Question

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

A, B, C, D, E, F, G and H are eight friends travelling in three different cars, viz. X, Y and Z, with at least two in one car to three different places, viz. Delhi, Chandigarh and Agra. There is at least one female member in each car. D is travelling with G to Delhi but not in car Y. A is travelling with only H in car Z but not to Chandigarh. C is not travelling with either D or E. F and D are studying in the same only girls' college. H, B and G are studying in the same only boy's college.

Which of the following cars is carrying people to Chandigarh?

• A. Y
• B. X
• C. Either X or Y
• D. Data inadequate
• E. None of these

Answer 1

The correct option is A Y

Eight persons A, B, C, D, E, F, G and H are travelling in three different cars X, Y and Z to three different places Delhi, Chandigarh and Agra.
Conditions:-
(i) Atleast two persons are in one car.
(ii) Atleast one female member in each car.
According to the given information:-
D is travelling with G to Delhi but not in car Y. So, they are travelling in car X.
A is travelling with only H in car Z but not to Chandigarh. It means they are going to Agra.
Girls F and D Boys - H, B and G
The above information can be shown as,
$A,H\to$ Car $Z\to$ Agra
$D,G\to$ Car $X\to$ Delhi
_____$\to$ Car $Y\to$ Chandigarh
C is not travelling with either D or E.
Car Z has only two person. H is male, so A is female. So, C travels in car Y and E travels in car X.
Now, we are left with F and B.
So, they travel in car Y.
Now, the information can be shown in tabular form as
$\begin{array}{ccc}Friends& Car& Destination\\ A,H& Z& Agra\\ E,D,G& X& Delhi\\ C,F,B& Y& Chandigrah\end{array}$

Car Y is carrying people to Chandigarh.