You probably misunderstood and worked for only primes.
The question stem states integers.

from statement 1 : Factors of 30 that are between 2 and 8 are: 3, 5 and 6. Not Sufficient

from statement 2: Factors of 12 that are between 2 and 8 are: 3 and 6. Not Sufficient

Both taken together: k can be either 3 or 6. Not Sufficient.

You missed 6.
Hope that helps.

1: k=3,5,6 Insuff

2: k=3,4,6


Together k=3 or 6


E

E

from stat 1, k is 3, 5 or 6

from stat 2, k is either 3,4 or 6

together, k is either 3 or 6.

If k is an integer and 2 < k < 8, what is the value of k ?

(1) k is a factor of 30.
(2) k is a factor of 12

Ohh, thanks. For some unknown reason i thought the factor is prime. Thanks again.

hi mate, what you are missing is 5, 6 they too are factors mate
and 3, 6 are our traps

St I k= 3,5,6 insufficient
St II k = 3,4,6 insufficient
St I and II k = 3, 6 insufficient

Hence Option E is correct

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Bunuel VeritasPrepKarishma niks18


Is B incorrect since Q mentions about factors (ie no when divided by factor will leave remainder as zero)
and not prime factors (B's distinct prime factors shall be 2 and 3) Since only 3 falls in range
given by Q, B would have been correct answer choice.
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Yes. The factors of 12 are 1, 2, 3, 4, 6, and 12. While prime factors of 12 are 2 and 3.
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(1) The factors of 30 are {1, 2, 3, 5, 6, 10, 15, 30}

Factors that are between 2 and 8 are {3, 5, 6} --> We have 3 choices --> Not Suff.

(2) The factors of 12 are {1, 2, 3, 4, 6, 12}

Factors that are between 2 and 8 are {3, 4, 6} --> We have 3 choices --> Not Suff.

(1)(2) k=3 and k=6 are the two possible values for k --> Not suff

Answer E

It's a good idea to use the factor tree in order to find factors quickly. Here' an explanation of this 2 < k < 8 question on YouTube:

https://www.youtube.com/watch?v=z5jAa4p ... g1UVB6AiDY

St(1): K is a factor of 30

Since k is an integer between 2 and 8,the possible values of k are 3,5 and 6.

Since we have no definite value of k, the statement stands insufficient.

(insufficient)
Eliminate A,D.

St(2):K is a factor of 12

Since k is an integer between 2 and 8,the possible values of k are 3,4,6.

Since we have no definite value of k, the statement stands insufficient.
(insufficient)
Eliminate B

On combining 1 & 2,

K is a factor of 30 and K is a factor of 12

Since k is an integer between 2 and 8,the possible values of k are 3,6

Once again, there is no definite value of k
(option e)

D.S
GMAT SME
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