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04 Jun 2019, 19:27
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
46% (02:33) correct
54%
(02:33)
wrong
based on 307
sessions
History
Date
Time
Result
Not Attempted Yet
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
10 Jun 2019, 11:40
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We need to maximize the shaded portion area that is ab+bc+cd, hence we have to minimize the area of non-shaded part that is ad.
Area of Non-shaded part=ad
To minimize the ad, we have to assign minimum positive numbers to both a and d.
That's why he maximizes only 2 numbers (b and c).
Area of Non-shaded part=ad
To minimize the ad, we have to assign minimum positive numbers to both a and d.
That's why he maximizes only 2 numbers (b and c).
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04 Jun 2019, 19:59
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nick1816
We should get two of them the highest, so let us take other two as 1 each..
a=d=1, as a and d are used only once in the calculations.
max values of b and c will be 31 and 30 in any order.
so \(ab+bc+cd=1*31+31*30+30*1=31+930+30=991\)
D
