Question Details

Directions (96-100) : Study the following information carefully and answer the questions given below.


Seven persons go to Shimla on seven different days from Monday to Sunday. Two persons go between A and B who goes after Thursday. C goes just before A. The number of persons goes before C is one less than the number of persons goes after D. G goes three persons before F and goes after E. At least one person goes before E.

How many persons go after A?

Options

A

One

B

Two

C

Three

D

Four

E

More than four

Show Answer

Correct Answer :

Option E

More than four

Solution :

The correct option is More than four.


Let us step-by-step analyze the given information to determine the schedule of the seven persons from Monday to Sunday:


1. The seven days of the week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.


2. It is given that B goes after Thursday. Therefore, B can go on Friday, Saturday, or Sunday.

3. Two persons go between A and B, and C goes just before A (C is immediately before A).


Let us consider the possible cases for B:

Case 1: B goes on Friday.
If B goes on Friday, then A must go on Tuesday (since 2 persons go between A and B).
Since C goes just before A, C goes on Monday.
Now, the number of persons going before C is 0 (since C is on Monday).
The problem states: "The number of persons goes before C is one less than the number of persons goes after D."
So, 0 is 1 less than the number of persons after D, which means there must be 1 person going after D. Thus, D must go on Saturday.
Now we need to place E, G, and F:
"G goes three persons before F and goes after E. At least one person goes before E."
The available days left for E, G, F are Wednesday, Thursday, and Sunday.
"G goes three persons before F" means G is 3 days before F (i.e., G _ _ F).
If G goes on Wednesday, then F goes on Saturday, but Saturday is already occupied by D.
If G goes on Thursday, F goes on Sunday. Then E would have to go on Wednesday (since G goes after E).
Let me check this placement:

  • Monday: C
  • Tuesday: A
  • Wednesday: E
  • Thursday: G
  • Friday: B
  • Saturday: D
  • Sunday: F
Let's verify all conditions for this arrangement:
  • Two persons go between A (Tuesday) and B (Friday): Wednesday and Thursday are between them. (Satisfied)
  • C (Monday) goes just before A (Tuesday). (Satisfied)
  • Persons before C = 0. Persons after D (Saturday) = 1 (Sunday). 0 is 1 less than 1. (Satisfied)
  • G (Thursday) goes 3 persons before F (Sunday) (Thursday -> Friday [1], Saturday [2], Sunday [3]). (Satisfied)
  • G (Thursday) goes after E (Wednesday). (Satisfied)
  • At least one person goes before E (Monday and Tuesday are before Wednesday). (Satisfied)
This complete schedule is valid!


Now, let me check the question asked:
How many persons go after A?


A goes on Tuesday. The persons who go after A are those on Wednesday, Thursday, Friday, Saturday, and Sunday (E, G, B, D, F), which totals 5 persons.


Since 5 is greater than 4, the correct answer is More than four.

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