Solutions
The given information can be distributed as follows.
Name of the person
|
Bike
|
Colour of bike
|
A
|
|
|
B
|
x Endeavour
|
White
|
C
|
|
|
D
|
|
Orange
|
P
|
x Yamaha Rz
|
|
Q
|
x Pulsar
|
|
R
|
Yamaha Rz
|
|
S
|
|
|
From the given information, each model of bike is owned by atleast two and atmost three. The ratio of the models of bikes owned is 2 : 3 : 3.
From the information, only R and the person who has black colour bike owns Yamaha RZ, we can say that B, D, C, Q does not own Yamaha RZ. From the information Q does not own Pulsar and B does not own Endeavour we can say that B owns Pulsar and Q owns Endeavour.
∴ C and D own Pulsar (B and C own the same model of bike and D and Q own different bikes).
From the information P does not own Yamaha RZ we can say that P owns Endeavour.
∴ A and S own Yamaha RZ and Endeavour in any order and one of A and S owns the black colour bike.
From the information none of the persons who owns Endeavour owns the Red or the Silver bike. We can say that C owns the Silver bike and R owns the Red bike.
∴ A must owns Blue colour bike, as none of P or Q or S owns the Blue bike.
∴ A owns Endeavour and S owns Yamaha Rz which is of Black colour.
As Q does not own the Yellow bike, P must have the Yellow bike, then Q owns the Violet colour bike.
The final distribution is as follows.
Name of the person
|
Bike
|
Colour of bike
|
A
|
Endeavour
|
Blue
|
B
|
Pulsar
|
White
|
C
|
Pulsar
|
Silver
|
D
|
Pulsar
|
Orange
|
P
|
Endeavour
|
Yellow
|
Q
|
Endeavour
|
Violet
|
R
|
Yamaha Rz
|
Red
|
S
|
Yamaha Rz
|
Black
|
Q owns the Violet colour bike.