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.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
14 Sep 2019, 20:53
Kudos
Bookmarks
C
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:
51% (02:08) correct
49%
(01:44)
wrong
based on 89
sessions
History
Date
Time
Result
Not Attempted Yet
Is xy divisible by 3, if xy is a 2-digit number, where x and y are single digits?
(1) x*y is divisible by 3.
(2) x is not divisible by 3.
(1) x*y is divisible by 3.
(2) x is not divisible by 3.
14 Sep 2019, 21:10
Kudos
Bookmarks
Is xy divisible by 3, if xy is a 2-digit number, where x and y are single digits?
(1) x*y is divisible by 3.
(2) x is not divisible by 3.
If the sum of digits is a multiple of 3 then the number is divisible by 3.
Hence we need to identify is x + y a multiple of 3.
(1) x*y is divisible by 3
If the number is 13, it is not divisible by 3 and satisfies the condition mentioned in statement 1
If the number is 33, it is divisible by 3 and satisfies the condition mentioned in statement 1
Hence not sufficient.
(2) x is not divisible by 3,
Which means first number cant be a multiple of 3.
Hence we can take a example of,
12, which is divisible by 3 and
13, which is not divisible by 3
Again not sufficient.
If we combine both of them,
x*y is divisible by 3 and x is not a multiple of 3,
that means y has to multiple of 3
And x is not divisible by 3
So we can look at the examples..
13,16,19
23,26,29
that is the sum will not be a multiple of 3 as we add two numbers one a 3's multiple and the other isn't, it will not be a multiple of 3,(sum of the numbers has to be multiple of 3 for the number to be divisible by 3), hence the number is not a multiple of 3
So we can answer the question after combining them, that xy is not a multiple of 3.
Posted from my mobile device
(1) x*y is divisible by 3.
(2) x is not divisible by 3.
If the sum of digits is a multiple of 3 then the number is divisible by 3.
Hence we need to identify is x + y a multiple of 3.
(1) x*y is divisible by 3
If the number is 13, it is not divisible by 3 and satisfies the condition mentioned in statement 1
If the number is 33, it is divisible by 3 and satisfies the condition mentioned in statement 1
Hence not sufficient.
(2) x is not divisible by 3,
Which means first number cant be a multiple of 3.
Hence we can take a example of,
12, which is divisible by 3 and
13, which is not divisible by 3
Again not sufficient.
If we combine both of them,
x*y is divisible by 3 and x is not a multiple of 3,
that means y has to multiple of 3
And x is not divisible by 3
So we can look at the examples..
13,16,19
23,26,29
that is the sum will not be a multiple of 3 as we add two numbers one a 3's multiple and the other isn't, it will not be a multiple of 3,(sum of the numbers has to be multiple of 3 for the number to be divisible by 3), hence the number is not a multiple of 3
So we can answer the question after combining them, that xy is not a multiple of 3.
Posted from my mobile device
14 Sep 2019, 23:33
Kudos
Bookmarks
chetan2u
Here xy is represented as 10x + y. xy = 3*k ? where k > 0(integer value)
(1) x*y is divisible by 3.
Means that either of x and y are divisible by 3 or both x and y are divisible by 3.
Case 1 - Only x is divisible by 3.
Eg. 31 is not divisible by 3. NO
Case 2 - Only y is divisible by 3
Eg. 13 is not divisible by 3. NO
Case 3 - Both x and y are divisible by 3.
Eg. 33, 66 and 99 all are divisible by 3. YES
INSUFFICIENT.
(2) x is not divisible by 3.
Case 1 - y is also not divisible by 3.
Eg. 22 is not divisible by 3 (NO)
& but 15 is divisible by 3 (YES)
Case 2 - y is divisible by 3.
Eg. 26 is not divisible by 3 (NO)
INSUFFICIENT.
Together 1) and 2) gives x*y divisible of 3 where x is not divisible by 3.
which means only y is divisible by 3.
Eg. 13 is not divisible by 3 though 1*3 is divisible by 3. (NO)
or 43 is not divisible by 3 but 4*3 is divisible by 3. (NO)
SUFFICIENT.
Answer (C).
