A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, with 17 balls per box. If 94 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
A. 0
B. 1
C. 2
D. 3
E. 4
OA is B
I just want to know if my reasoning is correct or not
Case 1: 25*3 = 75
94 - 75 = 19 balls left
These 19 ball can be put in a small box of 17, so 2 balls are left
Case 2: 17*4 = 68
95 - 68 = 26 balls left
These 26 balls can now be put in a big box of 25, so 1 ball is left
Now the question asks what is the least no. of balls that can be left unboxed. So, it is 1 ball as in case 2.
Please let me know if my reasoning is correct
Thanks & Regards
Sachin
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
A factory producing tennis balls stores them in either big b
This topic has expert replies
-
sachin_yadav
- Master | Next Rank: 500 Posts
- Posts: 212
- Joined: Mon Dec 06, 2010 12:52 am
- Location: India
- Thanked: 5 times
- Followed by:1 members
Last edited by sachin_yadav on Sat Feb 06, 2016 12:19 pm, edited 1 time in total.
Never surrender
-
MartyMurray
- Legendary Member
- Posts: 2131
- Joined: Mon Feb 03, 2014 9:26 am
- Location: https://martymurraycoaching.com/
- Thanked: 955 times
- Followed by:140 members
- GMAT Score:800
What you did looks good to me.
I went through and tested the other cases, 0 x 25 and 2 x 25, just to be sure.
Maybe you did too.
I went through and tested the other cases, 0 x 25 and 2 x 25, just to be sure.
Maybe you did too.
Marty Murray
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.
GMAT/MBA Expert
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi sachin_yadav,
Your approach to this question is perfect. This question essentially comes down to brute force - since the numbers involved are rather specific and the total number of balls is relatively small, you really just have to do enough work to test the following options:
No 25-ball boxes
1 25-ball box
2 25-ball boxes
3 25-ball boxes
One of those options will produce the result that the question is asking for.
GMAT assassins aren't born, they're made,
Rich
Your approach to this question is perfect. This question essentially comes down to brute force - since the numbers involved are rather specific and the total number of balls is relatively small, you really just have to do enough work to test the following options:
No 25-ball boxes
1 25-ball box
2 25-ball boxes
3 25-ball boxes
One of those options will produce the result that the question is asking for.
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
-
ceilidh.erickson
- GMAT Instructor
- Posts: 2095
- Joined: Tue Dec 04, 2012 3:22 pm
- Thanked: 1443 times
- Followed by:247 members
Your solution is the best - in fact, the only - solution to employ in a case like this. Whenever you are given a word problem with INTEGER CONSTRAINTS (in this case, we can't have half a ball) and it's asking you about possible combinations, your only option is to test out the numbers.
My recommendation is to use a chart to keep things organized:
The methodology is the same, though.
My recommendation is to use a chart to keep things organized:
The methodology is the same, though.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
-
sachin_yadav
- Master | Next Rank: 500 Posts
- Posts: 212
- Joined: Mon Dec 06, 2010 12:52 am
- Location: India
- Thanked: 5 times
- Followed by:1 members
