GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
When positive integer k is divided by 35, the remainder is 14. Which o
[#permalink]
09 Jul 2021, 08:44
09 Jul 2021, 08:44
Expert Reply
00:00
Question Stats:
94% (00:50) correct
5% (01:36) wrong based on 17 sessions
Hide Show timer Statistics
When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?
A. 5
B. 7
C. 11
D. 14
E. 21
A. 5
B. 7
C. 11
D. 14
E. 21
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: When positive integer k is divided by 35, the remainder is 14. Which o
[#permalink]
09 Jul 2021, 08:52
09 Jul 2021, 08:52
1
Carcass wrote:
When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?
A. 5
B. 7
C. 11
D. 14
E. 21
A. 5
B. 7
C. 11
D. 14
E. 21
When it comes to remainders, we have a nice rule that says:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
When positive integer k is divided by 35, the remainder is 14.
So, some possible values of k are: 14, 49, 84, 119, . . . etc
Let's test some values.
If k = 14, then we can ELIMINATE A, C and E, since they are not divisors of 14, and the questions says "Which of the following MUST be a divisor of k?
We're left with answer choices B and D
Let's test another value.
If k = 49, then we can ELIMINATE D, since 14 is not a divisor of 49.
By the process of elimination, we're left with B
Answer: B
Cheers,
Brent
RELATED VIDEO
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: When positive integer k is divided by 35, the remainder is 14. Which o
[#permalink]
10 Jan 2022, 10:32
10 Jan 2022, 10:32
1
When positive integer k is divided by 35, the remainder is 14
Theory: Dividend = Divisor*Quotient + Remainder
k -> Dividend
35 -> Divisor
a -> Quotient (Assume)
14 -> Remainders
=> k = 35*a + 14 = 7*5a + 7*2 = 7*(5a + 2)
=> k when divided by 7 gives 5a+2 as quotient and 0 as remainder
=> k is divisible by 7
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
Theory: Dividend = Divisor*Quotient + Remainder
k -> Dividend
35 -> Divisor
a -> Quotient (Assume)
14 -> Remainders
=> k = 35*a + 14 = 7*5a + 7*2 = 7*(5a + 2)
=> k when divided by 7 gives 5a+2 as quotient and 0 as remainder
=> k is divisible by 7
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
