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A standardized multiple-choice exam has 60 questions, each with five

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A standardized multiple-choice exam has 60 questions, each with five  [#permalink]

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New post 03 Apr 2017, 00:31
2
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A
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E

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  45% (medium)

Question Stats:

57% (00:35) correct 43% (00:59) wrong based on 115 sessions

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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

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A standardized multiple-choice exam has 60 questions, each with five  [#permalink]

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New post 03 Apr 2017, 02:34
1
Bunuel wrote:
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


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 8-)
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Re: A standardized multiple-choice exam has 60 questions, each with five  [#permalink]

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New post 03 Apr 2017, 09:57
1
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.
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Re: A standardized multiple-choice exam has 60 questions, each with five  [#permalink]

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New post 06 Apr 2017, 09:34
Bunuel wrote:
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


Since there are 60 questions in the exam and each question has five answer choices, the number of different possible answer keys is 5^60.

Answer: E
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Re: A standardized multiple-choice exam has 60 questions, each with five  [#permalink]

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New post 15 Jun 2018, 08:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A standardized multiple-choice exam has 60 questions, each with five &nbs [#permalink] 15 Jun 2018, 08:17
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