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If no test has no easy questions, then all of the following must be

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Joined: 15 Feb 2017
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If no test has no easy questions, then all of the following must be  [#permalink]

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New post 13 Jan 2018, 07:54
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A
B
C
D
E

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Question Stats:

39% (01:12) correct 61% (01:25) wrong based on 131 sessions

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If no test has no easy questions, then all of the following must be true except:

a) Every test has some easy questions
b) Some tests have some easy questions
c) No test has all hard questions
d) Easy tests have easy questions
e) Every test has some hard questions
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V
Joined: 02 Aug 2009
Posts: 7978
Re: If no test has no easy questions, then all of the following must be  [#permalink]

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New post 13 Jan 2018, 08:59
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siva1976 wrote:
If no test has no easy questions, then all of the following must be true except
a) Every test has some easy questions
b) Some tests have some easy questions
c) No test has all hard questions
d) Easy tests have easy questions
e) Every test has some hard questions

Hi experts please chip in


no test has no easy questions MEANS every test has easy questions.

you can derive all the choices from it except E..

a) Every test has some easy questions
Ofcourse, this is exactly the sentence means.. some could be all

b) Some tests have some easy questions
EVERY test will consist 'SOME tests'

c) No test has all hard questions
if every test has some/all easy questions, ofcourse no test will contain no easy question

d) Easy tests have easy questions
EASY is part of EVERY

e) Every test has some hard questions
Nothing is said about HARD questions. It may just be possible that all tests do not have any hard question
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Re: If no test has no easy questions, then all of the following must be  [#permalink]

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New post 13 Jan 2018, 09:05
chetan2u
no test has no easy questions MEANS every test has easy questions.
How did you derive the above
Math Expert
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V
Joined: 02 Aug 2009
Posts: 7978
Re: If no test has no easy questions, then all of the following must be  [#permalink]

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New post 13 Jan 2018, 09:11
siva1976 wrote:
chetan2u
no test has no easy questions MEANS every test has easy questions.
How did you derive the above



NO test contains easy question MEANS every test contains NO easy question..
similarly NO test contains NO easy question means every test contains NO ( NO EASY) question... NO NO means YES
so every test contains NO NO easy question
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Concentration: International Business, General Management
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Re: If no test has no easy questions, then all of the following must be  [#permalink]

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New post 14 May 2019, 00:32
siva1976 wrote:
If no test has no easy questions, then all of the following must be true except:

a) Every test has some easy questions
b) Some tests have some easy questions
c) No test has all hard questions
d) Easy tests have easy questions
e) Every test has some hard questions


As per my understanding, a question of this type should be solved by negation i.e. ALWAYS NEGATE first:

"no test has no easy questions"
Negate "no test" = Every/Some
Negate "no easy" = easy

Result = "Every/Some test/tests has/have easy questions"
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Re: If no test has no easy questions, then all of the following must be   [#permalink] 14 May 2019, 00:32
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