Latest Elitmus Aptitude Question SOLUTION: z^2 = 100^2 – x^2 x From 0 to 100 for how many value of x. z is divisible by 6.

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(#M40038718) ELITMUS Numerical Ability question Keep an EYE

z^2 = 100^2 – x^2
x From 0 to 100
for how many value of x. z is divisible by 6.

Asked In Elitmus Subhash Kumar (9 years ago)

Unsolved Read Solution (15)

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Read Solution (15) :

Abhinav Mishra  (9 years ago)

for this I think there is a solution
if we put x=80 then
z^2=100^2-80^2
z^2=10000-6400
z^2=3600
z=60 which is divisible by 6.

Is this solution Helpfull? Yes (21) | No (1)  

Pranoy Bej  (9 years ago)

Z^2= 100^2 - X^2 = (100+X)(100-x)
Z=((100+X)(100-X))^1/2
let X=0 then Z= (100*100)^1/2 = 100
let X=1 then Z= (101*99)^1/2 = clearly not an integer and not divisible by 6
no Solution

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

vikash kumar  (9 years ago)

z=sqrt{(100+x)(100-x)}
for z should be divisble 6
100+x=108,144,180 and 100-x=36,72
so no of solution=5

Is this solution Helpfull? Yes (4) | No (6)  

shuvodeep roy  (8 years ago)

write a c program...you will get two values of x.
x=28 and x=80...

Is this solution Helpfull? Yes (4) | No   

vikash kumar  (9 years ago)

my above solution is wrong

no of solution=zero

z^2+(x^-100^2)=0

z={-0+sqrt(4*1*(x^-100^2))}/2*1
for divisible by 6 c
c 4*1*(x^-100^2)=10
x=100 or -100
boath are not accsolution
so no of solution will zero

Is this solution Helpfull? Yes (3) | No (9)  

Akash Kar  (9 years ago)

z^2 = 100^2 - X^2 it is form of triplet
so, Z^2 + X^2 = 100^2
it is form of triplet of 3,4,5 means (3^2 +4^2 =5^2)
now , it can be true for if it is multiple of same no. like (60^2 + 80^2=100^2)

So, it has 3 solution when (3,4,5) is multiply by (6,12,18) each time the equation is true and it is also divisible by 6

Is this solution Helpfull? Yes (3) | No   

Dheeraj Kumar  (8 years ago)

there are 33 values of x which z divisible by 6.
value of x =odd (not psbl)
hence there are are 49 even nos.
In 49 even nos. ,
16 value of x which is divisible by x(6,12,18.......90,96)-not possible
hence total no.=49-16=33

Is this solution Helpfull? Yes (2) | No   

suman kumar  (9 years ago)

the value of x=5
2^2,2^3,2^4,2^5,2^6 .after putting these in place of x we easily get the result which divide z by 6

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asmita  (9 years ago)

z^2+x^2=100^2
sqrt(z^2+x^2)=100
since z is divisible by 6
hence only one combination i.e. z=60 and x= 80
hence only one solution

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DEEPIKA MONINGI  (9 years ago)

i think x=28 & 80 will giv the z which is divisible by 6..

Is this solution Helpfull? Yes | No (1)  

prasanthi  (9 years ago)

X=82,64,46,28,10 and

X=8,26,44,62,80,98

total 11 values

Is this solution Helpfull? Yes | No   

Kundan singh  (8 years ago)

QUESTION IS WRONG.............
Z THA Z^2 NAI

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Sonu kumar  (8 years ago)

question is z=100^2-x^2

answer is 66....

Is this solution Helpfull? Yes | No (2)  

MADHVI GUPTA  (8 years ago)

guys plzzz tell the right anssss

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shilpa  (7 years ago)

x=28, z=96

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