BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If the area of a number is defined as the difference between

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Fri Nov 29, 2019 6:37 am
BTGmoderatorLU wrote:Source: Princeton Review

If the area of a number is defined as the difference between that number's greatest and least prime factors, what is the area of 100?

A. 0
B. 2
C. 3
D. 5
E. 9

The OA is C
This question begs us to find the prime factorization of 100
100 = (2)(2)(5)(5)
So, 5 is the GREATEST prime factor of 100
And 2 is the LEAST prime factor of 100

Area of a number = (the number's GREATEST prime factor) - (the number's LEAST prime factor)
Area of 100 = 5 - 2
= 3
Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sun Dec 08, 2019 7:40 pm
BTGmoderatorLU wrote:Source: Princeton Review

If the area of a number is defined as the difference between that number's greatest and least prime factors, what is the area of 100?

A. 0
B. 2
C. 3
D. 5
E. 9

The OA is C
The greatest prime factor of 100 is 5, and the least is 2. Thus, the area of 100 is 5 - 2 = 3.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top

GMAT/MBA Expert

User avatar
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

by [email protected] » Mon Dec 09, 2019 3:26 pm
Hi All,

We're told that the "area" of a number is defined as the DIFFERENCE between that number's greatest and least PRIME factors. We're asked for the "area" of 100. This is an example of a Symbolism question (although there is no physical symbol given here); in these types of prompts, a "made-up" Symbol (or meaning) is created, we're explained how the Symbol "works" and then we're asked to perform some calculation with the Symbol. These prompts usually involve basic Arithmetic or Algebra, so they're usually not too difficult. This prompt involves Prime Factorization - which is really just division.

100 = (10)(10) = (2)(5)(2)(5)

Thus, the largest prime factor of 100 is 5 and the smallest prime factor is 2. The difference is 5 - 2 = 3

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Post new topic Post Reply
• Page 1 of 1