K^2+k-2>0
(K-1)(k+2)>0
so eithere K>1 & K>-2
Or k<1 & k<-2
Plot the options on Number line
I) no suff
II) no suff
I+II = Suff Ans C.
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K^2 + K -2 >0
Source: Beat The GMAT — Data Sufficiency |
IMO A
'K' is not an integer as per the Q stem
so assuming the max val of 'K' to be 0.999 and substituting it we get the value of K^2+K- 2 as as a negative decimal less than 0.
so 'A' is sufficient.
'K' is not an integer as per the Q stem
so assuming the max val of 'K' to be 0.999 and substituting it we get the value of K^2+K- 2 as as a negative decimal less than 0.
so 'A' is sufficient.
Is K^2 + K-2 >0 ?
1) k<1
2) k>-1
The above equation can be deduced to (k + 2) ( k -1) > 0
This is satisfied by k > -2 and K > 1 i.e k > 1
1) k < 1
plug in 0
-2 > 0 not satisfied
plug in -10
100 - 10 - 2 > 0
88 > 0 satisfies
Hence A alone is not sufficient
2) k > -1
plug in 0
-2 > 0 doesnt satisfy
plug in 10
100 + 10 - 2 > 0
108 > 0 satisfies
Hence B alone is not sufficient
Combinig both A and B
-1 < k < 1
plug in 0
- 2 > 0 doesnt satisfy
plug in 0.9
0.81 + 0.9 - 2 > 0
-1.1 > 0 doesnt satisfy
We can be able to answer the question only when both the statements are combined
Hence C
1) k<1
2) k>-1
The above equation can be deduced to (k + 2) ( k -1) > 0
This is satisfied by k > -2 and K > 1 i.e k > 1
1) k < 1
plug in 0
-2 > 0 not satisfied
plug in -10
100 - 10 - 2 > 0
88 > 0 satisfies
Hence A alone is not sufficient
2) k > -1
plug in 0
-2 > 0 doesnt satisfy
plug in 10
100 + 10 - 2 > 0
108 > 0 satisfies
Hence B alone is not sufficient
Combinig both A and B
-1 < k < 1
plug in 0
- 2 > 0 doesnt satisfy
plug in 0.9
0.81 + 0.9 - 2 > 0
-1.1 > 0 doesnt satisfy
We can be able to answer the question only when both the statements are combined
Hence C
agrre with C. when -1<k<1 we can answer to the answer with a definite "no", hence suff.
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