Question Details

Study the following details carefully and answer the questions that follow:

Seven individuals, S, T, U, V, W, X, and Y, are sitting in a single linear row facing the north direction. Each of them uses a different laptop brand among HP, MSI, Dell, Apple, Lenovo, Asus, and Acer, though not necessarily in the same order.

S sits at the extreme left end of the row and uses an HP laptop. X is seated second from the right end of the row. Y sits to the immediate right of the individual who uses an Asus laptop, while the person using Acer sits at the extreme right end. There are two people sitting between U and the person who uses an Asus laptop. U is positioned somewhere to the left of V. The individual who uses a Dell laptop sits to the immediate left of V. T sits adjacent to the person using the Dell laptop. W sits adjacent to V. The person using an MSI laptop sits three places to the left of the Lenovo user.

How many individuals sit between T and X?

Options

A

None

B

Three

C

One

D

Two

E

Four

Show Answer

Correct Answer :

Option B

Three

Solution :

The correct option is Three.

Let's step through the linear arrangement of seven individuals (positions 1 to 7 from left to right), all facing North:

1. Position of S and HP: S sits at the extreme left end (Position 1) and uses an HP laptop.
Arrangement: [S (HP), _, _, _, _, _, _]

2. Position of X and Acer: X sits second from the right end (Position 6). The person using an Acer laptop sits at the extreme right end (Position 7).
Arrangement: [S (HP), _, _, _, _, X, _ (Acer)]

3. Position of Y and Asus: Y sits to the immediate right of the Asus user. Since Position 7 is Acer, Y cannot be at Position 7. Thus, the Asus user and Y cannot occupy positions 6 and 7.
Also, the problem states that there are two people sitting between U and the Asus user, and U is to the left of V.
Let's analyze the positions:
The individual using an MSI laptop sits three places to the left of the Lenovo user (meaning 2 people between MSI and Lenovo).
The person using a Dell laptop sits to the immediate left of V.
W sits adjacent to V, and T sits adjacent to the Dell user.
Let's place the laptop brands and individuals step-by-step:

- If MSI is at Position 2, Lenovo is at Position 5.
- Dell is immediately to the left of V. If V is at Position 5, Dell is at Position 4. But if V is at Position 5, W (adjacent to V) could be at Position 4 or 6. Since X is at Position 6, W would be at Position 4. But Position 4 is Dell.
Let's test V at Position 4: Dell is at Position 3.
Then T is adjacent to Dell, so T can be at Position 2 or 4. If V is at Position 4, T is at Position 2.
W is adjacent to V, so W can be at Position 5 (since Position 3 is Dell).
Now we have positions:
Position 1: S (HP)
Position 2: T (MSI)
Position 3: U (Dell)
Position 4: V (Asus)
Position 5: W (Lenovo)
Position 6: X (Y sits to immediate right of Asus -> Y is at Position 5? But W is at Position 5. Let's adjust):

Let's re-verify the relative positions:
- Asus is at Position 3, so Y (immediate right of Asus) is at Position 4.
- U is two places away from Asus. If Asus is at Position 3, U is at Position 6 (2 people between them: positions 4 and 5).
- But X is at Position 6, so U cannot be at Position 6.
- Therefore, if U is at Position 2 and Asus is at Position 5 (2 people between them: positions 3 and 4), then Y (immediate right of Asus) is at Position 6. But Position 6 is X! Thus Y must be at Position 7.
- If Y is at Position 7, the Asus user must be at Position 6 (X).
- Then two people sit between U and Asus (Position 6), so U is at Position 3.
- Lenovo is at Position 5, and MSI is 3 places to the left of Lenovo (Position 2).
- Dell is to the immediate left of V. If Dell is at Position 4, V is at Position 5 (Lenovo). Then Dell is at Position 4.
- T sits adjacent to Dell (Position 4), so T is at Position 2 (or 3, but U is at 3). Thus, T is at Position 2.
- W sits adjacent to V (Position 5), so W is at Position 4 (Dell).

Let's check the complete arrangement from Left (1) to Right (7):
1. S - HP
2. T - MSI
3. U - Apple
4. W - Dell
5. V - Lenovo
6. X - Asus
7. Y - Acer

Verification of all conditions:
- S sits at extreme left end (Position 1) with HP: Satisfied
- X sits second from right (Position 6): Satisfied
- Y sits to immediate right of Asus user (Position 6 is Asus, Position 7 is Y): Satisfied
- Acer sits at extreme right end (Position 7): Satisfied
- Two people between U (Position 3) and Asus user (Position 6): positions 4 and 5 (W and V): Satisfied
- U is to the left of V (3 < 5): Satisfied
- Dell user (W at Position 4) sits to immediate left of V (Position 5): Satisfied
- T (Position 2) sits adjacent to Dell user (Position 4? No, Position 2 is adjacent to Position 3, wait: T is at Position 2, adjacent to U, but Dell is at Position 4. Let's check: T is at Position 2, Dell is at Position 3 (U)? If U is Dell at Position 3, then T is at Position 2, adjacent to Dell):
If U is Dell (Position 3), V is Position 4. Then Asus is Position 6 (X), Y is Position 7 (Acer). Two people between U (Position 3) and Asus (Position 6): Satisfied.
- Dell is immediate left of V (Position 4), so Dell is at Position 3 (U): Satisfied.
- T (Position 2) is adjacent to Dell (Position 3): Satisfied.
- W (Position 5) is adjacent to V (Position 4): Satisfied.
- MSI (Position 2 - T) is three places to the left of Lenovo (Position 5 - W): Satisfied.

The final seated order from left to right is:
Position 1: S (HP)
Position 2: T (MSI)
Position 3: U (Dell)
Position 4: V (Apple)
Position 5: W (Lenovo)
Position 6: X (Asus)
Position 7: Y (Acer)

Question: How many individuals sit between T and X?
T is at Position 2 and X is at Position 6.
The individuals between them are U (Position 3), V (Position 4), and W (Position 5).

Thus, there are exactly 3 (Three) individuals sitting between T and X.

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