Latest TCS Aptitude Question SOLUTION: Alok and Bhanu play the following min-max game. Given the expression N = 9 +X + Y - Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximiz

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Alok and Bhanu play the following min-max game. Given the expression
N = 9 +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
option
a) 9
b) -18
c) 2
d) 20

Solution

First Read the question carefully, According to the given question all the numbers will be decided by alok and first 2 would be put by bhanu whereas alok will put the 3rd one.
So for getting maximum alok will tell 7 as the first Number
two cases arise
1) if bhanu will put this number as Z then 9, 9 will be the next 2 number. and 9+x+y-z = 20
2) if bhanu will put this number X, then alok will tell 4 or 5 as next number.
if bhanu will put 4 or 5 as Z then alok will put 9 as Y. So N will be
9+x+y-z= 9+7+9-4 = 21 OR 9+7+9-5 = 20

IF bhanu will put 4 or 5 as Y then alok will put 0 as Z
9+x+y-z = 9+7+4-0 = 20 OR 9+7+5-0 = 21

So if both are playing with there best effort then 9+x+y-z will be 20

20 is the correct answer

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Asked In TCS arun (13 years ago)

Solved Read Solution (5)

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Read Solution (5) :

viknesh sankar  (13 years ago)

for these......
k+xy-z=18
k+x+y-z=11
k+x-y-z=2.......based on this format just adding k value with after (=) operator U will get the answer

Is this solution Helpfull? Yes (8) | No (1)  

arshsarwar hashmi  (13 years ago)

ans:2

Is this solution Helpfull? Yes (2) | No (5)  

armaan  (13 years ago)

it will be 2
as for all num above 3 the max will be 1

Is this solution Helpfull? Yes | No (4)  

Bhavani  (13 years ago)

pls explain. how it is 2??
in d question d expression is x+y+z or x-y-z or x+y-z.pls clarify me...

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Raju Sharma  (10 years ago)

ans =9 bcoz alok choose the value
alok =9+9+9-0=27
bhanu=9+9+0-9=9
so ans is 9

Is this solution Helpfull? Yes | No (1)  

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