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 maximi

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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 substitutes 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) 0 b) 27 c) 18 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 Mahesh (14 years ago)

Solved Read Solution (12)

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Read Solution (12) :

Sambit Dutta  (14 years ago)

20

Is this solution Helpfull? Yes (6) | No (1)  

Krishna KAnt Tiwari  (14 years ago)

the equation is N=9+X+Y-Z
initially Alok put z=0 to maximize N;
then Bhanu will put 0 on the place of x or Y then equation will turn in to
N=9+x or 9+y
then Alok will put 9 on the place of x or y
then N will be (9+9)=18
Ans will be 18.

Is this solution Helpfull? Yes (3) | No (2)  

virendra  (13 years ago)

N=9+x+y-z
for maximize N alok will choose the value of x as max so he select a digit 9..
but bhanu substitute this value in Z(=9).
now eqn is
N= 9+x+y-9= X+Y
alok than select the values 9
which bhanu replace in
N=9+y then alok choose 9 for remaining y
so
N=18

Is this solution Helpfull? Yes (3) | No   

RAVI  (14 years ago)

c

Is this solution Helpfull? Yes (2) | No (12)  

geetha  (13 years ago)

N=9+X+Y-Z,
in thumb rule,X+Y-Z=11,X-Y-Z=2,X*Y-Z=18
so ans is,20

Is this solution Helpfull? Yes (2) | No (6)  

nijanthan  (13 years ago)

ans: 20.., x+y-z=11, and if it s x-y-z=2 and for x*(y-z)=18... so 9+x+y-z= (9+11)=20

Is this solution Helpfull? Yes (2) | No (1)  

Krishna KAnt Tiwari  (14 years ago)

first when alok maximize N then it will substitude 9&9on the place of x,y then the value will be 27(becoz 9 is the max.value b/w 0 to 9).
after that when bhanu minimize it with using 27 then value will be 36.
FINALLY when alok substitude the value it will same i.e.9
so the value of N at the end will 27.

Is this solution Helpfull? Yes (1) | No (15)  

sneha chatterjee  (14 years ago)

susequently put the values in the equation............xcept 0 and 9

Is this solution Helpfull? Yes (1) | No (6)  

suneil  (14 years ago)

answer is 18

Is this solution Helpfull? Yes (1) | No (2)  

Sofikul Mallick  (13 years ago)

N=9+x+y-z
here x+y-z=11
N=9+11=20

Is this solution Helpfull? Yes (1) | No (3)  

Sayan Bhaumik  (13 years ago)

answer is 20... because X+Y-z = 11 for this sort of problems

Is this solution Helpfull? Yes | No (1)  

Amarjit Das  (13 years ago)

It is a logical question for alok bhanu problem x+y+z=11
so here 9+11=20
so answer is 20

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