Last visit was: 26 Apr 2026, 15:46 It is currently 26 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
avatar
iampancham21
avatar
Joined: 15 Jan 2023
Last visit: 04 Jun 2024
Posts: 142
Own Kudos:
30
 [2]
Given Kudos: 18
Posts: 142
Kudos: 30
 [2]
In a group of 62 children, more of the children were born on a Friday Updated on: 25 Feb 2023, 01:55
Originally posted by iampancham21 on 25 Feb 2023, 01:52.
Last edited by Bunuel on 25 Feb 2023, 01:55, edited 1 time in total.
Renamed the topic.
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
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:

61% (01:59) correct 39% (01:43) wrong based on 152 sessions

History

Date
Time
Result
Not Attempted Yet
In a group of 62 children, more of the children were born on a Friday than on any other day of the week. What is the least possible number of children in the group who were born on a Friday?

A. 11
B. 10
C. 9
D. 8
E. 7
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,910
Own Kudos:
811,439
 [3]
Given Kudos: 105,897
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: 109,910
Kudos: 811,439
 [3]
In a group of 62 children, more of the children were born on a Friday 25 Feb 2023, 02:23
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
iampancham21
In a group of 62 children, more of the children were born on a Friday than on any other day of the week. What is the least possible number of children in the group who were born on a Friday?

A. 11
B. 10
C. 9
D. 8
E. 7
Show more


We know that more of children were born on a Friday than on any other day of the week. So, if x children were born on a Friday, at most x - 1 children could have been born on any of the other 6 days. To minimize x, we need to maximize the sum of the children born on any of the other 6 days.

Now, if x - 1 children were born on each of the other 6 days and x on Friday, we will have 6(x - 1) + x = 62, which gives x = 9.something. x must be integer, so let's try 9 and 10.

If x = 9, then at most 8 children could have been born on any of the other 6 days, giving the sum of 9 + 6*8 = 57, which is less than 62. So, {8, 8, 8, 8, 8, 8, 9} is not possible.

If x = 10, then at most 9 children could have been born on any of the other 6 days, giving the sum of 10 + 6*9 = 64, which is more than 62 but we if 8 children were born on 2 of the days, then the sum will be exactly 62: {8, 8, 9, 9, 9, 9, 10}.

Answer: B.
General Discussion
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 26 Apr 2026
Posts: 5,987
Own Kudos:
5,860
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,987
Kudos: 5,860
In a group of 62 children, more of the children were born on a Friday 25 Feb 2023, 02:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given: In a group of 62 children, more of the children were born on a Friday than on any other day of the week.

Asked: What is the least possible number of children in the group who were born on a Friday?

If we consider the set of children born on weekdays from Monday to Sunday = {8,8,9,9,9,9,10}
Minimum number of children born on Friday = 10

IMO B
User avatar
HarshaBujji
User avatar
Joined: 29 Jun 2020
Last visit: 24 Apr 2026
Posts: 723
Own Kudos:
907
Given Kudos: 247
Location: India
Products:
My Reviews
Posts: 723
Kudos: 907
In a group of 62 children, more of the children were born on a Friday 27 Feb 2023, 19:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
As there are 7 days,

62 = can be divided into 9 for each day -1 (Best possibility)

But we want Friday to be more than any other day hence 10,9,9,9,9,8,8

IMO B
User avatar
egmat
User avatar
e-GMAT Representative
Joined: 02 Nov 2011
Last visit: 24 Apr 2026
Posts: 5,632
Own Kudos:
33,435
 [1]
Given Kudos: 707
GMAT Date: 08-19-2020
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 5,632
Kudos: 33,435
 [1]
In a group of 62 children, more of the children were born on a Friday 11 Sep 2025, 21:19
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Looking at this problem, I need to find the minimum number of children born on Friday while ensuring Friday still has more births than any other day.

Step 1: Understanding the Constraint

Let \(F\) = number of children born on Friday
For Friday to have "more" children than any other day: \(F > M, F > T, F > W, F > Th, F > S, F > Su\)

Step 2: Strategy to Minimize F

To make \(F\) as small as possible, I need to make the other days have as many children as possible (while still being less than \(F\)).
The maximum any other day can have is \(F-1\) children.

Step 3: Setting Up the Equation
In the most "packed" distribution:

Friday: \(F\) children
Each of the other 6 days: up to \(F-1\) children

Total children: \(F + 6(F-1) \leq 62\)

For the minimum \(F\), we want this to equal 62:
\(F + 6(F-1) = 62\)
\(F + 6F - 6 = 62\)
\(7F = 68\)
\(F = \frac{68}{7} = 9.71...\)

Step 4: Finding the Integer Solution

Since \(F\) must be a whole number: \(F \geq 10\)

Step 5: Verification
Let's verify \(F = 10\) works:

Friday: 10 children
Other 6 days: Can have at most 9 each
Maximum total: \(10 + 6(9) = 64\)

Since \(64 > 62\), we can distribute 62 children with Friday having 10.

Example distribution: Friday = 10, five days with 9 children each, one day with 7 children

Check: \(10 + 5(9) + 7 = 10 + 45 + 7 = 62\) ✓

Let's verify \(F = 9\) doesn't work:

Friday: 9 children
Other 6 days: Can have at most 8 each
Maximum total: \(9 + 6(8) = 57 < 62\)

We can't fit all 62 children with this constraint!

Answer: B. 10

Key Insight: The problem asks for an optimization - minimizing one value while satisfying constraints. The strategy is to push the constraint to its limit by making other days as "full" as possible.
Moderators:
Bunuel
Math Expert
109910 posts
Krunaal
Tuck School Moderator
852 posts