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25 Aug 2019, 23:53
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If r, s, and t are consecutive even integers and r < s < t, which of the following must be true?
I. t - r = 4
II. (s - r)t is an even integer.
III. (r + s + t)/3 is an even integer.
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
I. t - r = 4
II. (s - r)t is an even integer.
III. (r + s + t)/3 is an even integer.
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
PrafulKashyap
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26 Aug 2019, 00:26
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from the given conditions we can conclude that
r=2x
s=2x+2
t=2x+4
I. t - r = 4
2x+4 - 2x = 4
True
II. (s - r)t is an even integer
(2x+2 - 2x) 2x+4 = (2x+4)2 even
True
III. (r + s + t)/3 is an even integer
(2x+2x+2+2x+4)/3= (6x+6)/3 = 2x+2 even
True
answer E
r=2x
s=2x+2
t=2x+4
I. t - r = 4
2x+4 - 2x = 4
True
II. (s - r)t is an even integer
(2x+2 - 2x) 2x+4 = (2x+4)2 even
True
III. (r + s + t)/3 is an even integer
(2x+2x+2+2x+4)/3= (6x+6)/3 = 2x+2 even
True
answer E
26 Aug 2019, 03:55
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As the numbers are consecutive even integers we have:
2n,2n+2,2n+4
2n+4-2n=4✔
(2n+4-(2n+2))×2n=4n✔
2n+2n+2+2n+4 /3=6n+6 /3
=2n+2✔
Option E
Posted from my mobile device
2n,2n+2,2n+4
2n+4-2n=4✔
(2n+4-(2n+2))×2n=4n✔
2n+2n+2+2n+4 /3=6n+6 /3
=2n+2✔
Option E
Posted from my mobile device
