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555-605 (Medium)|   Non-Math Related|               
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Parthkulkarni
Hi,

How can we infer from 'someone is taking computer cannot take psychology' that if someone is taking psychology she can't take computer?

chetan2u

Bunuel
­The students in College X must take two, and no more, of these five subjects: computing, electronics, mechanics, architecture, and psychology. Students who take computing cannot take psychology. Students who take electronics cannot take architecture. Students who take mechanics cannot take electronics. Is Student G, a student at College X, taking psychology?
(1) Student G is taking architecture as one of her two subjects.
(2) Student G is taking neither electronics nor computing.
­Five subjects: computing(c), electronics(e), mechanics(m), architecture(a), and psychology(p).
c and p cannot be together. e will not go with either of a or m.
So, possible cases/combinations: (e,c); (e,p); (a,p); (a,c); (m,c); (m,p); (a,m)

(1) Student G is taking architecture as one of her two subjects.
So, possible combinations: (a,p); (a,c); (a,m)
Insufficient as p may or may not be there.

(2) Student G is taking neither electronics nor computing.
So, possible combinations: (a,p); (m,p); (a,m)
Insufficient as p may or may not be there.

combined
(a,p) and (a,m) are possible.
Insufficient as p may or may not be there.

E

The statement "students who take computing cannot take psychology" is bidirectional. It means that if someone is taking computing, they can't take psychology, and if someone is taking psychology, they can't take computing. The rule explicitly prevents students from taking both subjects together, so if one is chosen, the other is automatically excluded.
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­The students in College X must take two, and no more, of these five subjects: computing, electronics, mechanics, architecture, and psychology. Students who take computing cannot take psychology. Students who take electronics cannot take architecture. Students who take mechanics cannot take electronics. Is Student G, a student at College X, taking psychology?


(1) Student G is taking architecture as one of her two subjects.
I took Arch means i did not take Elec
so I took 2 from Arch, Psy, Comp, Mech---> either (Arch, Comp) or (Arch, Psy) or (Arch, Mech)

Insufficient

(2) Student G is taking neither electronics nor computing.­
No Elec,Comp means i could take any 2 from Psy,Arch,Mech

Insufficient

Combine
gives (Arch, Psy) or (Arch, Mech)
Insufficient

so E
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