It is currently 22 Feb 2018, 17:01

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If the integers a and n are positive and the product of the first

Author Message
TAGS:

Hide Tags

Retired Moderator
Joined: 12 Aug 2015
Posts: 2424
GRE 1: 323 Q169 V154
If the integers a and n are positive and the product of the first [#permalink]

Show Tags

24 Aug 2016, 01:49
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

44% (01:39) correct 56% (02:53) wrong based on 68 sessions

HideShow timer Statistics

If the integers a and n are positive and the product of the first 8 positive integers is a multiple of a^n, what is the value of a ?

(1) a^n = 64
(2) n=6

After doing the above question Do try your hands on this Official GMAT PREP Question => if-the-integers-a-and-n-are-greater-than-1-and-the-product-58703.html
[Reveal] Spoiler: OA

_________________

Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

Retired Moderator
Joined: 26 Nov 2012
Posts: 597
Re: If the integers a and n are positive and the product of the first [#permalink]

Show Tags

24 Aug 2016, 03:01
[quote="stonecold"]If the integers a and n are positive and the product of the first 8 positive integers is a multiple of a^n, what is the value of a ?

(1) a^n = 64
(2) n=6

The product of first 8 positive intergers are 1.2.3.4.5.6.7.8 = 64*144*5

Stat 1: a^n = 64 ( here 64 can be written 2^6 , 4^3 and 8^2 ) then a can be 2,4 and 8 and n 6,3 and 2...Insufficient..no unique

Stat 2: only n given, we don't have info about a..Insufficient.

Stat 1+2 : when n = 6 then a = 2... (2^6 case ).

Hence option C..
Retired Moderator
Joined: 12 Aug 2015
Posts: 2424
GRE 1: 323 Q169 V154
Re: If the integers a and n are positive and the product of the first [#permalink]

Show Tags

24 Aug 2016, 03:15
msk0657 wrote:
stonecold wrote:
If the integers a and n are positive and the product of the first 8 positive integers is a multiple of a^n, what is the value of a ?

(1) a^n = 64
(2) n=6

The product of first 8 positive intergers are 1.2.3.4.5.6.7.8 = 64*144*5

Stat 1: a^n = 64 ( here 64 can be written 2^6 , 4^3 and 8^2 ) then a can be 2,4 and 8 and n 6,3 and 2...Insufficient..no unique

Stat 2: only n given, we don't have info about a..Insufficient.

Stat 1+2 : when n = 6 then a = 2... (2^6 case ).

Hence option C..

You forgot to mention that A=1 and N=6 is a case here too

Take a note

_________________

Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

Retired Moderator
Joined: 26 Nov 2012
Posts: 597
Re: If the integers a and n are positive and the product of the first [#permalink]

Show Tags

24 Aug 2016, 04:20
stonecold wrote:
msk0657 wrote:
stonecold wrote:
If the integers a and n are positive and the product of the first 8 positive integers is a multiple of a^n, what is the value of a ?

(1) a^n = 64
(2) n=6

The product of first 8 positive intergers are 1.2.3.4.5.6.7.8 = 64*144*5

Stat 1: a^n = 64 ( here 64 can be written 2^6 , 4^3 and 8^2 ) then a can be 2,4 and 8 and n 6,3 and 2...Insufficient..no unique

Stat 2: only n given, we don't have info about a..Insufficient.

Stat 1+2 : when n = 6 then a = 2... (2^6 case ).

Hence option C..

You forgot to mention that A=1 and N=6 is a case here too

Take a note

You forgot to mention that A=1 and N=6 is a case here too
we can't take exactly a = 1 then we can take even 2 ...still 2^6 is a factor...

if there is such condition that a > 1 then only 2^6 is apt.
Retired Moderator
Joined: 12 Aug 2015
Posts: 2424
GRE 1: 323 Q169 V154
Re: If the integers a and n are positive and the product of the first [#permalink]

Show Tags

24 Aug 2016, 07:06
msk0657 We can take anything we want unless we are satisfying the conditions provided by the question
Thats the sole purpose of using "TEST CASES"

Regards
Stone Cold
_________________

Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

Chat Moderator
Joined: 04 Aug 2016
Posts: 596
Location: India
GPA: 4
WE: Engineering (Telecommunications)
Re: If the integers a and n are positive and the product of the first [#permalink]

Show Tags

13 Apr 2017, 05:17
Here is why I chose C. stonecold can rip it apart.

1. $$a^{n}$$ = 64

$$2^{6}$$ or $$4^{3}$$; different values. statement 1 is insufficient

2. n=6

If I look at the product then it can be deduced to prime numbers as $$2^{7}$$ * $$3^{2}$$ * 5 * 7.

40320 =k * $$a ^{6}$$

$$2^{7}$$ * $$3^{2}$$ * 5 * 7 = k * $$a ^{6}$$

a can take different values based on multiplier value; a=2 or a=1

statement 2 is insufficient

Both together -> n=6 and $$a ^{6}$$ = 64; then a=2.

C is sufficient.
Re: If the integers a and n are positive and the product of the first   [#permalink] 13 Apr 2017, 05:17
Display posts from previous: Sort by