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Giancarlo takes four tests. If the average (arithmetic mean) score for

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manali_02
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Giancarlo takes four tests. If the average (arithmetic mean) score for [#permalink] New post   03 Jul 2023, 03:39
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Giancarlo takes four tests. If the average (arithmetic mean) score for the first three of those tests is 100 and the average for all four tests is 75, what was his score for the 4th test?

A) 0
B) 4
C) 50
D) 75
E) 100

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I m not able to understand this question and the concept part of it. could anyone explain in detail? Also, How can I approach such GMAT questions? Would really be helpful. Thanks!
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A
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Re: Giancarlo takes four tests. If the average (arithmetic mean) score for [#permalink] New post   03 Jul 2023, 07:23
manali_02 wrote:
Giancarlo takes four tests. If the average (arithmetic mean) score for the first three of those tests is 100 and the average for all four tests is 75, what was his score for the 4th test?

A) 0
B) 4
C) 50
D) 75
E) 100

Show Spoiler
I m not able to understand this question and the concept part of it. could anyone explain in detail? Also, How can I approach such GMAT questions? Would really be helpful. Thanks!


\(a + b + c = 300\) (As 300 = 100*3 ; Total Score)
\(a + b + c + d = 300\) (As 300 = 75*4 ; Total Score)

In \(a + b + c + d = 300\) replace \(a + b + c = 300\)

Hence, \(300 + d = 300\)

Thus, \(d = 0\), Answer must be (A) 0
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Re: Giancarlo takes four tests. If the average (arithmetic mean) score for [#permalink] New post   03 Jul 2023, 07:32
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Giancarlo takes four tests. If the average (arithmetic mean) score for the first three of those tests is 100 and the average for all four tests is 75, what was his score for the 4th test?

A) 0
B) 4
C) 50
D) 75
E) 100

Average of 3 test= 100
(T1+T2+T3)/3=100--- T1+T2+T3=3*100---- T1+T2+T3=300

Average of 4 test= 75
(T1+T2+T3+T4)/4=75------ T1+T2+T3+T4=4*75------- T1+T2+T3+T4=300
T1+T2+T3=300, so 300+T4=300---- T4=300-300-----T4=0
Option A
Hope it helps
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Re: Giancarlo takes four tests. If the average (arithmetic mean) score for [#permalink] New post   04 Jul 2023, 00:51
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Given: Giancarlo takes four tests.
Asked: If the average (arithmetic mean) score for the first three of those tests is 100 and the average for all four tests is 75, what was his score for the 4th test?

Total score for first 3 tests = 100*3 = 300
Total score for all four tests = 75*4 = 300
Score for the 4th test = 300 - 300 = 0

IMO A
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gmatclubot
Re: Giancarlo takes four tests. If the average (arithmetic mean) score for [#permalink]
04 Jul 2023, 00:51
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