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.
The number 3 divides a with a result of b and a remainder of
[#permalink]
21 Apr 2018, 03:24
21 Apr 2018, 03:24
Expert Reply
1
Bookmarks
00:00
Question Stats:
88% (00:56) correct
11% (01:49) wrong based on 35 sessions
Hide Show timer Statistics
The number 3 divides a with a result of b and a remainder of 2. The number 3 divides b with a result of 2 and a remainder of 1. What is the value of a ?
(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
Re: The number 3 divides a with a result of b and a remainder of
[#permalink]
25 Apr 2018, 02:10
25 Apr 2018, 02:10
1
Formulate the given information into a eqn
\(3b + 2 = a\)
\(3*2 +1 = b\)
so, \(b = 7\)
replace \(b\) in the 1st eqn to get \(21 +2 = a\)
or, \(a = 23\)
option D
\(3b + 2 = a\)
\(3*2 +1 = b\)
so, \(b = 7\)
replace \(b\) in the 1st eqn to get \(21 +2 = a\)
or, \(a = 23\)
option D
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
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: The number 3 divides a with a result of b and a remainder of
[#permalink]
04 Jan 2022, 09:09
04 Jan 2022, 09:09
1
Dividend = Divisor * Quotient + Remainder
The number 3 divides a with a result of b and a remainder of 2
Dividend = a
Divisor = 3
Quotient = b
Remainder = 2
=> Dividend = Divisor * Quotient + Remainder
=> a = 3b + 2 ...(1)
The number 3 divides b with a result of 2 and a remainder of 1
Dividend = b
Divisor = 3
Quotient = 2
Remainder = 1
=> Dividend = Divisor * Quotient + Remainder
=> b = 3*2 + 1 => b = 7 ...(2)
What is the value of a
a = 3b + 2 [From (1)]
=> a = 3*7 + 2 [ From (2) ]
=> a = 21 + 2 = 23
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
The number 3 divides a with a result of b and a remainder of 2
Dividend = a
Divisor = 3
Quotient = b
Remainder = 2
=> Dividend = Divisor * Quotient + Remainder
=> a = 3b + 2 ...(1)
The number 3 divides b with a result of 2 and a remainder of 1
Dividend = b
Divisor = 3
Quotient = 2
Remainder = 1
=> Dividend = Divisor * Quotient + Remainder
=> b = 3*2 + 1 => b = 7 ...(2)
What is the value of a
a = 3b + 2 [From (1)]
=> a = 3*7 + 2 [ From (2) ]
=> a = 21 + 2 = 23
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
