Five students A, B, C, D and E attend five different schools S1, S2, S3, S4 and S5 (not necessarily in the same order). Each also likes a different subject namely D1, D2, D3, D4 and D5 (not necessarily in the same order). A goes to S5 but does not like D3. C likes D4. The one who goes to S1 likes D5. D goes to S3. E does not like D5. The one who goes to S2 likes D1. Which of the following statement is correct? I. B likes D5. II. C goes to S4.
Both I and II
Solving the Student, School, and Subject Logic Puzzle
This problem requires us to deduce the relationships between five students (A, B, C, D, E), five schools (S1, S2, S3, S4, S5), and five subjects (D1, D2, D3, D4, D5) based on the given clues. We can use a process of elimination and deduction, often aided by a table, to solve this type of logic puzzle.
Analyzing the Given Clues
Let's list out the facts provided:
- Student A goes to School S5.
- Student A does not like Subject D3.
- Student C likes Subject D4.
- The student who goes to School S1 likes Subject D5.
- Student D goes to School S3.
- Student E does not like Subject D5.
- The student who goes to School S2 likes Subject D1.
Building a Deduction Table
We can use a table to keep track of the information and deductions.
| Student | School | Subject |
|---|---|---|
| A | S5 | Not D3 |
| B | ? | ? |
| C | ? | D4 |
| D | S3 | ? |
| E | ? | Not D5 |
Step-by-Step Deduction
Let's use the clues to fill in the gaps:
- We know A goes to S5, C likes D4, and D goes to S3.
- "The one who goes to S1 likes D5." Look at the students who could go to S1 and like D5.
- A goes to S5, so A is not at S1.
- C likes D4, so C does not like D5.
- D goes to S3, so D is not at S1.
- E does not like D5.
- This leaves only B. Therefore, B goes to S1 and B likes D5.
- Now we have:
- A: S5, Not D3
- B: S1, D5
- C: ?, D4
- D: S3, ?
- E: ?, Not D5
- "The one who goes to S2 likes D1." Who could go to S2? C or E.
- If C goes to S2, C would like D1. But we know C likes D4. This is a contradiction.
- Therefore, E goes to S2 and E likes D1.
- Now we have:
- A: S5, Not D3
- B: S1, D5
- C: ?, D4
- D: S3, ?
- E: S2, D1
- Remaining students for subjects are A and D. Remaining subjects are D2 and D3.
- A is at S5 and does not like D3. The only remaining subject A can like is D2. So, A likes D2.
- This leaves D to like the remaining subject, D3. So, D likes D3.
Final Relationships
Putting it all together, we get the complete set of relationships:
| Student | School | Subject |
|---|---|---|
| A | S5 | D2 |
| B | S1 | D5 |
| C | S4 | D4 |
| D | S3 | D3 |
| E | S2 | D1 |
Evaluating the Statements
Now let's look at the given statements:
- Statement I: B likes D5.
From our deductions, we found that B likes D5. So, Statement I is correct.
- Statement II: C goes to S4.
From our deductions, we found that C goes to S4. So, Statement II is correct.
Conclusion
Both Statement I and Statement II are correct based on the given information and logical deduction.
Important Questions from Double Lineup
Radha wears five different coloured clothes, red, green, yellow, purple and brown, on five different days of a week, from Monday to Friday. She wears red clothes on
Wednesday. She does not wear green and brown clothes on Monday or Friday. She wears green clothes on the next day of wearing yellow clothes. On which day does she
wear brown clothes?Six friends, Anitha, Punitha, Chithra, Deepthi, Harini and Vani, are sitting in a field. Anitha and Punitha are from the Green house, whereas the rest belong to the Red house. Deepthi and Vani are tall. Whereas the others are short. Anitha, Chithra and Deepthi are wearing sarees. whereas the others are wearing frocks.
Who among them is tall and from the Red house but not wearing a saree?In a private school, there were five teachers. Abi and Geetha were teaching French and English. Harini and Geetha were teaching English and Science. Diva and Abi were teaching Maths and French. Hema and Geetha were teaching Social Science and French. Which subject is taught by the maximum number of teachers?
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 Social Science and Math?
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. Who teaches Social Science?
