Last visit was: 24 Apr 2026, 15:46 It is currently 24 Apr 2026, 15:46
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
   1   2   3   
555-605 (Medium)|   Math Related|         
User avatar
Gmat860sanskar
User avatar
Joined: 05 May 2023
Last visit: 24 Apr 2026
Posts: 212
Own Kudos:
113
 [1]
Given Kudos: 79
Schools: ISB '26
GMAT Focus 1: 605 Q82 V78 DI80
Products:
GMAT Club Tests Forum Quiz
Schools: ISB '26
GMAT Focus 1: 605 Q82 V78 DI80
Posts: 212
Kudos: 113
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 25 Dec 2025, 15:04
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Gift
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more


A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Show more
21/34 of family pass and 1/3rd of individual passes used fewer than 6 times

for ease of calculation I'm taking multiple of 34 which is 170 which are total family passes

so if 170 is 40% of passes then 40*x /100 =170 ; x = 425; 60 % of X= 255 --- > total number of individual passes

21/34 * 170 =105 and 1/3 * 255 =85

and remember 425 is 85 percent of total passes so 100 percent is

85/100 * y = 425; y = 500

Therefore

A : 105/500 =0.21 and B : 85/500 =0.17

So our answer is 21 and 17
User avatar
rianaamy
User avatar
Joined: 18 Aug 2016
Last visit: 24 Apr 2026
Posts: 52
Own Kudos:
32
 [1]
Given Kudos: 20
Location: Bangladesh
Posts: 52
Kudos: 32
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 25 Dec 2025, 18:20
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Say total pass 100, 15 not activated and 85 activated

Family pass 0.4 ×85=34 and Individual pass 0.6×85=51

21/34 of 34 family pass used fewer times=21
And same way 1/3 of 51 Individual passes used less=17

Answer A=21% B=17%
User avatar
Xdsa
User avatar
Joined: 07 Jul 2025
Last visit: 24 Apr 2026
Posts: 57
Own Kudos:
45
 [1]
Given Kudos: 1
Posts: 57
Kudos: 45
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 25 Dec 2025, 23:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
assume
annual pass=1000
not activated=150
activated =850

of the activated 340 are family pass and 510 are individual pass
of the family pass 210 are used less than 6 times
of the individual pass 170 are used less than 6 times
so the % of family and individual pass used less than 6 times of the issued is 21 and 17%
User avatar
asperioresfacere
User avatar
Joined: 03 Nov 2025
Last visit: 24 Apr 2026
Posts: 61
Own Kudos:
53
 [1]
Given Kudos: 106
Posts: 61
Kudos: 53
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 00:09
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Assuming the total number of annual passes issued is 100

Activation Status : 15% were never activated , meaning 85% were activated .

Pass type (Of Activated passes)
Family passes : 40% of 85 = 34 passes.
Individual Passes : 60% of 85 = 51 passes.

Value for A (Family passes)
To Find the percentage of all passes issued that are Family passes and fewer than 6 times.
calculation= 21/34 x 34 = 21

Value for B ( Individual passes)
1/3 x 51 = 17
A: 21
B: 17
User avatar
thuckhang
User avatar
Joined: 29 Apr 2025
Last visit: 18 Mar 2026
Posts: 22
Own Kudos:
19
 [1]
Given Kudos: 19
Posts: 22
Kudos: 19
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 01:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Smart number: 100 people in total
15 ppl: not activated
85 ppl: activated
- family: 85*0.4=34 ppl => 21 ppl used less than 6 times a month
- inidividual: 85*0.6=51 ppl => 17 ppl used less than 6 times a month
=> A=% family: 21%, B=%inidvidual: 17%
User avatar
gchandana
User avatar
Joined: 16 May 2024
Last visit: 24 Apr 2026
Posts: 193
Own Kudos:
142
 [1]
Given Kudos: 170
Location: India
Products:
GMAT Club Tests Forum Quiz
Posts: 193
Kudos: 142
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 01:05
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A = \(\frac{85}{100}*\frac{40}{100}*\frac{21}{34}*100\) = 21
Of 85% of activated passes, 40% were family passes; of these 40%, 21/34 were passes that were used less than 6 times.

B = \(\frac{85}{100}*\frac{60}{100}*[farction]1/3[/farction]*100\) = 17
Of 85% of activated passes, 60% were individual passes; of these 60%, 1/3 were passes that were used less than 6 times.

A = 21, B = 17
Bunuel
Gift
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more


A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Show more
User avatar
arnab24
User avatar
Joined: 16 Jan 2024
Last visit: 25 Feb 2026
Posts: 96
Own Kudos:
81
 [1]
Given Kudos: 7
Location: India
Schools: ISB '26
GPA: 8.80
Products:
Forum Quiz
Schools: ISB '26
Posts: 96
Kudos: 81
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 01:29
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let x be the no. of passes issued. If 15% are not activated passes , 85% are activated passes. So , no of activated passes = 0.85x
No. of family passes = 0.4*0.85x
No of Individual passes = 0.6*0.85x
No of family passes used fewer than 6 times a month = (21/34)*0.4*0.85x = 0.21x
No of Individual passes used fewer than 6 times a month = (1/3)*0.6*0.85x = 0.17x

So A = 21% , B=17%.
Bunuel
Gift
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more


A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Show more
User avatar
harishg
User avatar
Joined: 18 Dec 2018
Last visit: 09 Apr 2026
Posts: 176
Own Kudos:
174
 [1]
Given Kudos: 31
GMAT Focus 1: 695 Q88 V84 DI81
Products:
My Reviews
GMAT Focus 1: 695 Q88 V84 DI81
Posts: 176
Kudos: 174
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 01:39
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We can assume the total passes to be 100. From the given problem, 85 of them were activated. Of these, 34 were family passes and 51 Individual passes.

Again, 21/34*34 =21 family passes were used less than 6 times and

1/3*51=17 individual passes were used less than 6 times.

Therefore, A = 21 and B = 17
User avatar
truedelulu
User avatar
Joined: 01 Sep 2025
Last visit: 24 Jan 2026
Posts: 81
Own Kudos:
70
 [1]
Given Kudos: 16
Products:
Forum Quiz
Posts: 81
Kudos: 70
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 03:20
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total passes = a:
- 0.15a not activated
- 0.85a activated, including
+ 0.4*0.85a Family, which 0.4*0.85a*21/34 = 0.21a used fewer than 6 times during the month => 21%
+ 0.6*0.85a Individual, which 0.6*0.85a*1/3 = 0.17a used fewer than 6 times during the month => 17%
Bunuel
Gift
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more


A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Show more
User avatar
joydipb01
User avatar
Joined: 30 Oct 2023
Last visit: 24 Apr 2026
Posts: 16
Own Kudos:
22
 [1]
Given Kudos: 1
GMAT 1: 700 Q49 V36
GMAT 1: 700 Q49 V36
Posts: 16
Kudos: 22
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 03:21
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Gift
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more


A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Show more
Let the total number of passes issued be N

Total activated passes = 85 * N / 100

Total Family passes = 0.4 * 85 * N / 100 = 34 * N / 100

Total Individual passes = (85 - 34) * N / 100 = 51 * N / 100

Total Family passes used fewer than 6 times = 21 * 34 * N / 100 * 34 = 21 * N / 100
From here we get A = 21

Total Individual passes used fewer than 6 times = 51 * N / 100 * 3 = 17 * N / 100
From here we get B = 17
User avatar
kapoora10
User avatar
Joined: 13 Jul 2024
Last visit: 12 Apr 2026
Posts: 109
Own Kudos:
95
 [1]
Given Kudos: 7
Location: India
Concentration: Real Estate, Sustainability
GMAT Focus 1: 645 Q88 V74 DI84
GMAT Focus 2: 655 Q85 V83 DI80
GPA: 8.03
WE:Corporate Finance (Finance: Investment Management)
Products:
Forum Quiz
GMAT Focus 2: 655 Q85 V83 DI80
Posts: 109
Kudos: 95
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 03:51
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let museum issue 100 passes, 15% activated, 85% not activated.

=> Family passes => 40% of 85 => 34
=> individual passes => 60% of 85 => 51
=> family passes used fewer than 6 times => 21/34y*34 = 21 => A= 21%
=> individual passes used fewer than 6 times = 1/3*51 = 17 => B=17%
User avatar
remdelectus
User avatar
Joined: 01 Sep 2025
Last visit: 24 Apr 2026
Posts: 58
Own Kudos:
48
 [1]
Given Kudos: 3
Posts: 58
Kudos: 48
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 04:18
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total passes issued=T
1-0.15=0.85 (85%)
activated 40% r family, 60% r individuals
family passes 0.85X0.40=0.34
individual passes 0.85X0.60=0.51
A=0.34X(21/34)X100=21
B=0.54X(1/3)100=17
User avatar
Rahilgaur
User avatar
Joined: 24 Jun 2024
Last visit: 26 Jan 2026
Posts: 162
Own Kudos:
125
 [1]
Given Kudos: 47
GMAT Focus 1: 575 Q81 V82 DI72
Products:
My Reviews
GMAT Focus 1: 575 Q81 V82 DI72
Posts: 162
Kudos: 125
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 04:42
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Select for A and for B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.

---Let's consider Museum issues 100x passes

Activated passes = 85x
Family Passes = .40*85x = 34x
Individual Passes = 0.60 * 85x = 51x

Activated Passes used fewer than 6 times during the month = (21/34)*34x+ (1/3)*51x = 21x+17x = 38x

A = 21x/100x = 21%
B = 17x/100x = 17%
User avatar
Reon
User avatar
Joined: 16 Sep 2025
Last visit: 28 Mar 2026
Posts: 134
Own Kudos:
121
 [1]
Given Kudos: 4
Posts: 134
Kudos: 121
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 05:30
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.

Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.

Let, total number of passes issued= 100
15% of passes were never activated, hence, 85% of passes were activated.
Number of family passes= 40% of 85 = 0.40*85= 34
Number of individual passes= 60% of 85= 0.60*85= 51

Number of family passes that were used fewer than 6 times = (21/34)*34= 21
Number of individual passes that were used fewer than 6 times = (1/3)*51= 17

A=21
B=17
User avatar
forestmayank
User avatar
Joined: 05 Nov 2025
Last visit: 31 Mar 2026
Posts: 103
Own Kudos:
87
 [1]
Given Kudos: 6
Posts: 103
Kudos: 87
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 05:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Activated passes = 85%

A. 40% are family passes = 40% of 85
Of this, 21/34 used it less than 6 times = (40/100) x 85 x (21/34)
= 21%

B. 60% are individual passes = 60% of 85 = 51
Of this, 1/3 were used less than 6 times = 51 x 1/3 = 17%
User avatar
Mardee
User avatar
Joined: 22 Nov 2022
Last visit: 02 Feb 2026
Posts: 225
Own Kudos:
191
 [1]
Given Kudos: 20
Posts: 225
Kudos: 191
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 06:37
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the total number of passes be x

We know that,
15% of the passes never activated = 0.15x
85% of the passes were activated = 0.85x

From the activated passes,
40% is family = 0.4*0.85x = 0.34x
60% is individual = 0.6*0.85x = 0.51x

Now among these activated passes, some of them were used fewer than 6 times in a month
21/34 of the family passes used lesser than 6 times = 0.34x * (21/34) = 0.21x = 21% of the total passes
1/3rd of the individual passes used lesser than 6 times = 0.51x * (1/3) = 0.17x = 17% of the total passes


A. 21
B. 17
User avatar
linnet
User avatar
Joined: 11 Dec 2025
Last visit: 22 Jan 2026
Posts: 81
Own Kudos:
42
 [1]
Given Kudos: 1
Posts: 81
Kudos: 42
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 06:46
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Assume total passes is 100; 15% never activates to 100 -15= 85% activated
Family pass: 40% of 85= 34
Individual pass: 60% of 85= 51
Fewer than 6 times: Family pass= 21/34 x 34=21
Fewer than 6 times: individual pass= 1/3 x 51= 17
So ; A =21
B = 17
User avatar
redandme21
User avatar
Joined: 14 Dec 2025
Last visit: 05 Jan 2026
Posts: 97
Own Kudos:
87
 [1]
Posts: 97
Kudos: 87
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 07:03
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
P = number of annual passes

0.15P never activated -> 0.85P activated

Family passes = 0.4*0.85P
Individual passes = 0.6*0.85P

Family passes used fewer than 6 times = 21/34 * 0.4*0.85P = 0.21P -> 21%
Individual passes used fewer than 6 times = 1/3 * 0.6*0.85P = 0.17P -> 17%

A=21
B=17
User avatar
Prakruti_Patil
User avatar
Joined: 24 May 2023
Last visit: 24 Apr 2026
Posts: 126
Own Kudos:
37
 [1]
Given Kudos: 391
Products:
GMAT Club Tests
Posts: 126
Kudos: 37
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 07:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
15% are not activated therefore, total active = 85 %

Consider total passes 100, since % is asked
Family passes = 40% of 85
Individual passes = 60% of 85

of these, the passes used fewer then 6 times for family = 85 X 40/100 X 21/34 = 21
for individuals = 85 X 60/100 X 1/3 = 17
User avatar
dolortempore
User avatar
Joined: 15 Aug 2025
Last visit: 22 Jan 2026
Posts: 47
Own Kudos:
44
 [1]
Given Kudos: 9
Posts: 47
Kudos: 44
 [1]
12 Days of Christmas GMAT Competition 2025 - Day 9: A museum issued a 26 Dec 2025, 07:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
assume total pass issued as X

FP = 0.85 * 40/100 = 0.34X
IP = 0.85 * 60/100 = 0.51X

Now less than 6 pass/months used =
FP less than 6 month = 0.34X * 21/34 = 0.21X
IP less than 6 month = 0.51X *1/3 = 0.17X

Therefore the percentage for

FP less than 6 month/total pass issue = 0.21X * 100/X = 21%
IP less than 6 month/total pass issue = 0.17X/X * 100 = 17%

Hence A = 21
B =17
   1   2   3   
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts