Events & Promotions
|
|
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.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 1408:30 AM PDT
-09:30 AM PDT
Most GMAT test-takers are intimidated by the hardest GMAT Verbal questions. In this session, Target Test Prep GMAT instructor Erika Tyler-John, a 100th percentile GMAT scorer, will show you how top scorers break down challenging Verbal questions..- Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
19 Jun 2018, 23:45
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
50% (01:53) correct
50%
(01:35)
wrong
based on 442
sessions
History
Date
Time
Result
Not Attempted Yet
x is a 4-digit positive integer whose digits are all the integer n. Which of the following must be true?
i. The sum of the digits of x is even.
ii. The product of the digits of x is even.
iii. It is not divisible by 12.
A. i only
B. iii only
C. i and ii only
D. i and iii only
E. ii and iii only
i. The sum of the digits of x is even.
ii. The product of the digits of x is even.
iii. It is not divisible by 12.
A. i only
B. iii only
C. i and ii only
D. i and iii only
E. ii and iii only
19 Jun 2018, 23:55
Kudos
Bookmarks
Bunuel
The 4-digit positive number x = nnnn
i. The sum of digits is 4n. Any number(n) * Even number is always even irrespective
of whether n is odd or even. This statement is always TRUE
ii. The product of digits is n^4.
If n = 1(odd), product = odd | n = 2(even), product = even. Statement is not TRUE.
iii. 12 when prime-factorized gives 2^2 * 3. The number(x) must be divisible by 2 and 3.
Whatever the number, it can never be divisible by 12. This statement is TRUE
Therefore, Option D(i and iii only) must always be TRUE.
20 Jun 2018, 00:06
Kudos
Bookmarks
Bunuel
If i understand the question correctly then we have a 4 digit number whose digits are all same & are equal to integer n.
Hence x = 1000n + 100n + 10n + n
& n = 1,2,3....9
i. The sum of the digits of x is even.
if n - odd/even, then we have sum of digits of x = 4n = even
hence this is true
ii. The product of the digits of x is even.
if n - odd, product of digits of x = n^4 = odd^4 = odd
if n - even, product of digits of x = n^4 = even^4 = even
Hence this can't be proved true.
iii. It is not divisible by 12.
x is not divisible by 12 = 3 * 2^2
x = 1000n + 100n + 10n + n = 1111n = (11 * 101)n
for x to be divisible by 12, n has to be a multiple of 12, which is not possible as integer n = 1,2...9
Hence n is not divisible by 12, statement (iii) is true.
Answer D.
Thanks,
GyM
