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Founder  Joined: 18 Apr 2015
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Kudos [?]: 1430 , given: 6569

k is an integer such that 9(3)^3 + 4 = k [#permalink]
Expert's post 00:00

Question Stats: 48% (01:40) correct 51% (01:06) wrong based on 33 sessions

k is an integer such that $$9(3)^3 + 4 = k$$

 Quantity A Quantity B The average of the prime factors of k 16

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ Director Joined: 03 Sep 2017
Posts: 520
Followers: 1

Kudos [?]: 361  , given: 66

Re: k is an integer such that 9(3)^3 + 4 = k [#permalink]
1
KUDOS
What is essential here is to notice that k is defined as a sum of two numbers so that in order to compute its prime factors, we must first find k.

Thus k = 247, then its prime factors are 17 and 19, whose mean is 17+19/2 = 16 Intern Joined: 10 Nov 2017
Posts: 5
Followers: 0

Kudos [?]: 7  , given: 0

Re: k is an integer such that 9(3)^3 + 4 = k [#permalink]
1
KUDOS
What is essential here is to notice that k is defined as a sum of two numbers so that in order to compute its prime factors, we must first find k.

Thus k = 247, then its prime factors are 17 and 13, whose mean is (17+13)/2 = 16 Intern Joined: 17 Feb 2018
Posts: 31
Followers: 0

Kudos [?]: 25  , given: 2

Re: k is an integer such that 9(3)^3 + 4 = k [#permalink]
1
KUDOS
First find out K=247
Then find the factor of 247.Knowing its units digit is 7 so one factor's units digit number must be 7 or 3 and 9. Since only 7 and the product of 3 and 9 give us 7 in units digit.
Use trial and error method divide 247 by 7,17,3,9,13 and 19 to find out 247 is the product of 13 and 19.
Find the average of 13 and 19 which equal to 16.Answer C.
Intern Joined: 14 Jan 2019
Posts: 31
Followers: 0

Kudos [?]: 8 , given: 5

Re: k is an integer such that 9(3)^3 + 4 = k [#permalink]
K=247

To test if K is a prime number divide K by prime numbers below sqrt of K (<16)

2,3,5,7,11,13

K is divisible by 13

K=13*19

Average= 32/2=16 Re: k is an integer such that 9(3)^3 + 4 = k   [#permalink] 11 Feb 2019, 20:37
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