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26 Aug 2020, 01:59
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If x, y, and z are non-negative integers, is 5(x + y) + z divisible by 5?
(1) (x + y) is a multiple of 5.
(2) z is divisible by 5
(1) (x + y) is a multiple of 5.
(2) z is divisible by 5
26 Aug 2020, 02:11
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SajjadAhmad
If x, y, and z are non-negative integers, is 5(x + y) + z divisible by 5?
(1) (x + y) is a multiple of 5.
(2) z is divisible by 5
(1) (x + y) is a multiple of 5.
(2) z is divisible by 5
target is 5(x + y) + z divisible by 5
where value of x,y,z can be 0,1,2,3....
#1
(x + y) is a multiple of 5.
z is not know so insufficient
#2
z is divisible by 5
z= 5*a where a is multiple of factor with which z is divisible
so we get
5*(x+y)+5*a /5 or say 5 *[ ( x+y) +a] /5
which is yes ; sufficient
OPTION B
26 Aug 2020, 08:59
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5(x + y) is a multiple of 5. If we add z to it, the result will only be a multiple of 5 if z itself is a multiple of 5. So Statement 2 is sufficient, and Statement 1 is irrelevant, and the answer is B.
