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21 Mar 2012, 12:33
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Difficulty:
15%
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Question Stats:
73% (00:51) correct
27%
(00:45)
wrong
based on 526
sessions
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Are the integers z and f to the right of 0 on the number line?
(1) The product of z and f is positive.
(2) The sum of z and f is positive.
(1) The product of z and f is positive.
(2) The sum of z and f is positive.
21 Mar 2012, 13:11
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Are the integers z and f to the right of 0 on the number line?
Question basically asks whether z and f are both positive.
(1) The product of z and f is positive --> zf>0 --> z and f have the same sign, they are either both positive or both negative. Not sufficient.
(2) The sum of z and f is positive --> z+f>0 --> it's certainly possible that both are positive but it's also possible one to be positive and another negative (for example z=2 and f=-1). Not sufficient.
(1)+(2) Since from (2) z+f>0 then from (1) it's not possible that z and f to be both negative. Hence, z and f are both positive. Sufficient.
Answer: C.
Question basically asks whether z and f are both positive.
(1) The product of z and f is positive --> zf>0 --> z and f have the same sign, they are either both positive or both negative. Not sufficient.
(2) The sum of z and f is positive --> z+f>0 --> it's certainly possible that both are positive but it's also possible one to be positive and another negative (for example z=2 and f=-1). Not sufficient.
(1)+(2) Since from (2) z+f>0 then from (1) it's not possible that z and f to be both negative. Hence, z and f are both positive. Sufficient.
Answer: C.
06 Feb 2017, 11:07
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Given :
Q- Y-N;
is Z,F < 0;
1. Z * F = +Ve ==
(Z,F) = ( +v,+v) : No
(Z,F) = (-v , -v ) : Yes
Insufficient:
2.Z+F = +v
Z,F = (+v,+v) : No
Z > F ( +v,-v ) : F <0, Z<0 :
Insufficient:
1+2:
from 1 ; It (Z,F) has to (-ve,-ve) or (+v,v)
from 2 : (Z,F) (+v,+v)
Hence : (Z,F) = (+v,+v) : Z,F >0 : No
C: Sufficient.
Q- Y-N;
is Z,F < 0;
1. Z * F = +Ve ==
(Z,F) = ( +v,+v) : No
(Z,F) = (-v , -v ) : Yes
Insufficient:
2.Z+F = +v
Z,F = (+v,+v) : No
Z > F ( +v,-v ) : F <0, Z<0 :
Insufficient:
1+2:
from 1 ; It (Z,F) has to (-ve,-ve) or (+v,v)
from 2 : (Z,F) (+v,+v)
Hence : (Z,F) = (+v,+v) : Z,F >0 : No
C: Sufficient.
