GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 May 2020, 22:03

### 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

# If the product of the integers a, b, c, and d is 1,155 and if a > b >

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64216
If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 05:09
1
3
00:00

Difficulty:

5% (low)

Question Stats:

86% (01:31) correct 14% (02:17) wrong based on 188 sessions

### HideShow timer Statistics

If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Kudos for a correct solution.

_________________
Retired Moderator
Joined: 06 Jul 2014
Posts: 1200
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33
GMAT 2: 740 Q50 V40
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 05:37
1
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Kudos for a correct solution.

1155 = 3 * 5 * 7 * 11

a = 11
d = 3
a - d = 8
_________________
Manager
Joined: 17 Mar 2015
Posts: 113
If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 09:00
1
1155 is divisible by 11 from the first glance, which lets us easily split it into 11*105 and then into 11*7*5*3.
As it turns out we don't have to think much about possible products of 4 numbers, because we pretty much got 4 numbers for 4 spots and after arranging them in the corresponding order its easy to figure out that the answer is 11 - 3 = 8 which matches answer D
Senior Manager
Joined: 07 Aug 2011
Posts: 490
GMAT 1: 630 Q49 V27
If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 09:04
1
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Kudos for a correct solution.

1155= 5 * 3* 11*7
a=11
d=3

a-d = 8

Manager
Joined: 25 Nov 2014
Posts: 96
Concentration: Entrepreneurship, Technology
GMAT 1: 680 Q47 V38
GPA: 4
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 10:27
1155
divided by 5 first, got 231. Then by 3 gives 77.
thus 1155 = 3.5.7.11
a-d = 11-3 = 8
Ans D
Manager
Joined: 26 Dec 2012
Posts: 144
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

07 Apr 2015, 11:15
Factories 1155 in prime factors, we get 1155=11.7.5.3
from the question stem we know that a=11,d=3 so a-d=8

Thanks,
Math Expert
Joined: 02 Sep 2009
Posts: 64216
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

13 Apr 2015, 06:31
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Upon first glance, 1155 and four variables might look really messy. But take the first step – you know it’s divisible b y 11 and that you have to factor it. 1100 is 11*100 and 55 is 11*5, so you have 11*105. And 105 is much easier to divide out since it ends in a 5. That’s 21*5, which is 7*3*5. Once you’ve factored it down, it’s 11*7*5*3, which are all prime, so when 1 has to be less than any of these, that’s exactly a, b, c, and d. You need the biggest minus the smallest, and 11-3 is 8. What may have looked like a big, intimidating number was actually not so bad once you took the first step. It’s always darkest before the light goes on.
_________________
Intern
Joined: 30 Dec 2016
Posts: 6
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

05 Mar 2017, 01:06
Hello everybody!
I have a confusion, whether this factorization technique is the way to approach such type of question or it's appropriate with the information given in the question.
For instance i have a number 910 which is the product of abc where a>b>c and i have to find a-c.
If I take factorization technique there are four prime factors of 910, which is 2,5,7,13, so if i take 2,35(5x7),13 then answer is 33. however if i take, 10(2x5),7,13, answer is 6. Because the question ask me that a,b,c,d are integer and integers could b prime and non-prime as well.
Intern
Joined: 03 Sep 2016
Posts: 14
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

05 Mar 2017, 01:21
Ahtisham wrote:
Hello everybody!
I have a confusion, whether this factorization technique is the way to approach such type of question or it's appropriate with the information given in the question.
For instance i have a number 910 which is the product of abc where a>b>c and i have to find a-c.
If I take factorization technique there are four prime factors of 910, which is 2,5,7,13, so if i take 2,35(5x7),13 then answer is 33. however if i take, 10(2x5),7,13, answer is 6. Because the question ask me that a,b,c,d are integer and integers could b prime and non-prime as well.

I don't think that questions would be that confusing. Even if there are given just 3 integers (a,b,c) there will be given a>b>c>2.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4989
Location: India
GPA: 3.5
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

05 Mar 2017, 07:27
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Kudos for a correct solution.

$$1155 = 3*5*7*11$$

$$a > b > c > d > 1$$

So, $$a = 11$$, $$b = 7$$ , $$c = 5$$ & $$d = 11$$

So, $$a - d = 11 - 3 => 8$$

Thus, answer will be (B) 8
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Director
Joined: 02 Sep 2016
Posts: 625
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

03 Apr 2017, 04:02
1155= 3*5*7*11

a>b>c>d>1
11>7>5>3

a-d=11-3=8
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2800
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

06 Apr 2017, 08:30
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

We can start by expressing 1,155 as the product of its prime factors.

1,155 = 5 x 231 = 5 x 77 x 3 = 5 x 7 x 11 x 3

This means that a = 11, b = 7, c = 5, and d = 3.

Thus, a - d = 11 - 3 = 8.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4877
GMAT 1: 770 Q49 V46
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >  [#permalink]

### Show Tags

01 Mar 2018, 09:28
Top Contributor
Bunuel wrote:
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

This question calls for some prime factorization
1,155 = (3)(5)(7)(11)

Since 1 < d < c < b < a, we can conclude that d = 3, c = 5, b = 7 and a = 11

So, a - d = 11 - 3 = 8.

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >   [#permalink] 01 Mar 2018, 09:28