Latest Elitmus Aptitude Question SOLUTION: Q. If x and y are two integers then number of possible solutions for 5|x|+2|y|=100 ?

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Quadratic Equations

Elitmus Question Papers:

(#M40031955) ELITMUS Numerical Ability question Number System Keep an EYE

Q. If x and y are two integers then number of possible solutions for 5|x|+2|y|=100 ?

Asked In Elitmus (10 years ago)

Unsolved Read Solution (8)

Is this Puzzle helpful?   (4)   (1) Submit Your Solution Quadratic Equations

Read Solution (8) :

RAKESH  (10 years ago)

5|x|+2|y|=100
=> 5|x|=100-2|y|
(100-2|y|) is even so 5|x| should even
for
x=0,y=50
x=2,y=45
x=4,y=40
x=6,y=35
....
x=18,y=5
x=20,y=0

for x=0,y=50,(x,y)=(0,50)&(0,-50) => 2 soln
for x=20,y=0,(x,y)=(20,0)&(-20,0) => 2 soln

for remaining 9 soln, (x,y)=(2,4,6..,18, 45,40,35,..5)
4 soln for each pair
for x=2,y=45, (x,y)=(2,45)(-2,45)(-2,-45)(2,-45)
similarly 4 soln for remaining 8 pair

total no. of soln= 2+2+9*4= 40

Is this solution Helpfull? Yes (19) | No (1)  

mohan lal garg  (10 years ago)

5|x|+2|y|=100
solution for integer solution x is always even
possible value of x=(-20,-18,-16.........0,2,4,6.....20){total 21 valus
for every value of x y have 2 solution + or - remaining at -20 and 20 (y=0)
so total solution =21*2-2=40

so ans is 40

Is this solution Helpfull? Yes (4) | No (3)  

vertika srivastav  (10 years ago)

@Rakesh kindly solve all ques ur solution seems logical.....

Is this solution Helpfull? Yes (4) | No   

kirankumar  (10 years ago)

Ans:- 40

I checked by programming.. they given mod it means we need to take -ve and +ve numbers.

Is this solution Helpfull? Yes (2) | No   

varalakshmi  (10 years ago)

100/lcm of 5&2
100/10=10

Is this solution Helpfull? Yes (1) | No   

arun m d  (10 years ago)

2*anything is an even number.
hence 2|y|=100-5|x| has to be an even number.
which can be possible if and only if 5|x| is an even number. hence x can be of range 2,4,6,8,10,12,14,16,18,20 and its negative representations along with a 0(zero). hence total possible solutions is 21

Is this solution Helpfull? Yes (1) | No   

amit choudhary  (10 years ago)

@Arun,but 21 wasn't there among options..

Is this solution Helpfull? Yes | No   

kaushal kishor rahi  (10 years ago)

good job rakesh

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.