NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 23:03 It is currently 24 Apr 2024, 23:03
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

GMAT Club Around The World!!! How many integers that have a value less

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618856 [2]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   01 Jan 2021, 04:00
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

63% (01:30) correct 38% (01:30) wrong based on 64 sessions
Hide Show timer Statistics
How many integers that have a value less than 4 satisfy the inequality \((y+1)(y+2)(y+4) \geq 0\)?

A. 4
B. 5
C. 6
D. 7
E. 8




Happy New Year American Samoa!

Dec 31 Event: GMAT Club Around The World!
(38 new questions posted every hour time zone on Dec 31!)

ShowHide Answer
Official Answer
E
avatar
G
Deepakjhamb
Manager
Manager
Joined: 29 Mar 2020
Posts: 226
Own Kudos [?]: 126 [1]
Given Kudos: 14
Location: India
Concentration: General Management, Leadership
Schools: HBS '22 IIMA PGPX'22
GPA: 3.96
WE:Business Development (Telecommunications)
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   01 Jan 2021, 05:23
1
Kudos
How many integers that have a value less than 4 satisfy the inequality (y+1)(y+2)(y+4)≥0(y+1)(y+2)(y+4)≥0?

A. 4
B. 5
C. 6
D. 7
E. 8


now we get -4 <=y <= -2 and y >= -1 and also y < 4

so we have solutions as -4,-3 ,-2 ,-1 ,0,1,2,3 so total 8 integers satisfy eq < 4

so answer is e) 8
avatar
B
BIDJI23
Intern
Intern
Joined: 26 Apr 2020
Posts: 34
Own Kudos [?]: 24 [0]
Given Kudos: 65
GMAT 1: 550 Q45 V22
GMAT 2: 620 Q48 V27
Send PM
GMAT ToolKit User
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   01 Jan 2021, 05:50
Let's see : when this condition is <0?

When only the 3 factors are under 0.

When 2 factors are <0 and one above 0, then the condition is >=0

When the first factor is under 0, the second one is equal to 0... So we can not have 1 negative factor and 2 positive.

Then when the 3 factors are under 0 ? When y<-4

So let's count for our problem here: -4;-3;-2;-1;0;1;2;3

PUSH E
avatar
P
ananya3
Current Student
Joined: 05 Oct 2018
Posts: 108
Own Kudos [?]: 109 [0]
Given Kudos: 152
Location: India
Schools: Fuqua '24 Haas '24 ISB '23 Johnson '24 Kelley '24 Kenan-Flagler '24 McDonough '24 NUS Ross '24 Tepper '24 Tuck '24 Rotman '24 (A)
GMAT 1: 700 Q49 V36
GPA: 3.87
Send PM
GMAT ToolKit User
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   01 Jan 2021, 05:55
IMO E

values of y = {-4,-2,-1}
case 0: for the above values (y+1)(y+2)(y+4) = 0

case 1:
y < -4
(y+1)(y+2)(y+4)< 0

case 2:
-4 <= y <-2
(y+1)(y+2)(y+4) >= 0

case3:
-2 <= y <-1
(y+1)(y+2)(y+4) <= 0

case 4:
y>= -1
(y+1)(y+2)(y+4) >= 0

possible values of y less than 4 that satisfy the inequality (y+1)(y+2)(y+4) >= 0 are: {-4,-3,-2,-1,0,1,2,3}
number of integers = 8
Attachments

solution.png
solution.png [ 28.52 KiB | Viewed 1755 times ]

avatar
P
rocky620
Retired Moderator
Joined: 10 Nov 2018
Posts: 538
Own Kudos [?]: 436 [0]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail)
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   01 Jan 2021, 07:24
Kindly refer the image below:

There will be three nodes: -4,-2,-1
Since it is greater than or equal to we will take the values in positive sections along with the nodal values.

Between -2 & -4 = 3 values (-2, -3, -4)
Between 4 & -1 = 5 values (-1, 0, 1, 2, 3) we cannot include 4 as the values need to be less than 4.

Total 8 integral values.

IMO Option E
Attachments

Q37.png
Q37.png [ 4.31 KiB | Viewed 1723 times ]

avatar
D
TarunKumar1234
VP
VP
Joined: 14 Jul 2020
Posts: 1139
Own Kudos [?]: 1292 [0]
Given Kudos: 351
Location: India
Send PM
GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   Updated on: 08 Jan 2021, 05:35
Given expression, (y+1)(y+2)(y+4)≥0

So, y = [-4,-2] U [-1,4) as we need to get less than 4.
y= -4,-3,-2,-1,0,1, 2,3.

So, I think E. :)

Originally posted by TarunKumar1234 on 02 Jan 2021, 00:23.
Last edited by TarunKumar1234 on 08 Jan 2021, 05:35, edited 1 time in total.
User avatar
P
Green2k1
Manager
Manager
Joined: 06 Jun 2019
Posts: 117
Own Kudos [?]: 97 [0]
Given Kudos: 48
Location: India
Concentration: International Business, Technology
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   02 Jan 2021, 05:47
Correct Answer E

How many integers that have a value less than 4 satisfy the inequality (y+1)(y+2)(y+4)≥0?

will be equal to 0 at -1, -2, -4. after drawing on the number line, possible acceptable values are
3, 2, 1, 0, -1, -2, -3 ,-4

Total = 8
avatar
B
manasi05
Manager
Manager
Joined: 23 Jul 2020
Posts: 68
Own Kudos [?]: 27 [0]
Given Kudos: 55
Location: India
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   04 Jan 2021, 10:51
(y+1) (y+2) (y+4) >=0
After plotting the values on number line we will get the range of y
y >= -1
-4 <= y <= -2
So the integers that have a value less then 4 which satisfy the inequality will be
-4, -3, -2, -1, 0, 1, 2, 3
So there will be total 8 integer values

So the answer will be E
avatar
B
Talha95
Intern
Intern
Joined: 07 Feb 2019
Posts: 15
Own Kudos [?]: 1 [0]
Given Kudos: 31
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   04 Jan 2021, 17:25
We can find the values which satisfy the equation are 0,1,2,3,-1,-2,-3,-4=8 .
Ans: E.

Posted from my mobile device
User avatar
G
CEdward
VP
VP
Joined: 11 Aug 2020
Posts: 1262
Own Kudos [?]: 201 [0]
Given Kudos: 332
Send PM
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink] New post   15 Jan 2021, 21:27
How many integers that have a value less than 4 satisfy the inequality (y+1)(y+2)(y+4)≥0

A. 4
B. 5
C. 6
D. 7
E. 8

The question is asking, for how many integers where y < 4 is the inequality satisfied.

Let's pick the numbers in descending order:
3 YES
2 YES
1 YES
0 YES
-1 YES
-2 YES
-3 YES
-4 YES
-5 NO

Anything less than -4 is out. I count 8 YES.

Answer is E
GMAT Club Bot
gmatclubot
Re: GMAT Club Around The World!!! How many integers that have a value less [#permalink]
15 Jan 2021, 21:27
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions