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!
07 Dec 2021, 03:00
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
44% (02:54) correct
56%
(02:25)
wrong
based on 97
sessions
History
Date
Time
Result
Not Attempted Yet
How many positive integer values of x will satisfy the inequality \((x - 7)(x - 9)(x - 11)...(x - 99) < 0\) ?
A. 23
B. 24
C. 29
D. 30
E. 31
Are You Up For the Challenge: 700 Level Questions
A. 23
B. 24
C. 29
D. 30
E. 31
Are You Up For the Challenge: 700 Level Questions
08 Dec 2021, 03:24
Kudos
Bookmarks
First thing one notices is that x is being subtracted by odd numbers from 7 through to 99. Which means in total there are 47 terms (\(\frac{99-7}{2} + 1 = 47\))
For the inequality to hold, x cannot be any value which it is being subtracted by or there will be a zero. Zero multiplied by anything = 0.
x can be any value between 1 and 6 (inclusive), as then each of the 47 terms will be negative. Multiplying 47 negative terms will result in a negative value.
Looking at even numbers greater than 7 and less than 99 (if x = 99 then the answer will be 0, and if x > 99 then the answer will be positive),
if x = 8 then there will be 1 positive numbers and 46 negative numbers
if x = 10 then there will be 2 positive numbers and 45 negative numbers
if x = 12 then there will be 3 positive numbers and 44 negative numbers
if x = 14 then there will be 4 positive numbers and 43 negative numbers.
Every second even number will yield an odd amount of negative numbers and thus a negative answer which will satisfy the inequality.
Total amount of even numbers between 8 and 98 (inclusive): \(\frac{98-8}{2}+1 = 46\)
As every second even number will yield an odd amount of negative numbers: \(\frac{46}{2} = 23\).
Adding this with initial 6 values:
\(23 + 6 = 29\)
29 values of x will satisfy the inequality.
Answer C
For the inequality to hold, x cannot be any value which it is being subtracted by or there will be a zero. Zero multiplied by anything = 0.
x can be any value between 1 and 6 (inclusive), as then each of the 47 terms will be negative. Multiplying 47 negative terms will result in a negative value.
Looking at even numbers greater than 7 and less than 99 (if x = 99 then the answer will be 0, and if x > 99 then the answer will be positive),
if x = 8 then there will be 1 positive numbers and 46 negative numbers
if x = 10 then there will be 2 positive numbers and 45 negative numbers
if x = 12 then there will be 3 positive numbers and 44 negative numbers
if x = 14 then there will be 4 positive numbers and 43 negative numbers.
Every second even number will yield an odd amount of negative numbers and thus a negative answer which will satisfy the inequality.
Total amount of even numbers between 8 and 98 (inclusive): \(\frac{98-8}{2}+1 = 46\)
As every second even number will yield an odd amount of negative numbers: \(\frac{46}{2} = 23\).
Adding this with initial 6 values:
\(23 + 6 = 29\)
29 values of x will satisfy the inequality.
Answer C
25 Aug 2024, 05:40
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
