M has an exam on Thursday. Exactly 4 people have their exams between O and A, neither of whom has an exam on Sunday. Q has an exam immediately before C. I does not have an exam on Friday. O does not have an exam after C.
How many people have exams after A?
The problem requires determining the number of people scheduled for exams after person A, given specific constraints for seven individuals (A, C, I, M, O, Q, W) across a Monday-to-Sunday week.
1. Analyzing Exam Schedule Constraints
- Week Structure: Exams are held from Monday to Sunday.
- Participants: A, C, I, M, O, Q, W.
- Constraint Summary:
- M exams on Thursday.
- Exactly 4 people between O and A.
- O and A exams not on Sunday.
- Q's exam is immediately before C's (QC).
- I's exam is not on Friday.
- O's exam is not after C's (O before C).
2. Determining O and A Placement
The constraint of exactly 4 people between O and A implies their exams must be scheduled 5 days apart. In a 7-day week (Monday to Sunday), the only pair of days 5 days apart is Monday and Saturday. This pairing respects the constraint that neither O nor A can be on Sunday.
Thus, the set of exam days for {O, A} must be {Monday, Saturday}.
3. Placing M and the QC Block
M's exam is fixed on Thursday.
The constraints 'O before C' and 'Q immediately before C' dictate that the QC block must occur sometime after O.
We examine two possible scenarios for the {O, A} placement:
Case 1: O on Monday, A on Saturday
The initial schedule framework is:
- Mon: O
- Tue: ?
- Wed: ?
- Thu: M
- Fri: ?
- Sat: A
- Sun: ?
The QC block needs to fit after O (Monday). Potential slots are (Tue, Wed), (Wed, Thu), or (Thu, Fri). Since M is scheduled on Thursday, the slots (Wed, Thu) and (Thu, Fri) are unavailable for QC.
Therefore, the QC block must occupy Tuesday and Wednesday.
The schedule progresses to: O, Q, C, M, ?, A, ?
The remaining people are I and W, and the remaining days are Friday and Sunday.
According to Constraint 5, I cannot have an exam on Friday. This forces I to be scheduled on Sunday, leaving Friday for W.
This scenario results in the following complete schedule:
| Day | Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| Person | O | Q | C | M | W | A | I |
This arrangement satisfies all the given conditions.
Case 2: A on Monday, O on Saturday
The initial schedule framework is:
- Mon: A
- Tue: ?
- Wed: ?
- Thu: M
- Fri: ?
- Sat: O
- Sun: ?
Constraint 'O before C' requires C's exam to be after O (Saturday). The only available day is Sunday.
The schedule becomes: A, ?, ?, M, ?, O, C
Constraint 'Q immediately before C' implies Q must take the slot immediately preceding Sunday, which is Saturday. However, O is already scheduled for Saturday.
This conflict means Case 2 is not possible.
4. Final Answer Derivation
The only valid exam schedule determined from the constraints is:
- Monday: O
- Tuesday: Q
- Wednesday: C
- Thursday: M
- Friday: W
- Saturday: A
- Sunday: I
A's exam is scheduled for Saturday. The question asks for the number of people with exams scheduled *after* A.
Only person I has an exam on Sunday, which occurs after Saturday.
Therefore, exactly 1 person has an exam after A.
Similar Questions
- If a rope 84 m long is divided in the ratio 7 : 5, then the length of the longer piece (in m ) is:
- Each of A, C, I, M, O, Q and W has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.
W has an exam on Friday. Exactly 3 people have exams between A and M, neither of whom has on exam on Sunday. Q has an exam immediately after I. O has an exam immediately before M. How many people have exams after Q? - Each of G, J, M, O, R, S and T has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. Only two people have exams before R. Only one person has an exam after M. Only three people have exams between R and T. Only one person has an exam between S and G. J has an exam immediately before S. Who among the following has an exam on Friday?
- Each of N, K, J, R, P, S and M has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. M has an exam on Wednesday. N has exam on the day immediately after S. Only 2 people have exams between P and R. K has exam on the day immediately before M. R's exam is neither on Sunday nor on Monday. J has exam on the day immediately before S. Who among the following has exam on Monday?
- S, T, U, V, W, X and Y live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 7. V lives on second floor. Only two persons live between V and U. X lives immediately below U. S lives immediately above T. Y does not live on the lowermost floor. On which floor number does Y live?
- Each of Abhi, Bhanu, Chetu, Devansh, Ekansh, Falak and Gyanu play a game on a different day of a week starting from Monday and ending on Sunday of the same week. Chetu plays the game on Friday. Ekansh plays immediately after Bhanu and Bhanu plays immediately after Devansh. Devansh does not play on Monday. Gyanu plays immediate before Falak. On which day does Abhi play the game?
- A, G, H, P, S and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on, till the topmost floor, which is numbered 6.
Only two people live between Y and H. Only two people live between G and S. No one lives above G. H lives below S but above P.
How many people live below A? Seven boxes, P, Q, R, S, X, Y and Z, are kept one over the other but not necessarily in the same order. Only P is kept above X. Only two boxes are kept between X and S. Only R is kept below Z. Y is not kept immediately above S. Which box is kept fourth from the top?
- Each of G, J, M, O, R, S and T has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week.
Only three people have exams between O and S. Only three people have exams between G and J. T has an exam on some day before R and on some day after M. Only J has an exam after S.
Who has an exam on Thursday? - Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. R has an exam on Friday. Only 2 people have an exam between R and Q. S has an exam immediately before U and P has an exam immediately after V. Only 2 people have an exam between T and U.
Who has an exam on Monday?
Important Questions from Puzzle
- A, B and Care three places such that there are three different roads from Ato B, four different roads from Bto Cand three different roads from Ato C. In how many different ways can one travel from Ato Cusing these roads?
What is X in the sequence 132, 129, 124, 117, 106, 93, X ?
A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00 p.m. on Wednesday, what is the correct time ?
Four persons A, B, C and D consisting of two married couples are in a group. Both the women are shorter than their respective husbands. A is the tallest among the four. C is taller than B. D is B's brother. In this context, which one of the following statements is not correct ?
How many numbers arc there between 99 and 1000 such that the digit 8 occupies the units place?
