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19 Jun 2025, 23:00
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Read the data given below carefully and answer the questions that follow. Seven boys – Rajan, Shyam, Vardhan, Mithra, Vimal, Raj and Kishan – are sitting in a row. Shyam sits to the immediate left of Vardhan and third to the right of Rajan, whereas Mithra, who sits at the left extreme, is next to Kishan.
1. Who is sitting to the immediate right of Shyam?
(A) Mithra
(B) Kishan
(C) Vimal
(D) Vardhan
2. If Vardhan and Kishan exchange places with each other without changing the rest of the arrangement that is already done, who will be sitting to the immediate left of Rajan?
(A) Kishan
(B) Raj
(C) Vimal
(D) Vardhan
(A) Kishan
(B) Raj
(C) Vimal
(D) Vardhan
3. If only Shyam sits between Raj and Vardhan, who is exactly in the middle of the row?
(A) Raj
(B) Vardhan
(C) Vimal
(D) Rajan
(A) Raj
(B) Vardhan
(C) Vimal
(D) Rajan
4. Which of the following cannot confirm the seating arrangement of all the boys?
(A) Raj is to the immediate right of Rajan, whereas Vimal is to the left of Shyam.
(B) Mithra and Raj have two persons between them.
(C) Raj and Kishan have two persons between them.
(D) Rajan and Shyam have two persons in between them.
(A) Raj is to the immediate right of Rajan, whereas Vimal is to the left of Shyam.
(B) Mithra and Raj have two persons between them.
(C) Raj and Kishan have two persons between them.
(D) Rajan and Shyam have two persons in between them.
5. After arranging all the boys as per the conditions given in the data, if Rajan now exchanges his place with Mithra, and Vardhan exchanges his place with Vimal, then how many persons will be there between Vimal and Rajan?
(A) three
(B) two
(C) five
(D) four
(A) three
(B) two
(C) five
(D) four
23 Jun 2025, 03:45
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Official Answer:
Let us denote Left and Right as shown below: ◄ L ► R
Now, let us represent the data given in pictorial form (We use R for Raj and Rn for Rajan; Va for Vardhan; Vi for Vimal; S for Shyam; M for Mithra and K for Kishan). Mithra sits at the left extreme – next to Kishan
--> M K ― ― ― ― ―.
Shyam sits to the immediate left of Vardhan and third to the right of Rajan Rn ― ― S Va. Putting both the above together, Va can go only to extreme right position. Thus, we have the arrangement as M K Rn ― ― S Va.
Raj and Vimal occupy the two vacant seats between Rajan and Shyam.
1. From the seating arrangement figure above, Vardhan is to the immediate right of Shyam.
Choice (D)
2. If Kishan and Vardhan exchange places, as can be seen from the arrangement, the person to the immediate left of Rajan will be Vardhan.
Choice (D)
3. If Shyam sits between Raj and Vardhan, then the seating arrangement is as follows: Mithra, Kishan, Rajan, Vimal, Raj, Shyam, Vardhan. Then, Vimal will be exactly in the middle of the row.
Choice (C)
4. Statement (A) makes the arrangement as: Mithra, Kishan, Rajan, Raj, Vimal, Shyam, Vardhan.
Statement (B) gives the seating arrangement as: Mithra, Kishan, Rajan, Raj, Vimal, Shyam, Vardhan.
Statement (C) makes the seating arrangement as: Mithra, Kishan, Rajan, Vimal, Raj, Shyam, Vardhan.
So, only statement (D) cannot make the seating arrangement unique while others can.
Choice (D)
Important point to note is that on the basis of the given data, we know that the places of only Raj and Vimal have not been fixed. Hence, if there is an additional statement that we are considering to determine the arrangement uniquely, it SHOULD have at least one of the two people Raj and Vimal. In this case, choice (D) does not have either one of the two names and hence, this statement cannot help us determine the arrangement uniquely. So, this becomes the answer choice.
Choice (D)
5. The arrangement is M K Rn R/Vi Vi/R S Va Rajan exchanges his place with Mithra, and Vimal with Vardhan, then we have the following arrangement: Rn K M R/Va Va/R S Vi. While we still do not know the exact position of Vardhan (or which place Vimal sits), we can see that there are five persons between Rajan and Vimal.
Choice (C)
Let us denote Left and Right as shown below: ◄ L ► R
Now, let us represent the data given in pictorial form (We use R for Raj and Rn for Rajan; Va for Vardhan; Vi for Vimal; S for Shyam; M for Mithra and K for Kishan). Mithra sits at the left extreme – next to Kishan
--> M K ― ― ― ― ―.
Shyam sits to the immediate left of Vardhan and third to the right of Rajan Rn ― ― S Va. Putting both the above together, Va can go only to extreme right position. Thus, we have the arrangement as M K Rn ― ― S Va.
Raj and Vimal occupy the two vacant seats between Rajan and Shyam.
1. From the seating arrangement figure above, Vardhan is to the immediate right of Shyam.
Choice (D)
2. If Kishan and Vardhan exchange places, as can be seen from the arrangement, the person to the immediate left of Rajan will be Vardhan.
Choice (D)
3. If Shyam sits between Raj and Vardhan, then the seating arrangement is as follows: Mithra, Kishan, Rajan, Vimal, Raj, Shyam, Vardhan. Then, Vimal will be exactly in the middle of the row.
Choice (C)
4. Statement (A) makes the arrangement as: Mithra, Kishan, Rajan, Raj, Vimal, Shyam, Vardhan.
Statement (B) gives the seating arrangement as: Mithra, Kishan, Rajan, Raj, Vimal, Shyam, Vardhan.
Statement (C) makes the seating arrangement as: Mithra, Kishan, Rajan, Vimal, Raj, Shyam, Vardhan.
So, only statement (D) cannot make the seating arrangement unique while others can.
Choice (D)
Important point to note is that on the basis of the given data, we know that the places of only Raj and Vimal have not been fixed. Hence, if there is an additional statement that we are considering to determine the arrangement uniquely, it SHOULD have at least one of the two people Raj and Vimal. In this case, choice (D) does not have either one of the two names and hence, this statement cannot help us determine the arrangement uniquely. So, this becomes the answer choice.
Choice (D)
5. The arrangement is M K Rn R/Vi Vi/R S Va Rajan exchanges his place with Mithra, and Vimal with Vardhan, then we have the following arrangement: Rn K M R/Va Va/R S Vi. While we still do not know the exact position of Vardhan (or which place Vimal sits), we can see that there are five persons between Rajan and Vimal.
Choice (C)
Moderator:
