Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Numbers

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 20
Joined: Sun Oct 25, 2015 3:23 am
by rajan_agarwal » Mon Dec 07, 2015 3:08 am
Q. A number when divided by a divisor, the remainder is 25. When 3 times the number is divided by the same divisor, the remainder is 4. Find the divisor.
Top
Join the discussion
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 2135
Joined: Mon Feb 03, 2014 9:26 amFollowed by: 140 members
Location: https://martymurraycoaching.com/
Thanked: 955 times
GMAT Score:800

by MartyMurray » Mon Dec 07, 2015 3:30 am
rajan_agarwal wrote:Q. A number when divided by a divisor, the remainder is 25. When 3 times the number is divided by the same divisor, the remainder is 4. Find the divisor.
If the remainder of x/y is 25, then x = ky + 25. So 3x = 3ky + 75.

We know that 3ky is divisible by y, so the remainder of 75/y = 4. So 71 is a multiple of y.

71 is prime. So y = 71.

Rajan, including the answer choices would be helpful.
Marty Murray
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16206
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Mon Dec 07, 2015 8:58 am
rajan_agarwal wrote:Q. A number when divided by a divisor, the remainder is 25. When 3 times the number is divided by the same divisor, the remainder is 4. Find the divisor.
Another approach:

A number when divided by a divisor, the remainder is 25
So, it's possible that the number is 25 and the divisor is GREATER THAN 25
For example, 25 divided by 26 = 0 with remainder 25
Likewise, 25 divided by 58 = 0 with remainder 25
And so on.

When 3 times the number is divided by the same divisor, the remainder is 4
3 times 25 is 75
So, when 75 is divided by the same divisor, the remainder is 4
What is the divisor?
The divisor is 71
That is, 75 divided by 71 = 1 with remainder 4
Also, 25 divided by 71 = 0 with remainder 25

Perfect!

Answer: 71

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