Question

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

P, Q, R, S, T, V, W and Z are eight friends studying in three different engineering colleges - A, B and C in three disciplines - Mechanical, Electrical and Electronics with not less than two and not more than three in any college.
Not more than three of them study in any of three disciplines. W studies Electrical in college B with only T who studies Mechanical.
P and Z do not study in college C and study in same discipline but not Electrical. R studies Mechanical in college C with V who studies Electrical. S studies Mechanical and does not study in the same college where R studies. Q does not study Electronics.

In which of the colleges atleast one student studies in Mechanical discipline?

• A. A only
• B. B only
• C. C only
• D. Both A and B
• E. All A, B and C

Answer 1

The correct option is E All A, B and C

Friends P, Q, R, S, T, V, W and Z study in different engineering colleges A, B and C in three disciplines - Mechanical, Electrical and Electronics.
Conditions:-
(i) Not less than two and not more than three student study in any of the three colleges.
(ii) Not more than three students study in any branch of Engineering.
W studies Electrical in college B with only T who studies Mechanical.
College B $\to$W, T
P and Z do not study in college C and study in same discipline but not Electrical.
College A$\to$P, Z
Either Mechanical or Electronics
R studies Mechanical in college C with V who studies Electrical.
$\begin{array}{ccccc}R& \to & Mechanical& \to & CollegeC\\ V& \to & Electrical& \to & CollegeC\end{array}$
S studies Mechanical but not in college C
$\begin{array}{ccccc}S& \to & Mechanical& \to & CollegeA\end{array}$
We have, total students in different discipline given as
$\begin{array}{ccc}Mechanical& \to & R,S,T\\ Electrical& \to & W,V\\ Electronics& \to & \end{array}$
P and Z may be either in Mechanical or Electronics but we have reached the maximum limit in mechanical discipline.
Therefore, P, Z $\to$ Electronics
Q does not study Electronics.
So, Q$\to$ Electrical
Now, we summarise the above information as
$\begin{array}{ccc}Mechanical& \to & R,S,T\\ Electrical& \to & W,V\\ Electronics& \to & P,Z\end{array}$
Now, according to college
$\begin{array}{ccc}CollegeA& \to & P,Z,S\\ CollegeB& \to & W,T\\ CollegeC& \to & R,V\end{array}$
So, Q comes in college C.
the above information in tabular form is shown as
$\begin{array}{ccc}Students& Colleges& Disciplines\\ P& A& Electronics\\ Q& C& Electrical\\ R& C& Mechanical\\ S& A& Mechanical\\ T& B& Mechanical\\ V& C& Electrical\\ W& B& Electrical\\ Z& A& Electrics\end{array}$
Now, we answer the following question on the basis of above table:-

All A, B and C.