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If a,b,c and d are positive integers
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08 Jun 2019, 04:45
08 Jun 2019, 04:45
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Question Stats:
20% (01:07) correct
80% (01:23) wrong based on 5 sessions
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If a,b,c and d are positive integers and their sum is 63, then find the maximum value of ab+bc+cd?
A. 552
B. 652
C. 752
D. 991
E. 1041
A. 552
B. 652
C. 752
D. 991
E. 1041
Re: If a,b,c and d are positive integers
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25 Apr 2020, 04:24
25 Apr 2020, 04:24
a --> used 1 time
b --> used 2 times
c --> used 2 times
d --> used 1 time
To maximize the equation value, maximize b and c and keep a and d as minimum
a=d=1
then b+c = 61
Take b=31 and c =30
ab+bc+cd
(1X31) + (31X30) + (30X1)
31+930+30
991
Hence, D is the Answer.
b --> used 2 times
c --> used 2 times
d --> used 1 time
To maximize the equation value, maximize b and c and keep a and d as minimum
a=d=1
then b+c = 61
Take b=31 and c =30
ab+bc+cd
(1X31) + (31X30) + (30X1)
31+930+30
991
Hence, D is the Answer.
gmatclubot
Re: If a,b,c and d are positive integers [#permalink]
25 Apr 2020, 04:24
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