# Puzzle involving people, favourite monument and work department

We have to determine who works in which department and who likes which monument.

Seven people namely D, E, F, G, H, I and J like seven different monuments namely, Taj Mahal, Red Fort, Charminar, India Gate, Qutub Minar, Victoria Memorial and Sanchi Stupa.
Each of them work in either of the three fields viz. Economics, Management and Pharmacy with at least two of them in a field. (Note: None of the information given is necessarily in the same order.)

The one who likes Qutub Minar works in field of Management only with G.
The one who likes Charminar works with the one who likes Sanchi Stupa.
J works with the one who like India Gate.
I neither works with G nor in the field of Pharmacy.
J does not like Charminar.
D likes Red Fort.
D does not work with J.
F work with only one person.
F does not like Qutub Minar.
H works with I.
I does not like Charminar.
Neither G nor F likes Taj Mahal.

(I'm leaving the image in case it contains information other than the text in it. dcfyj)

My findings:

1) I and h work in economics department.

2)F works in Pharmacy .

3)G is in management department and works along with the one who likes Qutub Minar.

After that I can't solve the puzzle.

Source: SBI PO exam 2016

• Could you transcribe the image you posted? Would make life a lot easier for pretty much everyone. – dcfyj Jun 29 '18 at 14:33

It's not you, it's the problem (at least as written). It's not well-enough defined. Here are two possible answers, both of which satisfy all conditions.

 D    Pharmacy    Red Fort
E    Economics   Charminar
F    Pharmacy    Victoria Memorial
G    Management  India Gate
H    Economics   Sanchi Stupa
I    Economics   Taj Mahal
J    Management  Qutub Minar

OR

 D    Economics   Red Fort
E    Management  Qutab Minar
F    Pharmacy    India Gate
G    Management  Victoria Memorial
H    Economics   Charminar
I    Economics   Sanchi Stupa
J    Pharmacy    Taj Mahal

There are more possible solutions as well.

The hints do not determine everything uniquely as the other answer shows. But quite a bit is uniquely determined.

For easier reference, let me number the hints:

1. The one who likes Qutub Minar works in field of Management only with G.
2. The one who likes Charminar works with the one who likes Sanchi Stupa.
3. J works with the one who like India Gate.
4. I neither works with G nor in the field of Pharmacy.
5. J does not like Charminar.
6. D likes Red Fort.
7. D does not work with J.
8. F work with only one person.
9. F does not like Qutub Minar.
10. H works with I.
11. I does not like Charminar.
12. Neither G nor F likes Taj Mahal.

From the first hint:

The field of G is Management.

Therefore the fourth and tenth hints give:

The field of I is Economics, and so is that of H.

We can then figure out what F does:

By hint 7 and the previous observation, F can't do Economics. By the first hint only two people work in Management: G and the one who likes Gutub Minar. By hint 9 F is neither. Thus F is in Pharmacy.

We then now the distribution of work:

By hint 1 only to people work in Management, and by hint 8 (and the previous observation) only two work in Pharmacy. That leaves three people to Economics. Therefore D, E, and J are in three different fields.

We can restrict the possible monuments of G:

Charminar and Sanchi Stupa need to have the same field, but the only one that works with G is in management and likes Qutub Minar (hint 1). Thus the monument of G cannot be any of these three. Red Fort is ruled out by hint 6, Taj Mahal by hint 12. Thus the monument of G is either India Gate or Victoria Memorial.

We can further restrict the field of D:

It cannot be Management by hint 1.

And that of J:

Suppose J is in Engineering. Then D is in Pharmacy and E is in Management. Thus E is the one who likes Qutub Minar. The monument of F cannot be Charminar or Sanchi Stupa (per hint 2 and the observation that G likes India Gate or Victoria Memorial), Qutub Minar (taken), Red Fort (taken), or Taj Mahal (hint 12). Thus F and G like India Gate and Victoria Memorial in some order. But neither of them is in engineering, the field of J, which contradicts hint 3. Thus J is not in Engineering.

The solution is not unique as the other answer shows, but if it was (as it should!), it could be used:

People H and I are almost interchangeable. What we have figured out so far implies that hint 4 holds for H as well. The only asymmetry is hint 11. Therefore, if the solution is unique, one must not be able to swap I and H, and so H must like Charminar.