Question
Is |n| < 1 ?
(1) nx−n<0
(2) x−1=−2
(1) nx−n<0
(2) x−1=−2
Answer: Option C
:
C
The question is "Does n lie between -1 & 1?”
(1) INSUFFICIENT: If we addnto both sides of the inequality, we can rewrite it as the following:
nx<n
we cannot decide the answer based on this
if n = 12 and x = 2 then −1<n<1
however, if n = -3 and x = 3 , n is less than -1
thus, the answer cannot be determined based on statement (1) alone
(2) INSUFFICIENT: x−1=−2can be rewritten as x=−2−1=−12.However, this statement contains no information aboutn. hence, answer cannot be determined based on this statement alone as well.
(1) AND (2) SUFFICIENT: If we combine the two statements by plugging the value for x into the first statement,we getn−1/2<n.
The only values for nthat satisfy this inequality are those greater than 1.
The correct answer is (C).
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:
C
The question is "Does n lie between -1 & 1?”
(1) INSUFFICIENT: If we addnto both sides of the inequality, we can rewrite it as the following:
nx<n
we cannot decide the answer based on this
if n = 12 and x = 2 then −1<n<1
however, if n = -3 and x = 3 , n is less than -1
thus, the answer cannot be determined based on statement (1) alone
(2) INSUFFICIENT: x−1=−2can be rewritten as x=−2−1=−12.However, this statement contains no information aboutn. hence, answer cannot be determined based on this statement alone as well.
(1) AND (2) SUFFICIENT: If we combine the two statements by plugging the value for x into the first statement,we getn−1/2<n.
The only values for nthat satisfy this inequality are those greater than 1.
The correct answer is (C).
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