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If x, y and z are positive numbers, is z between x and y?

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If x, y and z are positive numbers, is z between x and y?
1) x < 2z < y
2) 2x < z < 2y
Official Answer

1 Best Answer

flamingo
0
Best answer
St 1) There will be two cases.
Case 1 x=2 y=5 z=2
Case 2 x=2, y=8, z=3(yes). Therefore insufficient.
St 2) similar cases of yes and no. Condn 2 can b written as x<Z/2<y.
Case 1 x = 2, Z=6,y= 4 (no)
Case 2 x=1, z=4 y= 5 (yes).
But if we Combine 1+2 you get x<2z<y AND x<0.5z<y.
So X<Y<Z. Sufficient
So the answer is C
answered Apr 3, 2015 by Guru (5,599 points)
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