How to solve this question?

Asked by Anonymous on 2026-06-19 in CAT Prep

In an examination, the seating arrangement for the students is as per their roll numbers. (i). Arif is sitting 2 seats behind Anurag and 3 seats ahead of Amit.
(ii). Abhishek is behind Arif but ahead of Amit.
(iii). Abhilash is sitting ahead of everyone. (iv). Ashish is one of the two students sitting ahead of Anurag and his roll number is 62. (v). Ashutosh has the lowest roll number in the row.
(Assume that all the above students are in the same row)
(a) The roll number of Arif is ?
(b) In the seating arrangement, how far apart are Ashish and Amit ?
(c) If Ashutosh is to be seated five seats behind Amit, then what would be his roll number ?
(d) Assuming that the data in the above question is correct, how many seats will there be in the row ?

2 Answers

Revanth · 2026-06-19 · 3 helpful

I feel we can not complete overall seating arrangements with the given information but apparently we can answer all the questions given with the information provided. By arranging them in a order given in the question and assigning highest roll no to Abhilash (63) followed by Ashish(62),Anurag(61), Gap(person not known with roll no 60),Arif(59),Gap(person not known with roll no 58,could be Abhishek),Gap(again person not known with roll no 57,could be Abhishek),Amit(56) followed by Ashutosh(55).
a . 59
b . 6 seats apart
c . Here we send Ashutosh 5 seats backward, then his roll no becomes 50
d . In a single row - Started with 63. ended with 50, so no.of seats are 14

nav · 2026-06-19 · 3 helpful

Seating Order:

* Abhilash is ahead of everyone, meaning he occupies Seat 1.
* Anurag has exactly two students sitting ahead of him (Clue iv). Thus, Anurag occupies Seat 3.
* The two students ahead of Anurag are Abhilash (Seat 1) and Ashish, which places Ashish at Seat 2.
* Arif is sitting 2 seats behind Anurag: Seat 3 + 2 = Seat 5.
* Arif is 3 seats ahead of Amit, which means Amit is sitting 3 seats behind Arif: Seat 5 + 3 = Seat 8.
* Abhishek is between Arif (Seat 5) and Amit (Seat 8), meaning he is at Seat 6 or Seat 7.

Roll Number Pattern:

* Ashish is at Seat 2 and his roll number is 62.
* Clue (v) states that Ashutosh has the lowest roll number in the row. Since Abhilash is at the very front (Seat 1), Ashutosh must be towards the back of the row.
* This means roll numbers decrease sequentially from front to back.
* Therefore, the formula for the roll number at any given seat position is:
Roll Number = 62 - (Seat Position - 2)

* (a) The roll number of Arif is 59.
* (b) Ashish and Amit are 6 seats apart.
* (c) Ashutosh's roll number would be 51.
* (d) There will be 13 seats in the row.

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