(Go: >> BACK << -|- >> HOME <<)

Last visit was: 03 Jun 2024, 02:54 It is currently 03 Jun 2024, 02:54
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Board of Directors
Joined: 01 Sep 2010
Posts: 4490
Own Kudos [?]: 33201 [10]
Given Kudos: 4498
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 93501
Own Kudos [?]: 628762 [1]
Given Kudos: 82071
Send PM
Manager
Manager
Joined: 15 Jan 2018
Posts: 56
Own Kudos [?]: 128 [0]
Given Kudos: 30
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6817
Own Kudos [?]: 30411 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: What is the least integer that is a sum of three different primes each [#permalink]
Expert Reply
Top Contributor
edlc313 wrote:
Is there a more efficient method than listing primes, adding them, and matching it to the answer choices?



I don't believe there is a more efficient method than the one Bunuel has demonstrated
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4940
Own Kudos [?]: 7705 [0]
Given Kudos: 216
Location: India
Send PM
What is the least integer that is a sum of three different primes each [#permalink]
Top Contributor
Question: What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83


This is a fairly easy question testing on the basic or very fundamental knowledge on Primes. :)

:idea: GMAT Track of Thought 1

What are Prime Numbers? :think:

A prime number (or a prime) is a positive integer greater than 1, that has exactly two distinct positive divisors(factors),1 and itself. The integer 1 is not considered a prime number since it has only one divisor, 1. The only even prime number is 2.
If I have to list out primes between 1-10 they would be { 2,3,5,7}

:idea: GMAT Track of Thought 2

Coming back to the question-
Three different primes, each greater than 20 would be the 3 immediate consecutive primes greater than 20 to minimize the sum.
They are 23,29,31
Sum of these primes = 23 + 29 + 31 =83

(option e)

Devmitra Sen
GMAT Mentor
Intern
Intern
Joined: 12 Jun 2023
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 41
Location: India
GMAT 1: 300 Q21 V12
Send PM
Re: What is the least integer that is a sum of three different primes each [#permalink]
i got A as an answer because i thought that it is not mentioned that all 3 primes have to be distinct
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6066
Own Kudos [?]: 4725 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
Re: What is the least integer that is a sum of three different primes each [#permalink]
carcass wrote:
What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83

23 + 29 + 31 = 83, Answer must be (E)
Re: What is the least integer that is a sum of three different primes each [#permalink]
Moderator:
Math Expert
93501 posts