Read the information carefully and answer the questions given below:
Fourteen persons are sitting in two parallel rows containing seven persons each. In row 1 - A, B, C, D, E, F and G are seated and all of them are facing north. While P, Q, R, S, T, U and V are sitting in row-2 and facing south direction but not necessarily in the same order. Persons of row 1 face the persons of row 2. Q sits two places away from the one who faces E. E is the only immediate neighbour of D. U faces the one who sits third to the right of C. The number of persons sit to the right of Q is same as the number of persons sit to the left of G. B sits second to the left of G. One person sits between R and V and both of them do not sit at the extreme ends. S sits right of T but not sit at the extreme ends. A faces the one who sits second to the right of R.
How many persons sit to the left of the one who faces S?
Correct Answer :
One
Solution :
To find the solution, we can determine the seating arrangement step-by-step using the given clues.
1. Understanding the Layout:
We have two parallel rows with 7 persons each.
Row 1 (facing North): A, B, C, D, E, F, G. (Left to Right: Positions 1 to 7)
Row 2 (facing South): P, Q, R, S, T, U, V. (Right to Left: Positions 1 to 7, where Position 1 is on the far left from a North-facing perspective, representing the right end for South-facing persons)
2. Determining Positions in Row 1:
- "E is the only immediate neighbour of D." This implies D must sit at one of the extreme ends (Position 1 or 7) and E must be adjacent to it (Position 2 or 6).
- "Q sits two places away from the one who faces E."
- "The number of persons sitting to the right of Q is the same as the number of persons sitting to the left of G." Since Row 2 faces South, the number of persons to the right of Q is equal to the number of columns to the left of Q (from Position 1). In Row 1, the number of persons to the left of G is also the columns to the left of G. Therefore, Q and G must sit in the same column.
- "B sits second to the left of G." This means G's column must be at least 3.
Let us evaluate the two cases for D and E:
- Case 1: D is at Position 1, E is at Position 2. The one who faces E is at Position 2. Q is two places away from Position 2, which puts Q at Position 4. Consequently, G is at Position 4. B sits second to the left of G, putting B at Position 2. But Position 2 is already occupied by E. Thus, Case 1 is invalid.
- Case 2: D is at Position 7, E is at Position 6. The one who faces E is at Position 6. Q sits two places away, which puts Q at Position 4. Therefore, G is at Position 4. B sits second to the left of G, placing B at Position 2. This case is valid.
Currently, Row 1 looks like this:
_ (1), B (2), _ (3), G (4), _ (5), E (6), D (7)
- "U faces the one who sits third to the right of C." Since C is in Row 1 (North-facing), third to the right of C would be C's position + 3. If C is at Position 3, the person third to the right of C is at Position 6 (E), which means U faces E (Position 6). This fits perfectly. Hence, C is at Position 3, and U is at Position 6 in Row 2.
- "A faces the one who sits second to the right of R." For South-facing Row 2, second to the right of R is R's position - 2. So, A faces R's position - 2, meaning A's position = R's position - 2. Since A can only be at Position 1 or 5, and R cannot sit at the extreme ends (meaning R cannot be at Position 7, so A cannot be at Position 5), A must be at Position 1, which puts R at Position 3. The remaining spot in Row 1 (Position 5) is occupied by F.
Row 1 arrangement:
Position 1: A
Position 2: B
Position 3: C
Position 4: G
Position 5: F
Position 6: E
Position 7: D
3. Determining Positions in Row 2:
- We already know U is at Position 6, Q is at Position 4, and R is at Position 3.
- "One person sits between R and V and both of them do not sit at the extreme ends." Since R is at Position 3, V must be at Position 5.
- "S sits right of T but not at the extreme ends." The remaining open positions are 1, 2, and 7. Since S cannot sit at the extreme ends, S must be at Position 2. S is to the right of T (towards Position 1 for South-facing), which means T is at Position 7. The remaining position 1 is occupied by P.
Row 2 arrangement:
Position 1: P
Position 2: S
Position 3: R
Position 4: Q
Position 5: V
Position 6: U
Position 7: T
4. Answering the Question:
The question asks: "How many persons sit to the left of the one who faces S?"
- S is at Position 2 in Row 2.
- The person facing S is B (at Position 2 in Row 1).
- Since B faces North, the left of B is towards Position 1. Only A (at Position 1) sits to the left of B.
- Thus, there is exactly One person sitting to the left of the one who faces S.
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