Question Details

Directions: Read the following information carefully and answer the questions given below:
There are 7 persons A, B, C, D, E, F, and G. and they have to attend a meeting in a reputed hotel in Agra on Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday, Starting the week from Monday but not necessarily in the same order. (Assume that they attend the meeting in the same month of the year.)
B attends a meeting on Thursday. Only one person attends the meeting between B and G. A attends the meeting immediately after G. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. Only one person attends a meeting between C and D. F attends the meeting after D.
On which of the following days does E have to attend the meeting?

Options

A

Sunday

B

Monday

C

Friday

D

Saturday

E

Tuesday

Show Answer

Correct Answer :

Option E

Tuesday

Solution :

The correct answer is Option 5: Tuesday.


Let us arrange the days of the week starting from Monday to Sunday as given in the problem statement:

1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday
7. Sunday


Now, let us step-by-step place each person according to the given clues:

Step 1: "B attends a meeting on Thursday."
Thursday: B

Step 2: "Only one person attends the meeting between B and G."
B is on Thursday (Day 4). G can attend either on Tuesday (Day 2) or Saturday (Day 6).

Step 3: "A attends the meeting immediately after G."
- If G is on Tuesday, A must be on Wednesday.
- If G is on Saturday, A must be on Sunday.

Step 4: "The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C."
- Case 1: If G is on Tuesday (Day 2), then A is on Wednesday (Day 3). There are 2 people attending before A (Monday, Tuesday). Thus, there must be 2 people attending after C, which means C attends on Friday (Day 5).
- Case 2: If G is on Saturday (Day 6), then A is on Sunday (Day 7). There are 6 people attending before A. Thus, C must attend on Monday (Day 1) so that 6 people attend after C.

Step 5: "Only one person attends a meeting between C and D."
- In Case 1: C is on Friday (Day 5). D can be on Wednesday (Day 3). But Wednesday is already occupied by A. So D must be on Sunday (Day 7).
- In Case 2: C is on Monday (Day 1). D must be on Wednesday (Day 3).

Step 6: "F attends the meeting after D."
- In Case 1: D is on Sunday (Day 7). No day is available after Sunday for F to attend the meeting. Hence, Case 1 fails.
- In Case 2: D is on Wednesday (Day 3). Since F attends after D, and the remaining available spots are Friday (Day 5) and Saturday (Day 6), F can attend on either Friday or Saturday.


Let us verify Case 2 in detail:

Monday: C
Tuesday: E (the remaining person)
Wednesday: D
Thursday: B
Friday: F / E
Saturday: G
Sunday: A


Let us re-verify all conditions for Case 2:
1. Days order: Monday to Sunday.
2. B is on Thursday.
3. One person between B and G: G is on Saturday (Thursday - Friday - Saturday).
4. A attends immediately after G: A is on Sunday.
5. People before A = 6 (Monday to Saturday). People after C = 6 (Tuesday to Sunday). So C is on Monday.
6. One person between C and D: D is on Wednesday.
7. F attends after D: F can attend on Friday.
8. The only remaining person E must attend on Tuesday.


Thus, E attends the meeting on Tuesday.

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