Directions for question:
At the OSL Prestige Motorrad – the BMW car and bike showroom at Eastern Metropolitan Bypass, Kolkata – A, B, C, D and E were the five BMW car models present while P, Q and R were the three BMW motorbike models present.
Model A had the highest top speed among the cars while model R had the lowest top speed among the motorbikes. Model C was costlier than model D and model Q, but less costly than model B. Among the cars, model A was not the costliest. Model D was less costly than model E and there was no car model whose cost lay in between the cost of those two. Model E had a top speed higher than three of the car models and all of the motorbike models. Model Q was costlier than model R but less costly than model P, which had a top speed higher than that of model Q. None of the different car models had the same cost.
Question: Which of the following statements would be true about the BMW motorbike models present at the OSL Prestige Motorrad ?
Model P was the costliest as well as the model with the highest top speed.
The model with the highest top speed was not the costliest motorbike model.
The model with the lowest top speed was the least costly motorbike model.
Both options A and C.
As per the information provided, we can conclude the following :
I) Top speed :
a) Model A had the highest top speed among cars.
b) Model E had a top speed higher than three of the car models, so Model E had the second highest top speed among cars.
c) Model E had a top speed higher than all three of the motorbike models.
d) Model R had the lowest top speed among the motorbikes.
e) Model P had a top speed higher than that of model Q.
II) Cost :
a) Model B was costlier than model C, and model C was costlier than model D among cars.
b) Model C was costlier than motorbike model Q.
c) Model A was not the costliest among cars.
d) Model E was costlier than model D and there was no car model whose cost lay in between them.
e) Model P was costlier than model Q which was costlier than model R.
Arranging the models in the descending order from left to right, under the following groups, we get :
1) Cars (Top speed) : A, E, __, __, __ (B, C and E will occupy the last three spaces in any order).
2) Motorbikes (Top speed) : P, Q, R.
3) Cars (Cost) : B, C, E, D (Since none of the different car models had the same cost, A could lie anywhere between B and C or C and E, or after D).
4) Motorbikes (Cost) : P, Q, R.
5) Also regarding cost, model C > model Q (point II b). Hence, we can also conclude that regarding cost, B > Q, B > R and C > R.
From the above we can conclude that of all the BMW motorbike models present at the OSL Prestige Motorrad, model P was the costliest as well as the model with the highest top speed, and model R with the lowest top speed was the least costly motorbike model.
Hence, both options A and C are true.