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Directions: Study the following information carefully and answer the questions given below:
A certain number of persons are sitting in a linear row facing the north. Three persons are sitting between P and Q, who is sitting adjacent to R. P is on the left of R. Z is sitting 2nd to the right of R. Two persons are sitting between Z and Y who is sitting at one of the ends. Y is not sitting adjacent to R, who is sitting 2nd to the right of A. A is sitting exactly in the middle of the row. C is sitting 6th from the left end. P is not sitting to the right of C. Two persons are sitting between C and L. Two persons are sitting between P and M.
How many persons are sitting in the row
11
15
17
19
None of these
Alright, let’s break this down:
- Start with A sits exactly in the middle. That's your anchor.
- R is 2nd to the right of A, so there's someone between A and R.
- P is on the left of R, with three people between them. So: P – _ – _ – _ – R
- Q is adjacent to R.
- Z is 2nd to the right of R. So between R and Z is one person: R – _ – Z
- Y sits at an end, with two people between Z and Y. So, Z – _ – _ – Y (must be an end).
- Y isn't adjacent to R.
- C is 6th from the left end. Two people between C and L.
- P is not right of C.
- Two people also between P and M.
If you lay this sequence out and test all constraints with a sketch or list, you'll see that the only way all positions fit—including two possible Y ends, ensuring middle placement for A, and all the spacings—brings you to a total of 15 seats.
So:
- Option 1 (11 people): Nope, not enough spots for all those spacings.
- Option 2 (15 people): This fits everything.
- Option 3 (17) or 4 (19): Too many unnecessary seats.
- Option 5 (None): Nah, 15 is possible.
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