Last visit was: 29 May 2024, 01:19 It is currently 29 May 2024, 01:19
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93522
Own Kudos [?]: 627503 [0]
Given Kudos: 81989
Send PM
Intern
Intern
Joined: 22 May 2022
Posts: 31
Own Kudos [?]: 17 [1]
Given Kudos: 64
Location: India
GPA: 2.3
Send PM
Manager
Manager
Joined: 05 Nov 2014
Posts: 231
Own Kudos [?]: 222 [0]
Given Kudos: 12
Location: India
Concentration: Operations, Leadership
GPA: 3.99
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 93522
Own Kudos [?]: 627503 [0]
Given Kudos: 81989
Send PM
Re: How many positive integers less than 100 have the remainder of 2 when [#permalink]
Expert Reply
abhinavchitre13 wrote:
The numbers are 2, 15, 28, 54, 67, 80 and 93. So 7 numbers.

Ans. B

Posted from my mobile device


Good that you didn't miss 2. Many students would have started with 15. But you are missing 41. So. the answer is 8 (C).
Math Expert
Joined: 02 Sep 2009
Posts: 93522
Own Kudos [?]: 627503 [0]
Given Kudos: 81989
Send PM
Re: How many positive integers less than 100 have the remainder of 2 when [#permalink]
Expert Reply
rajtare wrote:
Bunuel wrote:
How many positive integers less than 100 have the remainder of 2 when divided by 13?

A. 6
B. 7
C. 8
D. 9
E. 13




This can be solved by forming the simple linear equation
such as 13x+2 =100
so x = 7


0 < 13x+2 < 100

-2 < 13x < 98

≈0.15 < x < ≈ 7.5

So, x, the quotient, can be 0, 1, 2, 3, 4, 5, 6, or 7. Total of 8 values. So, C.
GMAT Club Bot
Re: How many positive integers less than 100 have the remainder of 2 when [#permalink]
Moderator:
Math Expert
93502 posts