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

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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
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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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27 Sep 2009, 11:05
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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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27 Sep 2009, 13:18
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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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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, 11:14
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

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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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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

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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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07 Feb 2016, 11:51
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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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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

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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??

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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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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] 11 Sep 2017, 23:15
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