Latest Elitmus Aptitude Question SOLUTION: x,y odd z is even ((x^2+y^2)z^2)/8 is A)even b)odd c) either even or odd d)fraction

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(#M40153912) ELITMUS Numerical Ability question maths Keep an EYE

x,y odd z is even

((x^2+y^2)z^2)/8 is
A)even b)odd c) either even or odd d)fraction

Asked In Elitmus sagar kumar (8 years ago)

Unsolved Read Solution (11)

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Priyanka thakur  (8 years ago)

((15^2+13^2)14^2)/8=((225+169)196)/8=(394)196/8=197*49=9653(odd no)
((3^2+5^2)4^2)/8=68(even no)
so ans is C either even or odd

Is this solution Helpfull? Yes (20) | No (3)  

Vikas Jha  (8 years ago)

c) either even or odd
one thing is sure that the above expression is divisible by 8 because (odd+odd)=even and even*even=even
above expression will contain atleast three 2's in multiplication.
Now.. we can see that when a no such as 24/8 gives 3 and 48/8 gives 6.. hence above expression can also give even or odd value.

Is this solution Helpfull? Yes (7) | No (2)  

subhajit Roy   (8 years ago)

when any number is divided by 8 it can be odd or even...
ans: C

Is this solution Helpfull? Yes (4) | No (2)  

shankar sahu  (8 years ago)

Option is c....

Is this solution Helpfull? Yes (3) | No   

Vidyakant soni   (8 years ago)

Any number which is a squre of even number is divisible by 4....
Squre of any odd digit is odd and some of two odds is even..
So, the resultant number would be divisible by 8.....
Now after dividing we will be having one odd/even and one even digit whose product is always even....
So the answer is a

Is this solution Helpfull? Yes (1) | No (5)  

PARNITA KUMARI  (8 years ago)

ans is: even
taken for example 3,5 as x and y
8 as z then after solving it we get an even no

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

abhisek  (8 years ago)

c ,either even or odd
take
x=1 ,y=3 z=2
(1^2+3^2)*2^2=40/8=5
take x=7,y=9 z=4
130*16/8=even

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Vikash kumar  (7 years ago)

we know that :
(even)^ 2= even
(odd)^2 = odd
even+odd=odd
odd* even=odd and even

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piyush kumar  (8 years ago)

as given that x and y are odd nos and z is even no
so,x exponential 2 would be odd
similarly,y exponential 2 would be odd.
and z exponential 2 would be even
so,(odd+odd)*even/even must be an even no.so A will be the correct option.

Is this solution Helpfull? Yes | No (2)  

sreemadhuri marapureddy  (8 years ago)

odd is ans
let x=3,y=5,x=2
(9+25)4/8
(34*4)/8
17(odd)

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shilpa  (7 years ago)

ans is either ever or odd

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