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Mr. D'souza has bought four cars - Merc, Honda, Ford, Zen -
as presents for his sons' birthdays, all of which are next
week. Given the following information, what will each son get?
Alan will not get the Honda unless Barry gets the Merc and
Denzil gets the Ford. Barry will not get the Ford unless
Carl gets the Zen and Alan gets the Merc. Denzil will not
get the Zen unless Alan gets the Honda and Barry gets the
Merc. Alan will not get the Merc unless Carl gets the Zen
and Denzil gets the Ford. Barry will not get the Merc unless
Alan gets the Zen and Denzil gets the Ford. Alan will not
get the Zen unless Barry gets the Honda and Carl gets the
Merc. Carl will not get the Zen unless Barry gets the Honda
and Alan gets the Ford. Alan will not get the Ford unless
Barry gets the Zen and Denzil gets the Honda. Carl will not
get the Merc unless Denzil gets the Honda.
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Answer / guest
Let's put given 9 information in a table. The person in Bold
Font will not get the corresponding car unless the persons
in Normal Font get the corresponding cars. Also, the person
will Italics will get the remaining car.
Merc Honda Ford Zen
1 Barry Alan Denzil Carl
2 Alan Denzil Barry Carl
3 Barry Alan Carl Denzil
4 Alan Barry Denzil Carl
5 Barry Carl Denzil Alan
6 Carl Barry Denzil Alan
7 Denzil Barry Alan Carl
8 Carl Denzil Alan Barry
9 Carl Denzil ? ?
Now, let's assume that Alan gets the Merc. Then from (4),
Barry gets the Honda, Denzil gets the Ford and Carl gets the
Zen. But from (7), Carl will not get the Zen unless Barry
gets the Honda and Alan gets the Ford. Thus, it contradicts
the original assumption. Hence, Alan will not get the Merc.
Let's assume that Alan gets the Honda. Then from (1), Barry
gets the Merc, Denzil gets the Ford and Carl gets the Zen.
But from (5) or from (7), it contradicts the original
assumption. Hence, Alan will not get the Honda.
Let's assume that Alan gets the Ford. Then from (8), Carl
gets the Merc, Denzil gets the Ford and Barry gets the Zen -
which does not contradict any of the statement.
Similaly, you can assume that Alan gets the Zen. (which is
contradictory to (9))
Hence, Alan gets the Ford, Barry gets the Zen, Carl gets the
Merc and Denzil gets the Honda.
| Is This Answer Correct ? | 2 Yes | 1 No |
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