Last visit was: 22 Apr 2026, 18:36 It is currently 22 Apr 2026, 18:36
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
Given Kudos: 105,823
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,754
Kudos: 810,671
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 22 Apr 2026
Posts: 8,627
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,627
Kudos: 5,190
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
TinscheLA
Joined: 15 Jan 2019
Last visit: 05 Feb 2019
Posts: 3
Given Kudos: 2
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 22 Apr 2026
Posts: 8,627
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,627
Kudos: 5,190
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TinscheLA
Archit3110
Bunuel
Set A consists of the integers 2, 3, 5, 7, and 9. Set B consists of the integers 1, 4, 6, 8, and 10. If a number in Set A is to be multiplied by a number in Set B, how many different products are possible?

A 5
B 10
C 15
D 20
E 25

total no in A = 5 which is multiplied once by 5 different no in B which are also 5
1*5 * 5 = 25
IMO E

The question is "How many different products…"
Some products are twice, so the answer can't be [E].

2*6=12 and 3*4=12
2*10=20 and 5*4= 20
3*10=30 and 5*6= 30 etc.
TinscheLA
as per your logic the answer option would be an odd integer value ; since max total values can 25 'odd' and if we remove overlapping pairs 'even' we would end up getting odd-even = odd integer
from given answer choices 5,15,25
25 is the max no of product pairs which can be formed
15 would come if we have exactly 5 pairs of overlapping/similar values total overlapping values are coming as '6' i.e " 12,20,30" ;
so the best option here is 25 only...
had 19 been given as answer option ; then it would have been correct... :)
User avatar
TinscheLA
Joined: 15 Jan 2019
Last visit: 05 Feb 2019
Posts: 3
Given Kudos: 2
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110


TinscheLA
as per your logic the answer option would be an odd integer value ; since max total values can 25 'odd' and if we remove overlapping pairs 'even' we would end up getting odd-even = odd integer
from given answer choices 5,15,25
25 is the max no of product pairs which can be formed
15 would come if we have exactly 5 pairs of overlapping/similar values total overlapping values are coming as '6' i.e " 12,20,30" ;
so the best option here is 25 only...
had 19 been given as answer option ; then it would have been correct... :)

I know :D
My answer would have been 22, since you can keep 12,20 and 30.
But since this is not an option, I've got a problem here :D
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 22 Apr 2026
Posts: 8,627
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,627
Kudos: 5,190
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TinscheLA
Archit3110


TinscheLA
as per your logic the answer option would be an odd integer value ; since max total values can 25 'odd' and if we remove overlapping pairs 'even' we would end up getting odd-even = odd integer
from given answer choices 5,15,25
25 is the max no of product pairs which can be formed
15 would come if we have exactly 5 pairs of overlapping/similar values total overlapping values are coming as '6' i.e " 12,20,30" ;
so the best option here is 25 only...
had 19 been given as answer option ; then it would have been correct... :)

I know :D
My answer would have been 22, since you can keep 12,20 and 30.
But since this is not an option, I've got a problem here :D

TinscheLA
answer cannot be an even integer ;
if 12,20,30 are overlapping in pairs so it would be 6 digits total and answer would be 25-6 = 19
:)
User avatar
TinscheLA
Joined: 15 Jan 2019
Last visit: 05 Feb 2019
Posts: 3
Given Kudos: 2
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
TinscheLA
Archit3110


TinscheLA
as per your logic the answer option would be an odd integer value ; since max total values can 25 'odd' and if we remove overlapping pairs 'even' we would end up getting odd-even = odd integer
from given answer choices 5,15,25
25 is the max no of product pairs which can be formed
15 would come if we have exactly 5 pairs of overlapping/similar values total overlapping values are coming as '6' i.e " 12,20,30" ;
so the best option here is 25 only...
had 19 been given as answer option ; then it would have been correct... :)

I know :D
My answer would have been 22, since you can keep 12,20 and 30.
But since this is not an option, I've got a problem here :D

TinscheLA
answer cannot be an even integer ;
if 12,20,30 are overlapping in pairs so it would be 6 digits total and answer would be 25-6 = 19
:)

I understand what you want to say, but I thought I could keep at least one time 12,20,30 because they are different from the other 19 products. So the answer would be 22.
But since neither 19 nor 22 is an answer choice here, I might just think to complicated and the correct answer is in fact [E) :)
User avatar
philipssonicare
Joined: 15 Feb 2018
Last visit: 22 Nov 2022
Posts: 410
Own Kudos:
Given Kudos: 2,380
Posts: 410
Kudos: 434
Kudos
Add Kudos
Bookmarks
Bookmark this Post
2 (1, 4, 6, 8, 10) = 2, 8, 12, 16, 20
3 (1, 4, 6, 8, 10) = 3, 12, 18, 24, 30
5 (1, 4, 6, 8, 10) = 5, 20, 30, 40, 50
7 (1, 4, 6, 8, 10) = 7, 28, 42, 56, 70
9 (1, 4, 6, 8, 10) = 9, 36, 54, 72, 90

5+4+3+5+5=22

Bunuel, please clarify

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Math Expert
109754 posts