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Question

Directions: Study the following information carefully and answer the questions given below:

Seven persons A, B, C, D, E, F and G got appointment letter from IBPS in seven different days from Monday to Sunday of a week but not necessarily in the same order. G does not get appointment letter on Sunday. B got appointment letter before E. Only one person got appointment letter between A and D. F got appointment letter in one of the day after D.A got appointment letter on Wednesday. Only one person got appointment letter between A and D. C got appointment letter before D and after B. Two people got appointment between B and E.

E got appointment letter in which of the following days?

The correct answer is

Thursday

Solving the IBPS Appointment Scheduling Puzzle

The question provides information about the appointment schedule of seven persons (A, B, C, D, E, F, G) over seven days of a week, from Monday to Sunday. We need to determine the specific day each person received their appointment letter based on the given clues.

Let's list the days of the week and the people involved:

  • Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
  • Persons: A, B, C, D, E, F, G

Now let's analyze the given constraints:

  • G does not get appointment letter on Sunday.
  • B got appointment letter before E.
  • Only one person got appointment letter between A and D.
  • F got appointment letter in one of the day after D.
  • A got appointment letter on Wednesday.
  • Only one person got appointment letter between A and D. (Repeat)
  • C got appointment letter before D and after B.
  • Two people got appointment between B and E.

Let's use the fixed information to start building the schedule:

Constraint: A got appointment letter on Wednesday.

Day Person
Monday
Tuesday
Wednesday A
Thursday
Friday
Saturday
Sunday

Constraint: Only one person got appointment letter between A and D.

Since A is on Wednesday, D must be either on Monday (Tuesday is between A and D) or Friday (Thursday is between A and D).

Constraint: C got appointment letter before D and after B (B → C → D).

If D was on Monday, C would have to be before Monday, which is impossible. Therefore, D must be on Friday.

Day Person
Monday
Tuesday
Wednesday A
Thursday
Friday D
Saturday
Sunday

Now we know D is on Friday. Constraint (B → C → D) means B and C must be on days before Friday. The available days before Friday are Monday, Tuesday, and Thursday.

Constraint: Two people got appointment between B and E. Also, B got appointment letter before E.

Let's consider the possible days for B and E with two people between them, keeping in mind B is before E and both must be on available days (Mon, Tue, Thu, Sat, Sun):

  • If B is Monday, then two days later are Tuesday and Wednesday (A is on Wednesday). The third day is Thursday. So E would be on Thursday. (Mon → Tue, Wed → Thu) This fits: B (Mon), E (Thu).
  • If B is Tuesday, then two days later are Wednesday (A) and Thursday. The third day is Friday. So E would be on Friday. But D is on Friday. So this is not possible.
  • If B is Thursday, then two days later are Friday (D) and Saturday. The third day is Sunday. So E would be on Sunday. (Thu → Fri, Sat → Sun) This is a possibility: B (Thu), E (Sun).

Let's evaluate the two possibilities for B and E placements along with B → C → D:

Possibility 1: B on Monday, E on Thursday.

Day Person
Monday B
Tuesday
Wednesday A
Thursday E
Friday D
Saturday
Sunday

Remaining persons: C, F, G. Remaining days: Tuesday, Saturday, Sunday.

Constraint: C got appointment letter before D (Friday) and after B (Monday). C must be on Tuesday (the only remaining day between Monday and Friday).

Day Person
Monday B
Tuesday C
Wednesday A
Thursday E
Friday D
Saturday
Sunday

Remaining persons: F, G. Remaining days: Saturday, Sunday.

Constraint: F got appointment letter after D (Friday). F can be Saturday or Sunday.

Constraint: G does not get appointment letter on Sunday.

If F is on Saturday, G must be on Sunday. But G cannot be on Sunday. So F cannot be on Saturday.

Therefore, F must be on Sunday, and G must be on Saturday.

Let's check this full schedule:

Day Person
Monday B
Tuesday C
Wednesday A
Thursday E
Friday D
Saturday G
Sunday F

Let's verify all constraints with this schedule:

  • G does not get appointment letter on Sunday: Yes (G is on Saturday).
  • B got appointment letter before E: Yes (B is on Monday, E is on Thursday).
  • Only one person got appointment letter between A (Wednesday) and D (Friday): Yes (E is between A and D).
  • F got appointment letter after D (Friday): Yes (F is on Sunday).
  • A got appointment letter on Wednesday: Yes.
  • C got appointment letter before D (Friday) and after B (Monday): Yes (C is on Tuesday, which is after Monday and before Friday).
  • Two people got appointment between B (Monday) and E (Thursday): Yes (C and A are between B and E).

All constraints are satisfied with this schedule.

Let's quickly check the second possibility for B and E to confirm it doesn't work.

Possibility 2: B on Thursday, E on Sunday.

Day Person
Monday
Tuesday
Wednesday A
Thursday B
Friday D
Saturday
Sunday E

Remaining persons: C, F, G. Remaining days: Monday, Tuesday, Saturday.

Constraint: C got appointment letter before D (Friday) and after B (Thursday). C must be on a day between Thursday and Friday. There are no such days. This possibility is invalid.

So, the only valid schedule is the one derived in Possibility 1.

From the final schedule:

  • Monday: B
  • Tuesday: C
  • Wednesday: A
  • Thursday: E
  • Friday: D
  • Saturday: G
  • Sunday: F

The question asks for the day E got the appointment letter.

Based on the schedule, E got the appointment letter on Thursday.

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Important Questions from Scheduling

  1. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Who teaches on Tuesday?

  2. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Which subject is taught on Thursday?

  3. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science. Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday. not necessarily in the same order.

    J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Who teaches on Saturday?
  4. J, K, L, M, N and O are six teachers. Each one teaches a different subject Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second day after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J.

    Which subject is taught between Thursday and Saturday?
  5. J, K, L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Arts on Saturday. L teaches neither English nor Social Science, but he teaches on Thursday. Wednesday is reserved for Maths taught by K. O teaches Science a day before N. Social Science is taught a day before Arts. Which subject is taught on the day between Science and Math?

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