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Only if the electorate is moral and intelligent will a

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Director
Joined: 20 Apr 2005
Posts: 586
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Only if the electorate is moral and intelligent will a [#permalink]  06 Jun 2005, 11:26
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4. Only if the electorate is moral and intelligent will a democracy function well.

Which one of the following can be logically inferred from the claim above?

(A) If the electorate is moral and intelligent, then a democracy will function well.
(B) Either a democracy does not function well or else the electorate is not moral or not intelligent.
(C) If the electorate is not moral or not intelligent, then a democracy will not function well.
(D) If a democracy does not function well, then the electorate is not moral or not intelligent.
(E) It cannot, at the same time, be true that the electorate is moral and intelligent and that a democracy will not function well.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5099
Location: Singapore
Followers: 15

Kudos [?]: 120 [0], given: 0

If A then B, If not B then not A.
If moral&intellgient then function well.
If not function well, then !(moral&intelligent)

Which one of the following can be logically inferred from the claim above?

(A) If the electorate is moral and intelligent, then a democracy will function well.

(B) Either a democracy does not function well or else the electorate is not moral or not intelligent.
- out.

(C) If the electorate is not moral or not intelligent, then a democracy will not function well.
- not supported for

(D) If a democracy does not function well, then the electorate is not moral or not intelligent.
- out. If democracy does not function well, then the electorate is not moral AND not intelligent.

(E) It cannot, at the same time, be true that the electorate is moral and intelligent and that a democracy will not function well.
- not supported for

A is best.
Manager
Joined: 21 Apr 2005
Posts: 167
Location: Atlanta , GA
Followers: 2

Kudos [?]: 2 [0], given: 0

ywilfred wrote:
If A then B, If not B then not A.
If moral&intellgient then function well.
If not function well, then !(moral&intelligent)

Which one of the following can be logically inferred from the claim above?

(A) If the electorate is moral and intelligent, then a democracy will function well.

(B) Either a democracy does not function well or else the electorate is not moral or not intelligent.
- out.

(C) If the electorate is not moral or not intelligent, then a democracy will not function well.
- not supported for

(D) If a democracy does not function well, then the electorate is not moral or not intelligent.
- out. If democracy does not function well, then the electorate is not moral AND not intelligent.

(E) It cannot, at the same time, be true that the electorate is moral and intelligent and that a democracy will not function well.
- not supported for

A is best.

Only if the electorate is moral and intelligent will a democracy function well.

if democracy does not function well , then electorate is either not intelligent or is not moral or both

So "D" must be the answer
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5099
Location: Singapore
Followers: 15

Kudos [?]: 120 [0], given: 0

shalinikhatri wrote:
ywilfred wrote:
If A then B, If not B then not A.
If moral&intellgient then function well.
If not function well, then !(moral&intelligent)

Which one of the following can be logically inferred from the claim above?

(A) If the electorate is moral and intelligent, then a democracy will function well.

(B) Either a democracy does not function well or else the electorate is not moral or not intelligent.
- out.

(C) If the electorate is not moral or not intelligent, then a democracy will not function well.
- not supported for

(D) If a democracy does not function well, then the electorate is not moral or not intelligent.
- out. If democracy does not function well, then the electorate is not moral AND not intelligent.

(E) It cannot, at the same time, be true that the electorate is moral and intelligent and that a democracy will not function well.
- not supported for

A is best.

Only if the electorate is moral and intelligent will a democracy function well.

if democracy does not function well , then electorate is either not intelligent or is not moral or both

So "D" must be the answer

D states that it's either not intelligent or not moral, and not both. We need both to be not intelligent and not moral.
Director
Joined: 01 Feb 2003
Posts: 854
Followers: 1

Kudos [?]: 11 [0], given: 0

I agree with D

!(A&B) = not A or not B
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5099
Location: Singapore
Followers: 15

Kudos [?]: 120 [0], given: 0

Vithal wrote:
I agree with D

!(A&B) = not A or not B

Yes, D should be the answer. I overlooked that point. From a digital electronics point of view, the boolean algebra should work out to:

!(A x B) = !A + !B
VP
Joined: 30 Sep 2004
Posts: 1496
Location: Germany
Followers: 4

Kudos [?]: 27 [0], given: 0

C)...only if x and y then z = if not x and y then not z !

D) is out because only if x and y then z = or <> if not z then not y and x OR not a and b OR not w and c
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Senior Manager
Joined: 17 May 2005
Posts: 273
Location: Auckland, New Zealand
Followers: 1

Kudos [?]: 2 [0], given: 0

Re: CR: Democracy [#permalink]  06 Jun 2005, 23:40
WinWinMBA wrote:
4. Only if the electorate is moral and intelligent will a democracy function well.

Which one of the following can be logically inferred from the claim above?

(A) If the electorate is moral and intelligent, then a democracy will function well.
(B) Either a democracy does not function well or else the electorate is not moral or not intelligent.
(C) If the electorate is not moral or not intelligent, then a democracy will not function well.
(D) If a democracy does not function well, then the electorate is not moral or not intelligent.
(E) It cannot, at the same time, be true that the electorate is moral and intelligent and that a democracy will not function well.

I pick C
the statement says that a democracy will only function well if the electorate is moral and intelligent...thus if an electorate is not moral and intelligent, a democracy won't function well
Director
Joined: 20 Apr 2005
Posts: 586
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Kudos [?]: 20 [0], given: 0

The OA is C.
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