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

alok says first number as 5 ,then bhanu substitutes it for y (say)..then the value will be x-5-z
then wat ever alok says it will be substituted in x or z ...if he says <5 then any number he says next will be negative answer only ...so he says <5 then also the same thing happens ...so finally the negative answer in the options will be the answer and there will be only one negative answer in the options (that is the twist in the problem):)

since ALOK is selecting the values for X,Y,Z and as he is
trying to obtain a max value for N he needs to select 9,0,0
for X,Y,Z respectively since,N=9-0-0=9(max case)
But as BHANU wants a minimum value for N he will most likely
will want to obtain a negative value for N,He would hve chosen
values for X,Y,Z as 0,9,9..since N=0-9-9=-18(min case)
NOW, ALOK is chosing values n BHANU is assigning them
we will obtain -9
since, N=0-9-0=-9

here alok try to maximize the value (0 to 9) so he says
0.then bhanu will substitute it for x or y or z.then N may
either of N=x-y or N=y-z or N=x-z.
next alok need to select value so he thinks to maximize the
value.when he select 6 bhanu will substitute it then N will
be either x-6 or 6-y.then if alok select value 1 will get -5
or 5.if he select 9 N will be 3 or -3.when if 5 is selected
x-5 or 5-z. then possible maximum value is 4 or -4.so 4 will
be answer because if 5 is selected probability of getting 4
is high.so alok need to maxize N will select 5.
-----guys if found this answer wrong.please post your answer.

Alok like to maximize the value, Bhanu like to minimize the value,
for any value 1 to 9 value of the equation
N=X-Y-Z will be negative
minimum value will be X=Y=Z=9, N= -9 and maximum value
will be X=Y=Z=0 so, N=0
maximum value is 0(>any negative value).

Two computers each produced 48000 public utility bills in a
day. One computer printed bills at the rate of 9600 an hour
and the other at the rate of 7800 an hour. When the first
computer finished its run, how many bills did the other
computer still have to print?

If q is a multiple of prime numbers, is q a multiple of r?
1) r < 4.
2) q = 18.
a) if statement (1) ALONE is sufficient, but statement (2)
alone is not sufficient to answer the question.
b) if statement (2) ALONE is sufficient, but statement (1)
alone is not sufficient to answer the question.
c) if BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE is
sufficient.
d) if EACH statement ALONE is sufficient to answer the
question asked.
e) if statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to
the problem are needed.

There are two candles of equal lengths and of different
thickness. The thicker one lasts of six hours. The thinner
2 hours less than the thicker one. Ramesh lights the two
candles at the same time. When he went to bed he saw the
thicker one is twice the length of the thinner one. How
long ago did Ramesh light the two candles .