Direction: Read the following information and answer the question given below.…

2024

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 the summer vacation with their families to different places: Shimla, Nainital, Mussorie, Kasauli, Lansdowne and Auli (not necessarily in the same order). All of them will travel during the same week, on different days, except Sunday.

Further information:

  • E is going to Shimla.

  • F is going to Kasauli but will travel one day before the friend who is going to Auli.

  • The one who is going to Lansdowne will travel on Monday.

  • A is not going to Nainital but will travel on Tuesday.

  • C will travel one day before B, but neither of them will travel on Monday or Thursday.

Question: Who among the following is going to Auli?

  1. A.

    A

  2. B.

    B

  3. C.

    C

  4. D.

    D

Attempted by 27 students.

Show answer & explanation

Correct answer: C

Concept: In an attribute-based multi-variable arrangement puzzle, each person is assigned two independent attributes (here, a destination and a day of the week). Solve it by first locking in the DIRECT clues that fix a single person's attribute outright, then apply the RELATIVE clues (day-before / day-after relationships) to the days that remain, using elimination to pin the last few slots.

Application:

  1. From clue III, the Lansdowne visitor travels on Monday.

  2. From clue IV, A travels on Tuesday and does not go to Nainital.

  3. From clue V, C travels one day before B, and neither is on Monday or Thursday. Checking every consecutive day-pair in the week (Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday, Thursday-Friday, Friday-Saturday), only Friday-Saturday avoids Monday and Thursday for both C and B (Tuesday-Wednesday is blocked because Tuesday already belongs to A). So C travels on Friday and B travels on Saturday.

  4. The three remaining days — Monday, Wednesday, Thursday — are left for D, E and F. Since E goes to Shimla (clue I) and not Lansdowne, E cannot be on Monday.

  5. From clue II, F's day is exactly one day before the Auli visitor's day. Testing F on Wednesday would force the Auli visitor onto Thursday, but Thursday can only be D or E among the remaining friends, and E is already fixed to Shimla — a contradiction. So F must travel on Thursday, which makes the Auli visitor's day Friday — i.e. C's day.

  6. With F on Thursday, the remaining two days (Monday, Wednesday) go to D and E; since E cannot take Monday, D travels on Monday (and therefore goes to Lansdowne, by clue III) and E travels on Wednesday.

  7. The only destinations left for A and B are Mussorie and Nainital; since clue IV excludes Nainital for A, A goes to Mussorie and B goes to Nainital.

Final arrangement:

Friend

Destination

Day

A

Mussorie

Tuesday

B

Nainital

Saturday

C

Auli

Friday

D

Lansdowne

Monday

E

Shimla

Wednesday

F

Kasauli

Thursday

Cross-check: Every clue holds against this final arrangement — E is at Shimla (I); F (Kasauli, Thursday) travels exactly one day before the Auli visitor, C, on Friday (II); the Lansdowne visitor, D, is on Monday (III); A is on Tuesday and not at Nainital (IV); and C (Friday) travels one day before B (Saturday), with neither on Monday or Thursday (V).

So C is going to Auli.

Explore the full course: Tcs Live Preparation

Loading lesson…