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 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 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 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!
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:
52% (02:26) correct
48%
(02:30)
wrong
based on 205
sessions
History
Date
Time
Result
Not Attempted Yet
If a and b are integers then what is the remainder when \(a^2+b^2\) is divided by 7?
(1) \(a - b = 4\)
(2) \(a^2b^3\) is divisible by 14
(1) \(a - b = 4\)
(2) \(a^2b^3\) is divisible by 14
ArunSharma12
Joined: 25 Oct 2015
Last visit: 20 Jul 2022
Posts: 512
Given Kudos: 74
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
Products:
16 Apr 2020, 01:23
Kudos
Bookmarks
Kritisood
statement 1:
\((a - b)^2 = a^2+b^2-2ab = 16\)
\(a^2+b^2 = 16 - 2ab\)
we do not know values of a,b.
not sufficient
statement 2:
\(a^2b^3 = 2*7*k\)
either a,b or a*b is a multiple of 14
not sufficient
combining both statements,
\(a^2+b^2 = \frac{rem(16 - 2ab)}{14}\) = 2
16 Apr 2020, 23:27
Kudos
Bookmarks
Statement 1 and 2 don't provide any value of a and b separately hence, insufficient.
Combined:
a^2+b^2 = (a-b)^2 + 2ab
We need to find the remainder of \(\frac{(a-b){^2}}{7}\) and \(\frac{2ab}{7}\)
From statement 1 we know the value of a-b and hence can find the remainder of part a of the equation
From statement 2 we know that a^2b^3 has a 7 as a prime factor, therefore, ab will also have 7 as a prime factor, thus the remainder of 2ab is 0
C is sufficient
Combined:
a^2+b^2 = (a-b)^2 + 2ab
We need to find the remainder of \(\frac{(a-b){^2}}{7}\) and \(\frac{2ab}{7}\)
From statement 1 we know the value of a-b and hence can find the remainder of part a of the equation
From statement 2 we know that a^2b^3 has a 7 as a prime factor, therefore, ab will also have 7 as a prime factor, thus the remainder of 2ab is 0
C is sufficient
