Direction: Read the following information and answer the question given below.…
2026
Direction: Read the following information and answer the question given below.
Six school friends — A, B, C, D, E and F are going for holidays in summer vacation with their families at different places — Shimla, Nainital, Mussoorie, Kasauli, Lansdowne and Auli (not necessarily in the same order). All of them will go in the same week but on different days except Sunday. Further information is as follows:
E is going to Shimla.
F is going to Kasauli but will go one day before the friend who is going to Auli.
The one who is going to Lansdowne will go on Monday.
A is not going to Nainital but will go on Tuesday.
C will go one day before B, but neither of them will go on Monday or Thursday.
Question: Which of the following statements is true as per the given information?
- A.
A will go immediately after D but before E.
- B.
The one who is going to Shimla, will go on Thursday.
- C.
C is going to Nainital on Saturday.
- D.
B is neither going to Nainital nor to Lansdowne.
Attempted by 7 students.
Show answer & explanation
Correct answer: A
Concept: This is a linear day-and-destination assignment puzzle — a constraint-satisfaction problem. Each clue is one of three kinds of constraint: a direct fix (person → day or place), a relative gap (“one day before/after” another person), or an exclusion (a person cannot take a given day or place). The reliable method is to lock in every directly-fixed constraint first, then use the relative constraints to eliminate day-pairs until only one full arrangement survives.
Application — working through the clues in the order that fixes the most at each step:
Clue (i) fixes E → Shimla directly.
Clue (iv) fixes A → Tuesday and rules out A → Nainital.
Clue (v) needs C exactly one day before B, with neither of them on Monday or Thursday. Checking every consecutive day-pair in the Monday–Saturday week, only the Friday–Saturday pair avoids Monday, Thursday, and Tuesday (already taken by A) on both sides. So C → Friday and B → Saturday.
Clue (iii) fixes the Lansdowne traveller’s day to Monday. E already has a fixed destination, Shimla, so E cannot be the Lansdowne traveller regardless of day; A, C and B already have their days fixed to Tuesday, Friday and Saturday, so none of them can be on Monday either. That leaves only D or F free for Monday; F cannot take it because F is fixed to Kasauli, not Lansdowne. So D → Monday, D → Lansdowne.
Clue (ii) ties F’s day to one day before whoever goes to Auli. The only two days left for F are Wednesday and Thursday. Testing F → Wednesday would force the Auli traveller onto Thursday — but the only person left for Thursday in that case is the Shimla traveller, and Shimla is already fixed to E, not Auli. That is a contradiction, so F → Wednesday is impossible. Hence F → Thursday, Kasauli, and the Auli traveller takes the day right after it, Friday — which is C’s day. So C → Auli.
Only Wednesday and the destinations Mussoorie/Nainital are left. Wednesday must go to E (matching E’s already-fixed Shimla destination), and Mussoorie/Nainital are split between A and B. Clue (iv) already excludes A from Nainital, so A → Mussoorie and B → Nainital.
This gives the complete arrangement:
Friend | Destination | Day |
|---|---|---|
A | Mussoorie | Tuesday |
B | Nainital | Saturday |
C | Auli | Friday |
D | Lansdowne | Monday |
E | Shimla | Wednesday |
F | Kasauli | Thursday |
Cross-check: E is on Shimla (clue i); F (Thursday, Kasauli) is exactly one day before the Auli traveller, C (Friday) (clue ii); the Lansdowne traveller, D, is on Monday (clue iii); A is on Tuesday and not on Nainital (clue iv); and C (Friday) is exactly one day before B (Saturday), with neither of them on Monday or Thursday (clue v). Every clue is satisfied, so the arrangement is the unique solution.
Reading the four statements against this completed arrangement: A’s day (Tuesday) sits exactly one day after D’s day (Monday) and exactly one day before E’s day (Wednesday) — so the statement linking A to D and E is the one that holds.