupied by a senior citizen, who is the only individual in that age group. No two individuals from the same age group are sitting next to each other. For example, no young adult is sitting next to another young adult. There are more middle-aged adults than individuals of any other age group. There are fewer teenagers than children, young adults, or middle-aged adults. The first three individuals from the left are a young adult, a teenager, and another young adult.

In the table, select the age group of the Fifth individual from the left and the age group of the Seventh individual from the left. Make only two selections, one in each column.

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