In this type of problems, generally the ranks of a person
both from the top and from the bottom are mentioned and the total
number of persons is asked. Now a days they are questions in the form
of a puzzles of interchanging seats by two persons. Lets have a look at
some models for a clear understanding of the topic.

- Amala is older than Mona and Rama. Anju
is older than Mona but younger than Sunny. Rama is older than Sunny.
Who among them is oldest?
- A) Sunny B) Mona C) Amala D) Anju E) None of these
- Ans: C.
**Explanation : **Amala > Mona, Raman ... (Treat this as (I)) ;
- Sunny > Mona ... (Treat this as (II));
- Rama > Sunny... (Treat this as (III));
- So, combining all, we get Amala > Rama > Sunny > Anju > Mona.

- If Anju is taller than Shilpa but
shorter than Manju and Shilpa is as tall as Sarayu but taller than
Shubhashini, then Sarayu is
- A) taller than Manju B) shorter than
Anju C) as tall as Anju D) shorter than Shubhashini
E) shorter than Shilpa
- Ans : B.
**Explanation **: Manju > Anju > Shilpa = Sarayu > Shubhashini.

- In a unit test Pavan's marks in
Mathematics is more than her marks in History but not more than
Geography. Her marks in Science is more than that in History but not as
much as in Mathematics and her marks in English is not as much as in
Geography. In which of the given subjects did she score the lowest?
- A) History B) English C) Science D) Data inadequate E) None of these
- Ans: D.
**Explanation** : Geography > Maths > History ... (i);
- Maths > Science > History ... (ii);
- Geography > English ... (iii)
- Thus the lowest score was either in History or in English

- Ten boys are standing in a row
facing the same direction. Dayaram, who is seventh from the left end of
the row, is to the immediate right of Chaitu, who is fifth from the
right end of the row. Chaitu is third to the right of Vipul. How many
children are there between Dayaram and Vipul?
- A) One B) Two C) Three D) Data inadequate E) None of these
- Ans: C.

- Fifteen children are standing in a
row facing north. Ravi is to the immediate left of Hritik and is eighth
from the left end. Arjun is second from the right end. Which of the
following statement is not true?
- A) Hritik is 7th from right end.
- B) There are four children between Hritik and Arjun.
- C) There are five children between Ravi and Arjun.
- D) Arjun is 13th from the left end.
- E) Ravi is exactly in the middle.

- P, Q, R, S, and T are sitting
around a circular table. R is to the right of P and is second to the
left of S. T is not between P and S. Who is second to the left of R?
- A) S B) T C) Q D) Data inadequate E) None of these
- Ans: C.

- In a row of boys Akash is fifth
form the left and Nikhil is eleventh from the right. If Akash is
twenty-fifth from the right then how many boys are there between Akash
and Nikhil?
- A) 14 B) 13 C) 15 D) 12 E) None of these
- Ans: B.
**Explanation** : There are (25-11-1) =13 boys between Akash and Nikhil.

- Haresh is 27th from the left end
of a row of 49 boys and Mahesh is 27th from the right end in the same
row. How many boys are between them in the row?
- A) 6 B) 3 C) 5 D) Data inadequate E) None of these
- Ans: B.
**Explanation** :
Since Harish is 27th from the left, then he is 49-27+1 from the right,
i.e. 23rd from the right. Again, since Mahesh is 27th from the right,
therefore there are three boys between them in the row.

- Arun is fifth from the left end
and Navin is twelfth from right end in a row of children. If Navin
shifts by three places towards Arun he becomes tenth from the left end.
How many children are there in the row?
- A) 21 B) 22 C) 23 D) 24 E) None of these
- Ans: D.
**Explanation** : 9 - D, Total number of children = 12+3+10-1= 24.

- If Nishanth is eleventh from the left in a row of boys, Rehman is fourteenth from the right, how many boys are there in the row?
- A) 25 B) 23 C) 36 D) Data inadequate E) None of these
- Ans: D.
**Explanation** : We do not have information regarding the number of persons between
Nishanth and Rehman.

- In a row of girls, Ravina is 15th
from the left and Mohini is 18th from the right. If they interchange
their places, Mohini becomes 15th from the left. How many girls are
there in the row?
- A) 33 B) 48 C) 47 D) Data inadequate E) None of these
- Ans: D.
**Explanation** : We still need some more information.

- In a row of boys facing north,
Sudhanshu is twelfth from the left. When shifted to his right by four
places, he becomes eighteenth from the right end of the row. How many
boys are there in the row?
- A) 32 B) 33 C) 34 D) Data inadequate E) None of these
- Ans: B.
**Explanation** : 12+3+18 = 33.

- In a queue, Amrita is 10th from
the front while Mukul is 25th from behind and Mamta is just in the
middle of the two. If there be 50 persons in the queue, what position
does Mamta occupy from the front?
- A) 20th B) 19th C) 18th D) 17th E) None of these
- Ans: C.
**Explanation** :
Number of persons between Amrita and Mukul = 50-(10+25) = 15. Since,
Mamta lies in middle of these 15 persons, so Mamta's position is 8th
from Amrita i.e., 18th from the front.

- Raman ranks sixteenth from the top and forty ninth from the bottom in a class. How many students are there in the class?
- A) 64 B) 65 C) 66 D) Cannot be determined E) None of these
- Ans: A.
**Explanation** : Clearly, number of students in the class = (15+1+48) = 64

- Sanjeev ranks seventh from the top and twenty eighth from the bottom in a class. How many students are there in the class?
- A) 37 B) 36 C) 35 D) 34 E) None of these
- Ans: D.
**Explanation** : Clearly, number of students in the class = (6+1+27) = 34.

- If Atul finds that he is twelfth
from the right in a line of boys and fourth from the left, how many boys
should be added to the line such that there are 28 boys in the line?
- A) 12 B) 13 C) 14 D) 20 E) None of these
- Ans: B.
**Explanation** : Clearly, number of students in the line = (11+1+3) = 15. Number of boys tobe added = 28 - 15 = 13.

- Manisha ranked sixteenth from the
top and twenty ninth from the bottom among those who passed an
examination. Six students did not participate in the competition and
five failed in it. How many students were there in the class?
- A) 40 B) 44 C) 50 D) 55 E) None of these
- Ans: D.
**Explanation** :

Number of boys who passed = (15+1+28) = 44.
Total number of boys in the class = 44+6+5 = 55.

- Aruna ranks twelfth in a class of forty-six. What will be her rank from the last?
- A) 33 B) 34 C) 35 D) 37 E) None of these
- Ans: C.
**Explanation** : Number of students behind Aruna in a rank = (46-12) = 34. So Aruna is 35th from the last.

- In a class of 60, where girls are
twice of boys, Kamal ranked seventeenth from the top. If there are 9
girls ahead of Kamal, how many boys are after him in rank?
- A) 3 B) 7 C) 12 D) 23 E) None of these
- Ans: C.

- In a row of ten boys, when Rohit
was shifted by two places towards the left, he became seventh from the
left end. What was his earlier position from the right end of the row?
- A) First B) Second C) Fourth D) Sixth E) None of these
- Ans: B.