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­Let C, T, YA, MA and SC be children, teenagers, young adults, mature adults and senior citizen respectively.


According to the passage,

YA T YA - - - - - SC

We have 1 SC and we know MA has highest number of people and T is less than C, YA and MA

Therefore, T has 1 member, 2 each in C and YA and 3 in MA (highest)

We need to fill 3 MA in the remaining blanks without them being arranged together. Therefore, they have to necessarily fill 4, 6 and 8th positions.

YA T YA MA - MA - MA SC

The remaining 5th and 7th positions will be filled by C

Therefore, fifth and seventh individual from left are both Children. 
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­YA - T-YA-MA-C-MA-C-MA-S
THEREFORE, 5TH AND 7TH POSITION WILL BE Children
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Based on given info., we can infer following,
There are fewer teenagers than children, young adults, or middle-aged adults. (least no. in total = teenagers).
The first three individuals from the left are a young adult, a teenager, and another young adult. (1st= Adult, 2nd = teen & 3rd=adult)
The first or the last seat is occupied by a senior citizen. (1st or 9th). So, 9th = sr. citizen as 1st is adult.

We don't know anything about 4th to 8th. So those need to fill by considering below conditions.
There are more middle-aged adults than individuals of any other age group. (Middle aged adults must be >2)
No two individuals from the same age group are sitting next to each other.
4th can be middle aged adult or children.
If middle aged adult is 3 and 4th middle aged adult, then 5th again child, 6th middle aged adult, 7th child & 8th middle aged adult.
By considering above arrangement, 5th and 7th both are children.­
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The order meeting all the conditions will be YTYMCMCMS

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­9 individuals. 5 categories: C(Children), T(Teenager), Y(Young), M(Middle-aged), S(Senior).

1. 1st or last seat has Senior.

     S _ _ _ _ _ _ _ S

2. No 2 individuals of the same group sit together.
3. First 3 individuals from left are Young, teenger, young

Y T Y _ _ _ _ _ S

4. Maximum individuals from middle-aged group.
5. Teenagers < Children, Young, Middle
We know from Point 3 that there are at least 2 Y.
Therefore, T=1

Maximum individuals are from M. M has to be more than 2. 
--> M=3
M cannot be 4. Because that would mean that C=1. But, T<C (Point 5)
--> C>1
--> C=2

Now, we have 3 men, who cannot sit next to each other (point 2). The only arrangement possible is:


Y T Y M _ M _ M S

Y T Y M C M C M S

5th spot=C
7th spot=C    Ans

 
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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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­
­ C + T + YA + MA+ S = 9
S sits at first or last and only 1 => C+T+MA+YA= 8
MA> C,T,YA => Assuming MA=3
T<C,YA,MA => Assuming T= 1 and C and YA = 2

As per question stem, the order from left = YA T YA _ _ _ _ _ S
Since same category people cannot be seated together

YA T YA MA C MA C MA S => 5th and 7th position are occupied by 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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­
­Acc to the info, 1st-Young adult   2nd-Teen   3-Young adult   Last- Senior (as 1st is young adult so last will be senior)
Now the interpretation-
No. of children- 2 ( should be more than teen and less than max ie. middle age so 2)
No. of teenagers-1 (it will be either 1 or least but if you count all the max teens can be only 1)
No. of young adult-2 ( should be more than teen and less than max ie. middle age so 2)
No. of middle age adult-3 (it will be max so this is the only number that satisfies the number of members)
No of senior-1 (given)

Now arrange them  YA  T  YA  MA  C  MA  C  MA  S 
No two of same group cannot be together so the above is the possible arrangement so 5th is children and 7th is children
 
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­as more middle aged are their we can fill like Y T Y M C M C M S => 1 2 3 4 5 6 7 8 9 so 5th and 7th maybe 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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­
­1 2 3 4 5 6 7 8 9
y  t y               s

y - young adult
t - teen
s -senior
c -children 
m -middle aged

m should be 3 because it is the greatest number, so it should be atleast 3 and based on the fact that two people of same group can't be together m can't be 4

so 2 c and 2 m should be filled and they can be filled only in this way

­1 2  3  4  5  6   7  8   9
y  t  y  m c  m  c  m   s
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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 the below quoted statements:

"The awardees include at least one from each of five age groups: children, teenagers, young adults, middle-aged adults, and senior citizens."
"There are fewer teenagers than children, young adults, or middle-aged adults."
"The first or the last seat is occupied by a senior citizen, who is the only individual in that age group."

It can be deduced that there are atleat 2 awardees each in children (c), young adults (y) and middle aged adults (m) groups and 1 awardee each in teenagers (t) and senior citizens (s) groups. This sums up to c-2, y-2, m-2, t-1, s-1 i.e. total 8 awardees.

From the statement, "There are more middle-aged adults than individuals of any other age group", it can be deduced that there are a total of 3 middle aged adults.

From the statements, "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" and "No two individuals from the same age group are sitting next to each other" it is clear that the only possible sitting arrangement can be -    y-t-y-m-c-m-c-m-s.

Hence, the fifth and the seventh positions are occupied by "children" awardees.

 ­
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­According to the information provided -
There are 3 middle aged, 1 seinor citizen, 2 young adult, 2 children, 1 teenager.
Hence, correct answer should AA both the 5th and 7th position is occupied by childrens
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The only possible arrangement is YTYMCMCMS
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­Key insights from the information provided in the passage:
  1. From Left to Right - 9 spaces
  2. Five age groups: children (C), teenagers (T), young adults (Y), middle-aged adults (M), and senior citizens (S)
  3. The first or the last seat is occupied by a senior citizen who is the only individual in that age group - There is only one senior citizen and s/he is sitting on the rightmost seat.
  4. No two individuals from the same age group are sitting next to each other
  5. There are more middle-aged adults than individuals of any other age group - Middle-aged adults form the majority of the group of 9 awardees
  6. There are fewer teenagers than children, young adults, or middle-aged adults - No. of teenagers are less than children, young adults, and middle-aged adults
  7. The first three individuals from the left are a young adult, a teenager, and another young adult - Seating order - Y T Y _ _ _ _ _ S, 5 spaces are yet to be filled. Also only 1 teenager is present, as per information in 6, no of teenagers is less than young adults.
Combining information in 5 and 6 - middle-aged adults must be 3, since they are more than any other group and children must be 2, as the no of children must be greater than no of teenagers

As per information in 4, the 3 middle-aged adults and 2 children must be arranged like - M C M C M

Hence, the arrangement of the awardees from left to right is as follows: Y T Y M C M C M S
Answers:
  • Fifth individual from the left: Children
  • Seventh individual from the left: Children
­
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Ans: Left option - children Right option - children
Criteria:
1) Atleast one from each group - children (c), teenager (t), young adult (y), middle aged adult (m), and senior (s)
2) s- either 1st or 9th. Only one s
3) 1st = y, 2nd =t, 3rd = y. 
 4) Same group members can't be sitting next to each other
5) # of m > # of c & # of y > # of t

Combining 2) and 3) we know that s is 9th.
Combining 5 and 1: five out of nine members have to be from different groups. # of c and y have to be two each. # of t has to be one. Since # of m is the greatest, it has to be 3.
The seating arrangement will appear as given below
y t y m c m c m s

Hence both fifth and seventh individuals are children

 
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From problem statement:
Y, T, Y, ?, ?, ?, ?, ?, S

if "There are more middle-aged adults than individuals of any other age group", and "No two individuals from the same age group are sitting next to each other"
then M should occupy 3 of the remaining 5 positions
Y, T, Y, M, ?, M, ?, M, S

if "there are fewer teenagers than children, young adults, or middle-aged adults", then T = 1
and Y= 2 because ""There are more middle-aged adults than individuals of any other age group"

so C should be in both remaining positions
Y, T, Y, M, C, M, C, M, S

Then 5th and 7th positions > Children
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lets have abreviations
Children = chl
Teenagers = Teen
Young Adults = YA
Middle aged adults = MA
Senior citizens = SC

According to the informations we have that
teen<ch, teen<YA, teen<MA and
MA>chl, teen, YA, SC
SC=1
The first three individuals from the left are a young adult, a teenager, and another young adult, then the last position is for SC

So far the dais is as follows
YA teen YA- - - - - SC, we should determine the positions in bold.

actually number of teen is 2, and MA >teen so MA should at least be 3.
looking at the diagram and taking into consideration that No two individuals from the same age group are sitting next to each other, then MA must be 3 in places number 4, 6 and 7 counting from the left
and since teen<chl and actually teen =1 then chl must be 2
and the only two positions remained are 5 and 7
so fifth position and seventh position is for children
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Answer is children for both 5th and 7th.

As we know SC is one one who will sit on last end from left to right

First three seats are occupied as under
1. Young adult
2.Teenager
3.Young adult
4.
5.
6.
7.
8.
9. Senior citizen

Now we know MAA are maximum and teenager are less than Children, Young adult and MAA
So we know teenager is 1 as it can’t be 2( young adult)

We know 5 seats to accomodate, 3 MAA and 2 children

So 4.6.8 will be occupied by MAA and 5 and 7 by children

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