Read the information carefully and answer the questions given below: Seven…
2025
Read the information carefully and answer the questions given below:
Seven persons- M, N, O, P, Q, R and S are going to Holiday trip in different months i.e. January, March, April, May, June, July and August. Each of them like different colors- Red, Green, Yellow, Blue, White, Black and Grey but not necessarily in the same order. Two persons go between N and the one who likes red. N goes in the month which has even number of days. Only one person goes between the one who likes blue and S. S likes black. The one who likes blue goes just before the one who likes green. The one who likes green goes in the month which has even number of days. P goes after N. R goes just after P. Q does not like grey. Four persons go between M and the one who likes yellow. The one who likes white goes after the one who likes yellow. N does not like white. Neither P nor O likes green and white.
If all the persons go according to alphabetical order starts from January, then the position of how many persons remains unchanged?
- A.
Two
- B.
More than four
- C.
Four
- D.
One
- E.
Three
Show answer & explanation
Correct answer: D
Concept
In a month-scheduling puzzle, fix the timeline first, then turn every clue into a position or gap rule and lock the rigid anchors before the loose ones. "Exactly k persons go between X and Y" means their month-positions differ by k+1; "just before / just after" means consecutive months. Among these seven months only April and June have 30 days, so they are the only months with an even number of days.
Building the arrangement
N is in an even-day month (April or June). "Blue is just before green" with "green in an even-day month" gives the consecutive pair May(blue) -> June(green).
"Two persons between N and the red-liker" is a gap of 3 with N in an even-day month: N -> April and the red-liker is in July.
P goes after N and R is just after P (R = P+1). With May and June already taken by blue and green, P -> May and R -> June, so P likes blue and R likes green (allowed, since the restriction is only that P does not like green or white).
"Only one person between the blue-liker (May) and S" is a gap of 2, so S -> March; S likes black.
The red-liker is in July, and "four persons between M and the yellow-liker" is a gap of 5. Placing M -> July (red) and the yellow-liker -> January gives exactly that gap of 5; the remaining open month, August, goes to the last person.
"White goes after yellow" and N (April) is not white: yellow -> January and white -> August. O cannot like green or white, so O -> January (yellow); that leaves Q -> August (white) and the only remaining colour, grey, for N (April) - consistent with Q not liking grey.
Final schedule
Month | Person | Colour |
|---|---|---|
January | O | Yellow |
March | S | Black |
April | N | Grey |
May | P | Blue |
June | R | Green |
July | M | Red |
August | Q | White |
Applying the alphabetical re-seating
Reseat alphabetically from January: M, N, O, P, Q, R, S go to January, March, April, May, June, July, August respectively. Compare each month with the original schedule and count the months whose person is identical.
Month | Original | Alphabetical | Same? |
|---|---|---|---|
January | O | M | no |
March | S | N | no |
April | N | O | no |
May | P | P | yes |
June | R | Q | no |
July | M | R | no |
August | Q | S | no |
Cross-check
Only May keeps the same person, so exactly one position is unchanged. The reason it alone coincides: that person is the 4th traveller in calendar order and is also the 4th name alphabetically, so both schedules send him to the 4th month (May).
Answer: One.