Last visit was: 31 Oct 2024, 16:11 It is currently 31 Oct 2024, 16:11
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
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 31 Oct 2024
Posts: 1,863
Own Kudos:
6,978
 [8]
Given Kudos: 707
Location: India
Posts: 1,863
Kudos: 6,978
 [8]
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
User avatar
LeoN88
User avatar
BSchool Moderator
Joined: 08 Dec 2013
Last visit: 28 Oct 2024
Posts: 685
Own Kudos:
531
 [2]
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Products:
Schools: ISB '23
GMAT 1: 630 Q47 V30
Posts: 685
Kudos: 531
 [2]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
CareerGeek
Joined: 20 Jul 2017
Last visit: 28 Oct 2024
Posts: 1,297
Own Kudos:
3,726
 [3]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
GMAT 1: 690 Q51 V30
Posts: 1,297
Kudos: 3,726
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
vishalthomas
Joined: 13 Mar 2019
Last visit: 04 Sep 2023
Posts: 2
Own Kudos:
3
 [1]
Given Kudos: 20
GMAT 1: 690 Q42 V41
GMAT 1: 690 Q42 V41
Posts: 2
Kudos: 3
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
nick1816
While multiplying four real numbers, John took one of the numbers as 62 instead of 26. As a result, the product went up by 720. Then the minimum possible value of the sum of cubes of the other three numbers is

A. 40
B. 50
C. 60
D. 70
E. 80


Based on the question, we can form the equation 26XYZ+720= 62XYZ , considering X,Y,Z are the the other 3 numbers.

Therefore, the equation reduces to 36XYZ=720 or XYZ=20.

To get the minimum sum of the cubes we assume we assume that X=Y=Z , and in turn, this means X=Y=Z= cube root (20).

Which implies, the minimum sum of the cubes of X,Y & Z is 60.
avatar
hriday17
Joined: 21 Jul 2018
Last visit: 10 May 2021
Posts: 10
Own Kudos:
Given Kudos: 95
Posts: 10
Kudos: 7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nick1816
While multiplying four real numbers, John took one of the numbers as 62 instead of 26. As a result, the product went up by 720. Then the minimum possible value of the sum of cubes of the other three numbers is

A. 40
B. 50
C. 60
D. 70
E. 80


You can take four nos. as a,b,c and 26 and their product will be x
abc26=x
we can rewrite it as abc=x/26 -----------(1)

If digits of 26 are reversed then their product increases by 720-
so we can write that by- abc62=x+720
Now lets put in the value of abc from equation (1) here

x/26 * 62=x+720
x=520
so, abc=20


Now we have to select the real nos., the number will be an integer as the sum of cube of those nos. will be an integer.
There are 2 cases-(not taking + & - ones)
5*2*2 and 5*4*1
To make the answer choice possible 2 digits have to be negative (as if we take all the digits as positive the answer will not match)

Case 1) 5*2*2
Let's take (-5)^3+2^3+(-2)^3=-125, not matching
5^3+(-2)^3+(-2)^3=+125, not matching
so this case is not possible.

Case2) 5*4*1
(-5)^3+4^3+(-1)^3=-62, not matching
5^3+(-4)^3+(-1)^3= 60, This answer is matching the answer choice C
So this is the correct answer.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,330
Own Kudos:
Posts: 35,330
Kudos: 902
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Math Expert
96533 posts