|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
08 Feb 2022, 05:51
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (02:23) correct
37%
(02:20)
wrong
based on 216
sessions
History
Date
Time
Result
Not Attempted Yet
If the ten-digit integer \(a,390,484,58b\) is divisible by both 8 and 11, what is the value of ordered pair (a, b)?
(A) (8, 6)
(B) (7, 6)
(C) (6, 4)
(D) (5, 4)
(E) (4, 4)
Are You Up For the Challenge: 700 Level Questions
(A) (8, 6)
(B) (7, 6)
(C) (6, 4)
(D) (5, 4)
(E) (4, 4)
Are You Up For the Challenge: 700 Level Questions
What is the value of M and N respectively? If M39048458N is divisible by 8 and 11; Where M and N are single digit integers?
(1) 7, 8
(2) 8, 6
(3) 6, 4
(4) 5, 4
(1) 7, 8
(2) 8, 6
(3) 6, 4
(4) 5, 4
Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 724
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
Products:
08 Feb 2022, 12:49
Kudos
Bookmarks
Divisibility test by 8
Last 3 digits of the number must be divisible by 8
58b must be divisible by 8
560 is divisible by 8, add 24
584 is divisible by 8
Therefore, b=4
Divisibility test by 11
Let sum of odd placed digits = X
Let sum of even placed digits = Y
|X-Y| must be = 0 or 11n
X = 8+4+4+9+a = 25+a
Y = b+5+8+0+3 = 16+b = 20
|X-Y| = |25+a-20| = |5+a|
Since a can only be between [0, 9]
Only possible value of a is 6
Therefore, option C (6, 4)
Posted from my mobile device
Last 3 digits of the number must be divisible by 8
58b must be divisible by 8
560 is divisible by 8, add 24
584 is divisible by 8
Therefore, b=4
Divisibility test by 11
Let sum of odd placed digits = X
Let sum of even placed digits = Y
|X-Y| must be = 0 or 11n
X = 8+4+4+9+a = 25+a
Y = b+5+8+0+3 = 16+b = 20
|X-Y| = |25+a-20| = |5+a|
Since a can only be between [0, 9]
Only possible value of a is 6
Therefore, option C (6, 4)
Posted from my mobile device
19 Dec 2023, 02:41
Kudos
Bookmarks
[quote="Bunuel"]If the ten-digit integer \(a,390,484,58b\) is divisible by both 8 and 11, what is the value of ordered pair (a, b)?
(A) (8, 6)
(B) (7, 6)
(C) (6, 4)
(D) (5, 4)
(E) (4, 4)
divisibility rule of 8 last 3 digits must be divisible by 8: hence 58b must be 584, b = 4
divisiblity rule of 11, even digits - odd digits = 0 / 11
hence a + 9 + 4 + 4 + 8 = 25, 3 + 0 + 8 + 5 + 4 = 20
a = 6 since 31 - 20 = 11 will make this divisible by 11
(A) (8, 6)
(B) (7, 6)
(C) (6, 4)
(D) (5, 4)
(E) (4, 4)
divisibility rule of 8 last 3 digits must be divisible by 8: hence 58b must be 584, b = 4
divisiblity rule of 11, even digits - odd digits = 0 / 11
hence a + 9 + 4 + 4 + 8 = 25, 3 + 0 + 8 + 5 + 4 = 20
a = 6 since 31 - 20 = 11 will make this divisible by 11
