Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58442

The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
Show Tags
12 Dec 2016, 12:32
Question Stats:
59% (01:20) correct 41% (01:09) wrong based on 133 sessions
HideShow timer Statistics
The product of three distinct integers, a, b, and c, is 252. If each of the integers is greater than 1, what is the greatest possible value of the any of the three integers? A. 126 B. 84 C. 63 D. 42 E. 28
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Senior Manager
Joined: 13 Oct 2016
Posts: 359
GPA: 3.98

Re: The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
Show Tags
12 Dec 2016, 14:05
Let’s maximize one of the integers a, b ,c. They should be positive, greater than 1 and distinct.
\(252 = 2^2*3^2*7\)
We’ll choose min values for a and b as 2 and 3 and all rest factors will go to c.
\(2*3*42\)
Using same procedure we can maximize a and b.
Hence answer D.
I hope I'm not too drowsy



VP
Joined: 07 Dec 2014
Posts: 1222

The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
Show Tags
Updated on: 01 Feb 2019, 13:03
Bunuel wrote: The product of three distinct integers, a, b, and c, is 252. If each of the integers is greater than 1, what is the greatest possible value of the any of the three integers?
A. 126 B. 84 C. 63 D. 42 E. 28 2 and 3 are the least possible two factors of 252 252/(2*3)=greatest possible third factor of 252=42 D
Originally posted by gracie on 12 Dec 2016, 15:19.
Last edited by gracie on 01 Feb 2019, 13:03, edited 1 time in total.



VP
Joined: 23 Feb 2015
Posts: 1257

The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
Show Tags
12 Dec 2016, 17:30
Bunuel wrote: The product of three distinct integers, a, b, and c, is 252. If each of the integers is greater than 1, what is the greatest possible value of the any of the three integers?
A. 126 B. 84 C. 63 D. 42 E. 28 The question says that abc=252 As the integer is greater than 1, we can surely take the first integer as 2,which is the lowest one. To find out the greatest possible value i have to choose or find out as lowest as possible. 252 is even so i can take the 2 as the lowest value. So, the remaining value will be 126. Now i have to find out the second lowest possible value from 126. I can not take it as 2 because the integer must be distinctive to each other. So, i can take it as 3 because 3 is the factor of 126 (the summation of 126 separately is 9, which is divisible by 3), so the highest possible value is exactly 42, which is D. Thank you... Sent from my iPhone using GMAT Club Forum mobile app
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”― Henry Wadsworth LongfellowDo you need official questions for Quant?3700 Unique Official GMAT Quant Questions SEARCH FOR ALL TAGSGMAT Club Tests



Director
Joined: 09 Mar 2018
Posts: 994
Location: India

Re: The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
Show Tags
01 Feb 2019, 10:43
Bunuel wrote: The product of three distinct integers, a, b, and c, is 252. If each of the integers is greater than 1, what is the greatest possible value of the any of the three integers?
A. 126 B. 84 C. 63 D. 42 E. 28 So 252 can be written as out of which the greatest possible value of the any of the three integers will be 42 * 3 * 2 2252 2126 363 321 77 1 D
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to. Many of life's failures happen with people who do not realize how close they were to success when they gave up.




Re: The product of three distinct integers, a, b, and c, is 252. If each
[#permalink]
01 Feb 2019, 10:43






