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Numerical Ability
Probability
1. Alok and Bhanu play the following minmax
game. Given the expression N = 19 + 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
O 100
O 019
O -62
O 37
Read Solution (Total 2)
-
- 19
The first step of the game would be like 8*79. the following step will fall as 5*46 and the 2nd last step will be like 2*13. the final value would be 0*(any value). and thus the sum would be equal to 19.
- 8 years agoHelpfull: Yes(12) No(7)
- 37.as x*(y-z)=18
- 8 years agoHelpfull: Yes(0) No(4)
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