Question

Directions:- Study the following information carefully to answer the question given below.

A, B, C, D, E, F and G are seven friends studying seven different branches of engineering, namely Mechanical, Chemical, Electrical, Electronics, Civil, Computers and Aeronautical Engineering, not necessarily in this order.
Each of them studies in three different colleges, X, Y and Z. Not less than two study in any college.
1) D studies Electrical Engineering in college X. The one who studies Chemical Engineering does not study in college Z. F studies Aeronautical Engineering in college Y with only B.
A does not study in college X and does not study Civil Engineering E studies Computer Engineering and does not study in college X.
2) G studies Electronics Engineering but not in college X. None in college X studies Mechanical or Civil Engineering.

Which of the following groups represents the persons studying in college Z?

• A. D and B
• B. C, E and G
• C. A and G
• D. G, E and A
• E. None of these

Answer 1

The correct option is D G, E and A

Seven friends A, B, C, D, E, F and G studies in different colleges X, Y and Z.
Condition:-
Not less than any two friends study in any college.
According to the question:-
D studies Electrical Engineering in college X.
D $\to$ Electrical Engineering $\to$ College X.
F studies Aeronautical Engineering in college Y with only B.
F $\to$ Aeronautical Engineering $\to$ college Y
B studies in college Y.
E studies Computer Engineering.
G studies Electronics Engineering.
None in college X studies Mechanical or Civil Engineering. F studies with only B, so college Y has only two friends.
$\begin{array}{ccc}Friends& Colleges& Engineergingbranches\\ A& \dots \dots & \dots \dots \\ B& Y& \dots \dots \\ C& \dots \dots & \dots \dots \\ D& X& Electrical\\ E& \dots \dots & Computer\\ F& Y& Aeronautical\\ G& \dots \dots & Electronics\end{array}$
The one who studies Chemical Engineering does not study in college Z.
A does not study in college X
E does not study in college X.
G does not study in college X.
So, only C is left and we have to arrange a minimum of two friend in same college.
C $\to$ College X $\to$ Chemical Engineering.
So, chemical is left as college X student does not study Mechanical or Civil.
A does not study Civil Engineering, so A study Mechanical Engineering.
A $\to$ Mechanical Engineering.
None in college X studies Mechanical, so A studies in college Z.
It is clear that, B studies Civil Engineering.
E and G both study in college Z.
Now, from the above information, we get.
$\begin{array}{ccc}Friends& Colleges& Engineergingbranches\\ A& Z& Mechanical\\ B& Y& Civil\\ C& X& Chemical\\ D& X& Electrical\\ E& Z& Computer\\ F& Y& Aeronautical\\ G& Z& Electronics\end{array}$

G, E and A study in college Z.