GMAT Club Around The World!!! If h

Question

If  h < -1 < j < 0 , which of the following is true for the reciprocate of h and j?

A.  -1 < \frac{1}{h} < \frac{1}{j}

B.  \frac{1}{h} < \frac{1}{j} < -1

C.  \frac{1}{j }< \frac{1}{h} < -1

D.  \frac{1}{h} < -1 < \frac{1}{j}

E.  \frac{1}{j }< -1 < \frac{1}{h}

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TarunKumar1234 · Answer

Given, h<−1

BIDJI23 · Answer

1/J is >1
1/H is between -1 and 0

So push A

RajatJ79 · Answer

Solution  -

Considering  h < -1 < j < 0 
Let's take  h = -2  and  j = -0.5

Reciprocal of  h  is  \frac{1}{h }  =  \frac{1}{-2 }  =  -0.5

Reciprocal of  j  is  \frac{1}{j }  =  \frac{1}{-0.5 }  =  -2

Taking reciprocals of h and j, only Option E seems to be true
 \frac{1}{j }< -1 < \frac{1}{h}

Answer should be Option E

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Deepakjhamb · Answer

answer is e) E. 1/j<−1<1/h

by substituting we can see e is the answer

ananya3 · Answer

IMO E h < -1 => \frac{1}{h} > -1 Example: if h = -2 => \frac{1}{h} = -0.5 > -1 since reciprocating a number does not change the sign: 1/h < 0 and 1/j < 0 -1 < j => -1 > \frac{1}{j} Example: if j = -0.5 => \frac{1}{j} = -2 < -1 => \frac{1}{h} > -1 and -1 > \frac{1}{j} => \frac{1}{j} < -1 < \frac{1}{h}

rocky620 · Answer

Let h=-2 & j=-(1/2)

1/h = -1/2
1/j = -2

so, 1/h > -1 > 1/j

IMO Option E

Green2k1 · Answer

Correct Answer E

If h<−1<j<0, which of the following is true for the reciprocate of h and j?

can be tested by putting number
  say h = -2, 1/h = -1/2
 J = -1/2 1/j = -2

-2<-1< -1/2

1/j<-1<1/h

manasi05 · Answer

h < -1 < j < 0
h < -1 (Divide by h on both the sides and as h is a negative number so the sign will change) and -1 < j < 0 (Divide by j on both the sides and as j is a negative number so the sign will change)
h/h > -1/h and -1/j > j/j
1 > -1/h and -1/j > 1
-1 < 1/h and 1/j < -1
1/j < -1 < 1/h

So the answer will be E

MakSha · Answer

IMO option E is the answer .

since h<-1<j<0, thus, for 1/j is less than -1 and 1/h is greater than -1. Thus the answer.

CEdward · Answer

Took me a bit too long. Had to pause for a second. Take a moment to think about what it's really asking.

h < −1 < j < 0

h is less than -1. So let's say it's -4 (any number less than -1 works). The reciprocal of -4 is -1/4. -1 < -1/4 < 0 ---> -1 < 1/h < 0
j is between -1 and 0 which implies that it is a negative fraction. So let's say j = -1/4. The reciprocal of -1/4 is -4 ---> -4 < -1 < 1/h < 0.

Answer is E.

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