Last visit was: 25 Apr 2026, 05:02 It is currently 25 Apr 2026, 05:02
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,826
Own Kudos:
811,157
 [22]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,826
Kudos: 811,157
 [22]
If p is divisible by 7 and q is divisible by 6, pq must have at least 13 Aug 2018, 04:56
Kudos
Add Kudos
21
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

57% (01:07) correct 43% (01:06) wrong based on 740 sessions

History

Date
Time
Result
Not Attempted Yet
If p is divisible by 7 and q is divisible by 6, pq must have at least how many factors greater than 1?

(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
KSBGC
User avatar
Joined: 31 Oct 2013
Last visit: 10 Mar 2022
Posts: 1,240
Own Kudos:
1,509
 [8]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Posts: 1,240
Kudos: 1,509
 [8]
If p is divisible by 7 and q is divisible by 6, pq must have at least 13 Aug 2018, 10:18
6
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel
If p is divisible by 7 and q is divisible by 6, pq must have at least how many factors greater than 1?

(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
Show more


p is divisible by 7

q is divisible by 6

So, pq could be 42 and its multiples. We are looking for least number of factors GREATER than 1.

Let's factorize 42.

42 = 3*2*7

Total factor: (1+1 ) (1 + 1 ) (1 + 1) = 8

But we need to deduct 1 as we are looking for factors greater than 1.

So , there are at least 7 factors.

The best answer is D.
General Discussion
User avatar
longway25
User avatar
Joined: 13 Aug 2017
Last visit: 30 Jan 2020
Posts: 25
Own Kudos:
22
Given Kudos: 16
Location: India
Schools: ISB '21 (S)
Schools: ISB '21 (S)
Posts: 25
Kudos: 22
If p is divisible by 7 and q is divisible by 6, pq must have at least 13 Aug 2018, 05:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If p is divisible by 7 and q is divisible by 6, pq must have at least how many factors greater than 1?

(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
Show more
Option (B)
Actually pq has 5 factors greater than 1. Is that correct?
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,455
 [2]
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,455
 [2]
If p is divisible by 7 and q is divisible by 6, pq must have at least 13 Aug 2018, 07:30
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kaushal25
Bunuel
If p is divisible by 7 and q is divisible by 6, pq must have at least how many factors greater than 1?

(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
Option (B)
Actually pq has 5 factors greater than 1. Is that correct?
Show more

No it can't be as

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

So, least no of factors greater than 1 are 7 {2, 3, 6, 7, 14, 21, 42}, Answer must be (D)
User avatar
mysterymanrog
User avatar
CR Forum Moderator
Joined: 25 Jan 2022
Last visit: 06 Feb 2026
Posts: 791
Own Kudos:
714
Given Kudos: 559
Location: Italy
Schools: HEC (A) LBS (D) ESSEC (A)
GPA: 3.8
Schools: HEC (A) LBS (D) ESSEC (A)
Posts: 791
Kudos: 714
If p is divisible by 7 and q is divisible by 6, pq must have at least 13 Jun 2023, 01:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given:

\(\frac{p}{7}=k\)
\(p=7k\)
\(\frac{q}{6}=z\)
\(q=6z\)
\(pq=42zk\)
As shown by the formula of pq, pq must be divisible by 42.
Factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42 -> total of 8 factors
Since we are told to look for factors greater than 1, the number becomes 7 factors.
D.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,977
Own Kudos:
1,117
Posts: 38,977
Kudos: 1,117
If p is divisible by 7 and q is divisible by 6, pq must have at least 22 Oct 2025, 20:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109825 posts
Krunaal
Tuck School Moderator
853 posts