GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 24 Aug 2019, 14:06

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

The sum of five consecutive integers is 35. How many of the five conse

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 57279
The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 05:42
00:00

Difficulty:

25% (medium)

Question Stats:

76% (00:49) correct 24% (01:03) wrong based on 38 sessions

HideShow timer Statistics

The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

_________________
Senior Manager
Joined: 09 Aug 2017
Posts: 403
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 05:47
n+n+1+n+2+n+3+n+4= 35
n=5.
Two prime numbers out of 5.
C is correct.
ISB School Moderator
Joined: 08 Dec 2013
Posts: 582
Location: India
Concentration: Nonprofit, Sustainability
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 06:10
gvij2017 wrote:
n+n+1+n+2+n+3+n+4= 35
n=5.
Two prime numbers out of 5.
C is correct.

n is not 5 but 7.

Let the numbers be, n, n+1, n-1, n+2 and n-2; adding them we get=> n*5=35, so n is 7,

Numbers: 7,8,6,9,5; Primes: 5 and 7.
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.

GMAT Math Book

-I never wanted what I gave up
I never gave up what I wanted-
Intern
Status: Classified
Joined: 19 Jun 2019
Posts: 32
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 06:16
Bunuel wrote:
The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

Let the five consecutive integers be $$(n-2)$$, $$(n-1)$$, $$n$$, $$(n+1)$$, $$(n+2)$$.

Sum of the five consecutive integers is 35
$$\implies (n-2) + (n-1) + n + (n+1) + (n+2) = 35$$
$$\implies n = 7$$
$$\implies$$ The five consecutive numbers are $$5$$, $$6$$, $$7$$, $$8$$, $$9$$.

There are two prime numbers, $$5$$ and $$7$$, among them.
_________________
Best
VP
Joined: 03 Jun 2019
Posts: 1080
Location: India
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 07:38
LeoN88 wrote:
gvij2017 wrote:
n+n+1+n+2+n+3+n+4= 35
n=5.
Two prime numbers out of 5.
C is correct.

n is not 5 but 7.

Let the numbers be, n, n+1, n-1, n+2 and n-2; adding them we get=> n*5=35, so n is 7,

Numbers: 7,8,6,9,5; Primes: 5 and 7.

Both approaches are correct and yield the same result

First Approach: -
If we assume numbers as n, n+1, n+2, n+3 and n+4 then
n+n+1+n+2+n+3+n+4 = 5n+10 = 35
n=25/5 = 5

Numbers are 5,6,7,8 & 9
5 & 7 are prime

IMO C

Second Approach: -
If we assume numbers as n, n+1, n+2, n-1 and n-2 then
n+n+1+n+2+n-1+n-2 = 5n = 35
n=35/5 = 7

Numbers are 5,6,7,8 & 9
5 & 7 are prime

IMO C

But the end result of both approaches is the same.

It is better to assume 5 consecutive integers as n-2 ,n-1, n, n+1, n+2 since it eases the calculations in most cases.
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4534
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 10:39
Bunuel wrote:
The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

given
5x+10=35
x=5
so series ; 5,6,7,8,9
2 prime
IMO C
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
VP
Joined: 07 Dec 2014
Posts: 1231
The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 12:16
Bunuel wrote:
The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

mean=35/5=7
sequence=5,6,7,8,9
2
C
Manager
Joined: 18 Dec 2017
Posts: 173
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

11 Aug 2019, 12:39
Bunuel wrote:
The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

5+6+7+8+9 is 35. 2 numbers are prime in this.
IMO C.
_________________
Please be generous in giving kudos
“Practice is the hardest part of learning, and training is the essence of transformation.” ― Ann Voskamp
Software Tester currently in USA ( )
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7467
Location: United States (CA)
Re: The sum of five consecutive integers is 35. How many of the five conse  [#permalink]

Show Tags

14 Aug 2019, 17:46
1
Bunuel wrote:
The sum of five consecutive integers is 35. How many of the five consecutive integers are prime numbers?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

The sum of 5, 6, 7, 8, and 9 is 35. Of these five numbers, 5 and 7 are prime numbers.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 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.

Re: The sum of five consecutive integers is 35. How many of the five conse   [#permalink] 14 Aug 2019, 17:46
Display posts from previous: Sort by