Is K an integer? (1) K=P/Q, where P and Q are consecutive

Question

Is K an integer?

(1) K=P/Q, where P and Q are consecutive integers;
(2) K=N^N, where N is an integer

bmwhype2 · Answer

E

1. 
2/3 fraction
0/1 integer of 0

2. variable exponents are dangerous. especially negative ones.

1^1 = 1
2^-2 = -1/4

taken together insuff

sondenso · Answer

Note that: N^N, not N^-N. So, B is sufficient

bmwhype2 · Answer

sorry.

N can be a negative number. -N would make it a positive
-3^-3
still E

walker · Answer

C  ???

1. K=P/Q=(m±1)/m=1±1/m ==> possible integer at m=±1: k e {0,2} otherwise k is not integer. INSUFF.

2. K=N^N: at N=3: K=27; at N=-3: K=-1/27. INSUFF.

1&2. there is no K that satisfied both conditions. So, K is not integer?????

bmwhype2 · Answer

whoops. walker is correct. i guess i fell for the "is/are" trap

kumarajeet06 · Answer

Is K an integer?

(1) K=P/Q, where P and Q are consecutive integers;
(2) K=N^N, where N is an integer

 from 1, if P2 and Q=1 then k is integer otherwise not so it is insufficient
from 2, k is integer if N is +ve interger and k is not integer if it is -ve Integer

from 1 and 2, no value of k is possible so

i would go with E

GK_Gmat · Answer

Got the same. This cannot be a GMAT question it seems!

ashkrs · Answer

Agree, this could not be a gmat question. But we can definitely get this type of question with some more information. THis is controversial question from an old thead with OA E . But it all depends how we define 0^0 . https://www.gmatclub.com/forum/t924

Amit05 · Answer

I would go for E.

St1 : let's say p=0 and q=1 => k = 0 ------ Integer
 p=1 and q=2 => k = 0.5 --- Not integer

Insuff.

St2: N = 1, K = 1 ------- Integer
 N = 2, K = 4 -------- Integer
 N = -1, K =1 ---------- Integer
 N = -2, K = 1/4 ------- Not Integer
 N = -3, k = 1/(-243) ------ Not an integer

Hence Insuff..

Even, by combining, It is not possible to determine if K is integer or not.. Hence E.

I don't think we need to depend on the outcome 0^0 to determine this.. 

What is the OA ?

walker · Answer

try to find integer K that satisfies both conditions.

Is K an integer? (1) K=P/Q, where P and Q are consecutive

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