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Numerical Ability
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Alok and Bhanu play the following min-max game. Given the expression
N = 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
a) 4
b) 9
c) 2
d) -18
Read Solution (Total 9)
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- 2
- 14 years agoHelpfull: Yes(8) No(15)
- remember tricks:
x(y-z)=18
x-y-z=2
x+y-z=11 - 11 years agoHelpfull: Yes(6) No(2)
- why 2?why nt 9?
- 14 years agoHelpfull: Yes(5) No(4)
- By trial & error method only 2 has chance to be true
- 14 years agoHelpfull: Yes(4) No(7)
- 2
- 14 years agoHelpfull: Yes(4) No(3)
- please explain how 2?
- 14 years agoHelpfull: Yes(1) No(1)
- how dis is p[ossible 2..explin it
- 12 years agoHelpfull: Yes(1) No(0)
- it 2..... bcoz as 2 is optimal for both alok n bhanu.. all other options are quite more favourable to the other side than 2.. so choose the best option!!
- 12 years agoHelpfull: Yes(1) No(5)
- alok 1st choose 4 then give it bhanu to substitute he may put in place of y or z
then in 2nd times alok choose 3 then bhanu will put in place of left variable to get the minimum value.
in third time alok will put 9 in place of x
so N=9-3-4=2 - 11 years agoHelpfull: Yes(0) No(1)
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