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# If A, then B. If B, then C. If C, then D. If all of the

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Manager
Joined: 05 Jun 2009
Posts: 100
If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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26 Sep 2009, 02:13
2
3
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Difficulty:

(N/A)

Question Stats:

58% (00:55) correct 43% (00:33) wrong based on 149 sessions

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If A, then B.
If B, then C.
If C, then D.
If all of the statements above are true, which of the following must also be true?
(A) If D, then A.
(B) If not B, then not C.
(C) If not D, then not A.
(D) If D, then E.
(E) If not A, then not D.

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Manager
Joined: 01 Jul 2009
Posts: 202

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27 Sep 2009, 10:50
sacmanitin wrote:
If A, then B.
If B, then C.
If C, then D.
If all of the statements above are true, which of the following must also be true?
(A) If D, then A.
(B) If not B, then not C.
(C) If not D, then not A.
(D) If D, then E.
(E) If not A, then not D.

B.

We dont have a statement like D->A, so option A is out. option D is out as well, since there's no "E". Option E is not true, since it may be C then D. D is flawed as well, since it can be not D, but can be A. But if not B, then no C, since B-> C.

So option B is correct. Hope this helps.
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27 Sep 2009, 11:05
2
hi sacmanitin... ans is C..
first u have to understand what 'if A, then B.' means...
anything which is A has to be B i.e. A is subset of B.... possible choices are..
i) 'if not A, then not B... need not be true as it could be something not part of both..
ii)'if B, then A.....need not be true as it could be something in B-A...
various other choices ..only true choice is if not B, then not A...
if it is not a part of B , itcannot be in A... putting this rule in ans only C remains...
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Manager
Joined: 14 Dec 2008
Posts: 129

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27 Sep 2009, 11:14
my ans = c

if a then b => if not b, then not a, just by sam elogic reverse from last statement u will reach ans =c
Manager
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27 Sep 2009, 13:18
2
thanks chetan ,
i now able to attack such problems ,from your reasoning ,i drew a diagram
all the conditions can be represent like [d [c [b [a] ] ] ]

now from question stem

(A) If D, then A. ( it can be anything from d ,c ,b and a so eliminate)
(B) If not B, then not C. (if not be then it can be c or not c ,eliminate)
(C) If not D, then not A. (if not d then it is outside the biggest box so surely out of smallest
box i e a ,correct)
(D) If D, then E. (no information ,eliminate)
(E) If not A, then not D. (it not in the smallest box ie not a ,it can be anything from b,c,d or
not d ,so eliminate this choice as well)

thanks for that approach ...
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Joined: 21 Dec 2008
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28 Oct 2009, 08:51
Great Q&A
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18 Mar 2011, 00:00
premise: A=>B=>C=>D

if D do not happen than C was not influenced by B, which in turn was not influenced by A. thus if not D then not A.

asw is C.
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14 Aug 2011, 22:04
+1 C
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05 Nov 2011, 01:14
(D) is totally wrong
(A) is wrong because of reverse
(B) is wrong. The premise did not mention If not B, then not C. Very clearly
(E) is wrong, not A but appearance of C will make D true

POE, I got (C)

My another explanation: Imagine that A belong to B, B belong to C, and C belongs to D. You draw the circle around it like (D(C(B(A)))), you will eliminate all except for answer choice (C)
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Manager
Joined: 08 Jul 2008
Posts: 77
Re: If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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08 Nov 2011, 14:35
easy one. Correct answer is C
Manager
Joined: 27 Dec 2016
Posts: 192
Re: If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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10 Jul 2017, 12:10
Can anyone please explain to me why E is incorrect? I was stuck between C and E and choose E instead
Manager
Joined: 30 Apr 2017
Posts: 72
If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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11 Sep 2017, 15:43
Hello

would you explain more?

I thought in this way:

a: staying hungry
b: getting sick
c: leaving work
d: no money!

then if A doesn't happen, D will not happen
but D can happen independently
am I wrong??
Manager
Joined: 22 May 2015
Posts: 106
Re: If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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11 Sep 2017, 23:15
soodia wrote:
Hello

would you explain more?

I thought in this way:

a: staying hungry
b: getting sick
c: leaving work
d: no money!

then if A doesn't happen, D will not happen
but D can happen independently
am I wrong??

Quote:
then if A doesn't happen, D will not happen

This is not True, if A doesn't happen , D Can happen or D cannot Happen. But the reverse of this is true it D doesn't happen then A Cannot happen. Which is nothing but Option C.

A better way to solve this using Venn Diagram All A = B , All B = C , All C = D => All A = D too. but the reverse All D = A is False.
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Re: If A, then B. If B, then C. If C, then D. If all of the  [#permalink]

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23 Sep 2017, 01:42
Hello Moderators,

Do you think we should add the OA to this question?

If the OA is available, we wont have to go through the thread just to ascertain the answer. Also, it will help us in case we wish to attempt this with timer.

Thanks

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Re: If A, then B. If B, then C. If C, then D. If all of the &nbs [#permalink] 23 Sep 2017, 01:42
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