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.
Math
Understanding the Teacher Schedule Puzzle
This question is a classic logic puzzle where we need to determine the teaching schedule for six teachers (J, K, L, M, N, O), their respective subjects (Hindi, English, Math, Science, Social Science, Arts), and the day they teach (Monday to Saturday). We are given several clues that link teachers, subjects, and days. Our goal is to build a complete schedule and then identify the subject taught on Friday, which is the day between Thursday and Saturday.
Step-by-Step Deduction Process
Let's break down the clues and fill in the schedule systematically.
| Day | Teacher | Subject |
|---|---|---|
| Monday | ||
| Tuesday | ||
| Wednesday | ||
| Thursday | ||
| Friday | ||
| Saturday |
Clue 1: J teaches Science on Wednesday.
We can immediately add this to our table.
| Day | Teacher | Subject |
|---|---|---|
| Monday | ||
| Tuesday | ||
| Wednesday | J | Science |
| Thursday | ||
| Friday | ||
| Saturday |
Clue 2: O teaches Math second day after J.
J teaches on Wednesday. The day after Wednesday is Thursday, and the second day after Wednesday is Friday. So, O teaches Math on Friday.
| Day | Teacher | Subject |
|---|---|---|
| Monday | ||
| Tuesday | ||
| Wednesday | J | Science |
| Thursday | ||
| Friday | O | Math |
| Saturday |
Clue 3: K teaches on the first day of the week, but teaches neither Hindi nor English.
The first day of the week is Monday. K teaches on Monday. K does not teach Hindi or English. The subjects already assigned are Science (J) and Math (O). So K can teach Social Science or Arts.
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science or Arts |
| Tuesday | ||
| Wednesday | J | Science |
| Thursday | ||
| Friday | O | Math |
| Saturday |
Clue 4: L teaches Arts before J.
J teaches on Wednesday. L teaches Arts on a day before Wednesday. The days before Wednesday are Monday and Tuesday. K is already assigned to Monday. So L must teach on Tuesday, and the subject is Arts.
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science or Arts |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | ||
| Friday | O | Math |
| Saturday |
Now we can refine Clue 3. K teaches on Monday and does not teach Hindi or English. We now know L teaches Arts. So K cannot teach Arts. Therefore, K must teach Social Science.
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | ||
| Friday | O | Math |
| Saturday |
Clue 5: M teaches English before N.
The remaining teachers are M and N. The remaining days are Thursday and Saturday. The remaining subjects are Hindi and English. M teaches English before N, meaning M teaches on an earlier day than N. Thursday is before Saturday. So M teaches on Thursday and N teaches on Saturday. M teaches English, which means N teaches Hindi.
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | M | English |
| Friday | O | Math |
| Saturday | N | Hindi |
Identifying the Subject Between Thursday and Saturday
The question asks for the subject taught between Thursday and Saturday. The day between Thursday and Saturday is Friday.
Looking at our completed schedule:
- On Thursday, English is taught.
- On Friday, Math is taught.
- On Saturday, Hindi is taught.
The subject taught on Friday, which is between Thursday and Saturday, is Math.
Conclusion
By carefully analyzing each clue and building the schedule step-by-step, we determined that Math is taught on Friday, the day between Thursday and Saturday.
The final arrangement is:
- Monday: K teaches Social Science
- Tuesday: L teaches Arts
- Wednesday: J teaches Science
- Thursday: M teaches English
- Friday: O teaches Math
- Saturday: N teaches Hindi
The subject taught between Thursday and Saturday (i.e., on Friday) is Math.
Revision Table: Teacher Schedule Summary
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | M | English |
| Friday | O | Math |
| Saturday | N | Hindi |
Additional Information: Types of Logic Puzzles
This type of problem is a classic example of a deductive logic puzzle, often found in reasoning sections of competitive exams. These puzzles require you to use given statements or clues to infer information and build a complete picture or arrangement.
- Grid Puzzles: Like the one solved, where you match items from different categories (teachers, days, subjects).
- Ordering Puzzles: Where you arrange items in a specific sequence based on clues (like the "before N" clue).
- Truth-Teller/Liar Puzzles: Where you deduce who is telling the truth based on their statements.
Solving these puzzles involves careful reading, organizing information (often in tables), and using elimination to deduce unknown facts.
Important Questions from Scheduling
A, B, C, D and E are five rivers. A is shorter than B but longer than E. C is the longest and D is a little shorter than B and a little longer than A. Which is the shortest river?
A team of six members is to be selected from ten members M1, M2, M3, M4, M5, M6, M7, M8, M9 and M10. M5 cannot be selected with M10. M6 cannot be selected with M1. M3 to be selected with M9. M4 to be selected with M7. M8 cannot be selected with M5.
Which of the following members can be selected in a team?
Seven games G1, G2, G3, G4, G5, G6 and G7 were played on seven different days of the same week from Monday to Sunday (not necessarily in the same order). Three games were played between G2 and G5. Two games were played between G6 and G4. G3 was played on Tuesday. G2 was played after G4. G7 was played on Friday. G6 was played after G2.
Which of the following statement is correct?
I. No game was played between G2 and G6.
II. G1 was played immediately before G5.
6 teachers P, Q, R, S, T, and U are to deliver the lecture. Each teacher will deliver lectures on one of the days from Monday to Saturday. Each teacher will deliver lectures on different days. There are 3 male and 3 female teachers. Each man is married to a woman. More than two persons deliver between T and U. R delivers on Friday but his wife does not deliver on Monday. P delivered on the next day of S. 2 people present between P and U. P's wife presents P's next day. T and U have the same gender. Which of the following statement is not correct?
Anuj, Ankit, Anu and Alka are teachers who teach Biology, History and Mathematics. Biology is the only subject taught by two teachers, one of whom is male. Two of the four are married to each other and they teach History and Biology respectively. Ankit teaches Biology and is unmarried.
Anu and Alka are females.Which subject does Anuj teach?
