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?
L
Solving the Teacher, Subject, and Day Logic Puzzle
This question asks us to determine which teacher teaches on Tuesday based on a series of clues about six teachers, their subjects, and the day they teach from Monday to Saturday.
Understanding the Given Information
We have the following elements to arrange:
- Teachers: J, K, L, M, N, O
- Subjects: Hindi, English, Math, Science, Social Science, Arts
- Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday
Each teacher teaches exactly one subject on one specific day.
Analyzing the Clues to Build the Schedule
Let's break down each clue and see what we can deduce to build the teaching schedule from Monday to Saturday.
- Clue 1: J teaches Science on Wednesday.
This gives us a direct assignment:- Day: Wednesday
- Teacher: J
- Subject: Science
- Clue 3: K teaches on the first day of the week, but teaches neither Hindi nor English.
The first day of the week in this context is Monday. So, K teaches on Monday. His subject is not Hindi or English.- Day: Monday
- Teacher: K
- Subject: Not Hindi or English
- Clue 2: O teaches Math second after J.
J teaches on Wednesday.- 1st day after J (Wednesday) is Thursday.
- 2nd day after J (Wednesday) is Friday.
- Day: Friday
- Teacher: O
- Subject: Math
- Clue 5: L teaches Arts before J.
J teaches on Wednesday. Days before Wednesday are Monday and Tuesday.- We know K teaches on Monday (from Clue 3).
- Therefore, L must teach on Tuesday.
- Day: Tuesday
- Teacher: L
- Subject: Arts
Let's summarize the schedule we have built so far:
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Not Hindi/English |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | ? | ? |
| Friday | O | Math |
| Saturday | ? | ? |
Remaining Teachers: M, N
Remaining Subjects: Hindi, English, Social Science
Remaining Days: Thursday, Saturday
- Clue 4: M teaches English before N.
The remaining days are Thursday and Saturday. For M to teach before N, M must teach on Thursday and N must teach on Saturday.- Teacher M teaches English.
- Teacher M teaches on Thursday.
- Teacher N teaches on Saturday.
- Day: Thursday, Teacher: M, Subject: English
- Day: Saturday, Teacher: N, Subject: ?
Now, let's update the schedule:
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Not Hindi/English |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | M | English |
| Friday | O | Math |
| Saturday | N | ? |
Remaining Subjects for remaining slots: Hindi, Social Science.
Teacher K on Monday cannot teach Hindi or English (from Clue 3). The remaining subjects are Hindi and Social Science. Since K cannot teach Hindi, K must teach Social Science.
- Teacher K teaches Social Science on Monday.
The last remaining subject is Hindi. The last remaining teacher is N, who teaches on Saturday. So, N teaches Hindi on Saturday.
- Teacher N teaches Hindi on Saturday.
The complete schedule is:
| Day | Teacher | Subject |
|---|---|---|
| Monday | K | Social Science |
| Tuesday | L | Arts |
| Wednesday | J | Science |
| Thursday | M | English |
| Friday | O | Math |
| Saturday | N | Hindi |
Answering the Question: Who Teaches on Tuesday?
Looking at the complete schedule, the teacher assigned to Tuesday is L.
Revision Table: Key Deductions
| Clue | Deduction | Assignment |
|---|---|---|
| J teaches Science on Wednesday. | Direct assignment. | Wed: J (Science) |
| K teaches on Monday, not Hindi/English. | Monday is the first day. | Mon: K (Not Hindi/English) |
| O teaches Math second after J. | Second day after Wednesday is Friday. | Fri: O (Math) |
| L teaches Arts before J. | Before Wednesday, not Monday (K teaches Mon), must be Tuesday. | Tue: L (Arts) |
| M teaches English before N. | Remaining days are Thursday, Saturday. M on Thursday, N on Saturday. M gets English. | Thu: M (English), Sat: N (?) |
| Combine remaining subjects/teachers/days. | K on Mon (not Hindi/English) gets Social Science. N on Sat gets Hindi. | Mon: K (Social Science), Sat: N (Hindi) |
Additional Information: Logic Puzzles and Reasoning
Logic puzzles like this one test your ability to use deductive reasoning. You start with given facts (clues) and combine them logically to figure out unknown information. A systematic approach, often using tables or grids, helps track the possibilities and eliminations. Each clue provides a piece of information that restricts the options, gradually leading you to the unique solution. Paying close attention to phrases like "second after", "before", and "neither/nor" is crucial for accurate deductions.
Important Questions from Scheduling
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?
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?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?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?
There is only one runway which will be used by seven flights one by one. P and Q will use the runway neither first nor last. S will use it second after R. M will use it second before O. N will use it after O and before R. Q will use it just before S. Who will use the runway in the middle?
