Question
Is |n| < 1 ?
(1) nx−n<0
(2) x−1=−2
Answer: Option C
:
C
(1) INSUFFICIENT: If we add n to both sides of the inequality, we can rewrite it as the following:
Was this answer helpful ?
:
C
The question is "Does n lie between -1 & 1?”
(1) INSUFFICIENT: If we add n to 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=−2 can be rewritten as x=−2−1=−12. However, this statement contains no information about n. 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 get n−1/2<n.
The only values for n that satisfy this inequality are those greater than 1.
The correct answer is (C).
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution