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Emily0414
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Can any one plz explain how it is b ans ?

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Can any one plz explain how it is b ans ?

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Hi,

Let's consider an example to make it clear.

First, Let's take k=-1,

Substituting the value into statement 2 we will get:
(-1) + (-1*-1*-1)
=-1 + (-1)
=-2

Now let's take k=1,
Substituting in the same manner we will get the answer as 2.

The concept that needs to be understood here is that only a negative number when cubed (^3) will yield a negative number since -x*-x*-x will always be -x^3.

Using this logic, it is safe to conclude that for k+k^3 to be less than 0, k has to be negative.

After establishing that k is a negative integer, the question becomes a matter of simple substitution.

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johnnyinpain
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can be rephrased into k(1+k+k^2)<0, here 1+k+k^2 is always +ve, so it all comes down to k,
statement 1 doesn't say anything about k being - ve of +ve, so insufficient, statement 2 however tells us that k is - ve, so sufficient, Ans B

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Emily0414
k+k^2+k^3<0 ?
1) 9<k^2<16
2) k+k^3<0




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