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# For a set of five True or False questions , no student has marked all

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Manager
Joined: 10 Apr 2018
Posts: 180
For a set of five True or False questions , no student has marked all  [#permalink]

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21 Sep 2018, 06:15
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:26) correct 42% (01:35) wrong based on 24 sessions

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For a set of five True or False questions , no student has marked all correct answer , and no two students have given the same sequence of answer. What is the maximum number of students in class for this to be possible?

(A) 21
(B) 31
(C) 32
(D) 33
(E) 35
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2726
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: For a set of five True or False questions , no student has marked all  [#permalink]

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21 Sep 2018, 07:11
1
Probus wrote:
For a set of five True or False questions , no student has marked all correct answer , and no two students have given the same sequence of answer. What is the maximum number of students in class for this to be possible?

(A)21
(B)31
(C)32
(D)33
(E)35

Total Different answering ways = 2*2*2*2*2 = 32

But one of them will be correct key

hence total required methods to Answer questions . = 32-1 = 31

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Re: For a set of five True or False questions , no student has marked all &nbs [#permalink] 21 Sep 2018, 07:11
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