|
|
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.
16 Sep 2014, 01:16
Kudos
Bookmarks
If \(@\) represents the tens digit in the integer \(a = 1543@2\), what is the value of \(@\)?
(1) \(a\) is divisible by 9
(2) \(a\) is divisible by 4
(1) \(a\) is divisible by 9
(2) \(a\) is divisible by 4
16 Sep 2014, 01:16
Kudos
Bookmarks
Official Solution:
If \(@\) represents the tens digit in the integer \(a = 1543@2\), what is the value of \(@\)?
(1) \(a\) is divisible by 9.
For an integer to be divisible by 9, the sum of its digits must be divisible by 9. Therefore, \(1+5+4+3+@+2 = 15+@\) must be divisible by 9. Since \(@\) is a single digit, it can only be 3. Sufficient.
(2) \(a\) is divisible by 4.
For an integer to be divisible by 4, its last two digits must be divisible by 4. This means \(@2\) must be divisible by 4. Possible values for \(@\) are 1, 3, 5, 7, or 9. Not sufficient.
Answer: A
If \(@\) represents the tens digit in the integer \(a = 1543@2\), what is the value of \(@\)?
(1) \(a\) is divisible by 9.
For an integer to be divisible by 9, the sum of its digits must be divisible by 9. Therefore, \(1+5+4+3+@+2 = 15+@\) must be divisible by 9. Since \(@\) is a single digit, it can only be 3. Sufficient.
(2) \(a\) is divisible by 4.
For an integer to be divisible by 4, its last two digits must be divisible by 4. This means \(@2\) must be divisible by 4. Possible values for \(@\) are 1, 3, 5, 7, or 9. Not sufficient.
Answer: A
20 Oct 2023, 01:14
Kudos
Bookmarks
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
