Alpha and Beta, two friends were both planning to buy a car. They listed down 20 features which they were looking for. They both evaluated all the prospective cars with the listed features using their individual scoring schemes.

Alpha gave a zero score to each feature missing in the car, score of 2 for each feature available and an additional score of 3 if he was happy with the feature.

Similarly, Beta gave a score of -3 to each feature missing in the car, score of 1 for each feature available and an additional score of 6 if he was happy with the feature.

They added the scores of features to arrive at the final score for each car.

Q. If Beta gave a final score of 100 to a car, what could be the maximum number of features that are missing?
a) 6                       b)5                           c)4                           d)3

Q. If both friends gave the same score to a car, what could be the minimum number of features that were available?
a) 8                       b)0                        c)4                          d) 5

Q. Which of the following could not be the total score of a car in Beta’s evaluation?
a)35                       b)42                     c)78                    d)84

Q. Which of the following could not be the total score of a car in Alpha’s evaluation?
I. 6              II.99                III 98               IV 97
a) Only I and II b) Only II and IV c) I , II and IV d) All of these