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Alok and Bhanu play the following min-max game. Given the expression
N = 12+X*(Y-Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
2
-69
93
30
Read Solution (Total 11)
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- Standard logic:
If x+(y-z)=11
x-y-z=2
x*(y-z)=18
Therefore N=12+18=30 - 14 years agoHelpfull: Yes(16) No(17)
- 12+18=30
- 14 years agoHelpfull: Yes(5) No(4)
- i didn't get this thumb rule..can anybody explain it..
- 13 years agoHelpfull: Yes(4) No(1)
- thumb rule X*Y-Z=18,
N=12+X*Y-Z
N=12+18
N=30 - 13 years agoHelpfull: Yes(2) No(3)
- thumb rule X*Y-Z=18,
N=12+X*Y-Z
N=12+18
N=30 - 13 years agoHelpfull: Yes(2) No(2)
- for this kind of solutions af blind formula is x*(y-z)=18,x+y+z=9,x-y+z=4
here the answer is 30 - 13 years agoHelpfull: Yes(2) No(2)
- 30 is ans
12+9*(8-5) - 12 years agoHelpfull: Yes(2) No(2)
- N=12+X*(Y-Z)
alok select values: y=9 & Z=0
But bhanu put these values as Y=0 and Z=9 so..
N=12+X*(-9)
then he finaly select x=9..
so
N=12-81 = -69 - 13 years agoHelpfull: Yes(1) No(4)
- Answer is 30.
by hit and trial we get 18 for x*(y-z) with the optimal strategies of alok and bhanu
n=12+18=30 - 12 years agoHelpfull: Yes(1) No(1)
- thumb rule x*(y-z)=18,so ans is 12+18=30
- 12 years agoHelpfull: Yes(1) No(1)
- N=12+X*(Y-Z)
=12+18 [X*(Y-Z)=18]
=30 - 10 years agoHelpfull: Yes(0) No(1)
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