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!
02 Jun 2023, 08:34
Kudos
Bookmarks
B
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:
60% (02:37) correct
40%
(02:22)
wrong
based on 86
sessions
History
Date
Time
Result
Not Attempted Yet
Two functions g(y) and h(y, z) are defined for all 4-digit integers, such that g(y) = (7)\(^n\) (11)\(^m\) (13)\(^p\) (17)\(^q\) and h(y,z) = \(\frac{y-z}{500}\) where y and z are 4-digit integers while n, m, p, and q are thousands, hundreds, tens, and units’ digits of y, respectively. Is h(a,b) > 1?
(A) The total number of factors of g(a) = The total number of factors of g(b).
(B) \(\frac{g(a)}{g(b)}\) = 49.
(A) The total number of factors of g(a) = The total number of factors of g(b).
(B) \(\frac{g(a)}{g(b)}\) = 49.
02 Jun 2023, 08:35
Kudos
Bookmarks
ChandlerBong
Hi Experts, Bunuel, ThatDudeKnows, KarishmaB,
Can you please share your approach to this question?
Thanks in advance.
02 Jun 2023, 10:40
Kudos
Bookmarks
ChandlerBong
First things first -
h(a,b) is greater than 1 when (a-b) is greater than 500. So we can reframe the question as
Is (a - b) > 500
\(a = nmpq\)
\(b = rstu\)
Let's start with the second statement 2 as its relatively straightforward -
Statement 2
(B) \(\frac{g(a)}{g(b)}\) = 49
\(g(a) = 7^n * 11^m * 13^p * 17^q\)
\(g(b) = 7^r * 11^s * 13^t * 17^u\)
\(\frac{g(a)}{g(b)} = \frac{7^n * 11^m * 13^p * 17^q}{7^r * 11^s * 13^t * 17^u} = 7^2\)
Inference:
- The thousands value of a is two more than the thousands value of b.
- The number of other prime factors is equal in a and b.
Hence, we can conclude that 'a' is greater than 'b' and the difference in value is greater than 500.
The statement alone is sufficient. Eliminate A, C, and E.
Statement 1
(A) The total number of factors of g(a) = The total number of factors of g(b).
Case 1: If 'a' and 'b' are identical numbers, a - b = 0. In that case, the difference between a and b is not greater than 500.
Case 2: If a and b are not identical, even then knowing the fact that "The total number of factors of g(a) = The total number of factors of g(b)" will not help determine the difference between a and b. For ex. 'a' can have more 7s (i.e. the value of the thousands place of 'a' is greater than that of 'b') and the number of other prime factors is adjusted in such a manner that the total factor remains the same. In such a case it is possible to have the difference between 'a' and 'b' greater than 500. Alternatively, if the numbers are identical, the total factors of g(a) = total factors of g(b), and the difference in that case equals zero.
Hence, we cannot comment on the difference using this statement.
The statement alone is not sufficient.
Option B
