What is the solution to the attached problems?
Thanks
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8)
Amazingly tricky! Gmat's def getting hard![Sad :-(](./images/smilies/sad.png)
Anyways, here it goes
1) (K+1)^3 = (k+1)^2 * (k+1)
= k3 + k2 + 2k2+2k+k+1
So, the question is basically asking you the remainder for
(k3 + k2 + 2k2+2k+k+1)/k
so if you divide this by k, you'll be left with 1/K as the only thing that is not divisible by K and since K>1, the remainder shall always be one (1/2 - remainder =1 ; 1/192302 - remainder always 1).
It took me a couple of minutes to fig this out.
2) K=5 tells us nothing.
Though even if you dint figure out statement 1 -why did you pick E - with the info given in B added to the info given in A - you could have found the answer. C would have been a better guess.
9)
Let the lines be y1 = m1x1 + c1
and y2 = m2x2 + c2
from A :
(-c1/m1) * (-c2/m2) >0 - insufficient
From B
C1*C2 <0 - Insufficient
From A and B
let P = C1*C2 - we know P<0
so statement A becomes P/(m1*m2)>0 - so m1*m2 has to be >0 for this equation to hold.
Let me know if this helps.
Amazingly tricky! Gmat's def getting hard
![Sad :-(](./images/smilies/sad.png)
Anyways, here it goes
1) (K+1)^3 = (k+1)^2 * (k+1)
= k3 + k2 + 2k2+2k+k+1
So, the question is basically asking you the remainder for
(k3 + k2 + 2k2+2k+k+1)/k
so if you divide this by k, you'll be left with 1/K as the only thing that is not divisible by K and since K>1, the remainder shall always be one (1/2 - remainder =1 ; 1/192302 - remainder always 1).
It took me a couple of minutes to fig this out.
2) K=5 tells us nothing.
Though even if you dint figure out statement 1 -why did you pick E - with the info given in B added to the info given in A - you could have found the answer. C would have been a better guess.
9)
Let the lines be y1 = m1x1 + c1
and y2 = m2x2 + c2
from A :
(-c1/m1) * (-c2/m2) >0 - insufficient
From B
C1*C2 <0 - Insufficient
From A and B
let P = C1*C2 - we know P<0
so statement A becomes P/(m1*m2)>0 - so m1*m2 has to be >0 for this equation to hold.
Let me know if this helps.