Read the following information and answer the questions given below.
(i) There are seven teachers A, B, C, D, E, F and G in college. Each one of them teaches a different subject.
(ii) There are three female and four male teachers and out of these, there are two pairs of couples.
(iii) C who teaches Social Sciences is married to the teachers who teaches Chemistry.
(iv) E and G are lady teachers who teaches Zoology and Physics respectively.
(v) A teaches Maths. and has wife does not teach Physics.
(vi) B does not teach Chemistry or Commerce.
(vii) F and D are male teachers. F is unmarried.
Solution
The information shall be represented as Name (Subject, Married/Unmarried, Gender)
From the given information, we can form the following conclusions:
1. C (Social Science, Married, _) and _(Chemistry, Married, _) are married to each other. The unknown person cannot be E or G.
2. A (Maths, Married, Male) and _(_, Married, Female) are married to each other. A cannot be the husband of C because he shall teach Maths, and not Chemistry. Also, A's wife cannot be G because his wife shall not teach Physics. Hence, G shall be unmarried.
3. E (Zoology, _, Female) and G (Physics, Unmarried, Physics) as per the given data.
Here, C's partner cannot be B either because he/she cannot teach chemistry while C's partner does. Further, F is unmarried. This leaves us with only one option for C's partner (Chemistry), which is D.
Therefore, C (Social Science, Married, Female) and D(Chemistry, Married, Male) are married to each other. The other couple has to be A (Maths, Married, Male) and E(Zoology, Married, Female) because there are only three females, E, G, and C, out of which G is unmarried and C is married to D.
As of now, we have the following data:
1. C (Social Science, Married, Female) and D(Chemistry, Married, Male) are married to each other.
2. A (Maths, Married, Male) and E(Zoology, Married, Female) are married to each other.
3. G (Physics, Unmarried, Female)
Now, F (_, Unmarried, Male) and B (_, Unmarried, Male). Now, B cannot teach Chemistry or Commerce. Hence, F shall definitely teach commerce.
Hence, the final point shall be: F (Commerce, Unmarried, Male) and B (_, Unmarried, Male). We cannot point out the subject taught by B because there is no data about it.
A's wife (E) teaches zoology.
