### Brain Teasers

# Romankachi Cars !!!

Four new models rolled out of RomanKachi Motors Ltd. this season, each of which is of a different weight and a different cost. They are the Jaguar, the Miroza, the Scotto and the Venz.

1) The heaviest car is the cheapest and the lightest car the costliest.

2) Miroza, the second heaviest, is the third costliest.

3) Scotto is heavier than Venz and costlier to Jaguar.

Can you find which model is the cheapest and which model the costliest ?

1) The heaviest car is the cheapest and the lightest car the costliest.

2) Miroza, the second heaviest, is the third costliest.

3) Scotto is heavier than Venz and costlier to Jaguar.

Can you find which model is the cheapest and which model the costliest ?

### Answer

The cheapest and the costliest models are the Jaguar and the Venz respectively.Four new models the Jaguar, the Miroza, the Scotto and the Venz are of different weight and cost.

The conditions given are

1) The heaviest car is the cheapest and the lightest car the costliest.

2) Miroza, the second heaviest, is the third costliest.

3) Scotto is heavier than Venz and costlier to Jaguar.

Let us take the car X as the heaviest and the car Y as the lightest.

Then from condition 1 above, we can write the following table :-

Weight Cost

1 X Y

2 Miroza

3 Miroza

4 Y X

since from condition 2, Miroza, the second heaviest, is the third costliest.

Also from condition 3, we have Scotto to be heavier than Venz and costlier to Jaguar. Hence Scotto can neither be the heaviest (since Jaguar must be heavier than it because Jaguar is cheaper to it) nor the costliest (since Venz must be costlier than it because Venz is lighter to it). Hence Scotto is the third in weight and second in cost.

As Scotto is heavier than Venz, the car 'Y' must be Venz and the car 'X' must be Jaguar.

Thus the final arrangement is shown below :-

Weight Cost

1 Jaguar Venz

2 Miroza Scotto

3 Scotto Miroza

4 Venz Jaguar

Hence Jaguar is the cheapest model and Venz the costliest model.

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