Car's Accessories
The cars at a
dealership come with a choice of the following options: air-conditioning, a
cassette deck, leather seats, power windows, a sunroof and tinted glass. None
of the cars has any other optional equipment. The following conditions apply:
If a car has leather seats, it also has a cassette deck. If a car has a cassette deck, it also has power windows; If a car has power windows, it also has a cassette deck.
Cars with tinted glass have a sunroof, but no air-conditioning. Cars that have air-conditioning have, at most, two other options.
If a car has leather seats, it also has a cassette deck. If a car has a cassette deck, it also has power windows; If a car has power windows, it also has a cassette deck.
Cars with tinted glass have a sunroof, but no air-conditioning. Cars that have air-conditioning have, at most, two other options.
1. If a car has both tinted glass and
leather seats, what is the greatest number of additional options that the car
could have?
(a) 1
(b) 2
(c) 3
(d) 4
(a) 1
(b) 2
(c) 3
(d) 4
2. Which one of the following could be a
complete and accurate list of options on a car?
(a) air-conditioning, cassette deck, leather seats, power windows
(b) Air-conditioning, cassette deck, leather seats, sunroof
(c) Cassette deck, leather seats, sunroof, tinted glass
(d) Cassette deck, power windows, sunroof, tinted glass
(a) air-conditioning, cassette deck, leather seats, power windows
(b) Air-conditioning, cassette deck, leather seats, sunroof
(c) Cassette deck, leather seats, sunroof, tinted glass
(d) Cassette deck, power windows, sunroof, tinted glass
3. If a car has power windows and a
sunroof, how many different sets of options, at most, can the car have?
(a) 2
(b) 3
(c) 4
(d) 5
(a) 2
(b) 3
(c) 4
(d) 5
4. If a car has exactly two options, which
one of the following could they be?
(a) Air-conditioning and cassette deck
(b) tinted glass and sunroof
(c) Cassette deck and leather seats
(d) Power windows and sunroof
5. If a car has tinted
glass, which one of the following CANNOT be true?(a) Air-conditioning and cassette deck
(b) tinted glass and sunroof
(c) Cassette deck and leather seats
(d) Power windows and sunroof
(a) The car has 3 options.
(b) The car has 4 options.
(c) The car has power windows and a sunroof.
(d) The car does not have both leather seats and a cassette deck.
For answers click here.
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