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03 Apr 2017, 00:31
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
63% (00:47) correct
37%
(01:04)
wrong
based on 196
sessions
History
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Time
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Not Attempted Yet
A standardized multiple-choice exam has 60 questions, each with five answer choices. How many different answer keys to this test are possible?
A. 1
B. 5(60)
C. 5^30
D. 60^5
E. 5^60
A. 1
B. 5(60)
C. 5^30
D. 60^5
E. 5^60
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 192
Given Kudos: 59
Location: India
Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
03 Apr 2017, 02:34
Kudos
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Bunuel
Nice Question +1Kudos
We have to answer 60 questions.
For each question, we have 5 possible answer choices.
So,for the 1st question we have 5 options(either A or B or C or D or E) out of which 1 will be correct at a given point of time,
for the 2nd question we have 5 options(either A or B or C or D or E) out of which 1 will be correct at a given point of time
for the 3rd question we have 5 options(either A or B or C or D or E) out of which 1 will be correct at a given point of time .....and
60th question we have 5 options(either A or B or C or D or E) out of which 1 will be correct at a given point of time.
Therefore, different answer keys to this test possible are =5*5*5*5*5*....(up-to 60 times 5) =\(5^{60}\)
Hence option E is correct
Hit Kudos if you liked it
03 Apr 2017, 09:57
Kudos
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Option E
Each question can be answered in 5C1 = 5 ways
Hence, 60 questions can be answered in 5C1*5C1*5C1* . . . 60 times = 5^60 ways.
Each question can be answered in 5C1 = 5 ways
Hence, 60 questions can be answered in 5C1*5C1*5C1* . . . 60 times = 5^60 ways.
