GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jan 2019, 17:02

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le

Author Message
TAGS:

### Hide Tags

Intern
Joined: 06 Dec 2012
Posts: 25
GMAT 1: 510 Q46 V21
GPA: 3.5
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

Updated on: 21 Nov 2014, 08:37
4
7
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:36) correct 31% (01:43) wrong based on 871 sessions

### HideShow timer Statistics

If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the least value of xy?

A. 36
B. -24
C. -36
D. -16
E. -10

Got values of X<=4 & X>=6 & Y<=6 & Y>=4 ?
Need help ? Also I doubt on official answer also ?

Originally posted by sunny3011 on 21 Nov 2014, 06:36.
Last edited by Bunuel on 21 Nov 2014, 08:37, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

21 Nov 2014, 08:37
1
6
sunny3011 wrote:
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the least value of xy?

A. 36
B. -24
C. -36
D. -16
E. -10

Got values of X<=4 & X>=6 & Y<=6 & Y>=4 ?
Need help ? Also I doubt on official answer also ?

$$|x + 1| \leq 5$$ --> $$-5 \leq x + 1 \leq 5$$ --> $$-6 \leq x \leq 4$$;
$$|y - 1| \leq 5$$ --> $$-5 \leq y - 1 \leq 5$$ --> $$-4 \leq y \leq 6$$.

Te least value is obtained when x = -6 and y = 6 --> xy = -36.

_________________
##### General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

21 Nov 2014, 08:41
Bunuel wrote:
sunny3011 wrote:
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the least value of xy?

A. 36
B. -24
C. -36
D. -16
E. -10

Got values of X<=4 & X>=6 & Y<=6 & Y>=4 ?
Need help ? Also I doubt on official answer also ?

$$|x + 1| \leq 5$$ --> $$-5 \leq x + 1 \leq 5$$ --> $$-6 \leq x \leq 4$$;
$$|y - 1| \leq 5$$ --> $$-5 \leq y - 1 \leq 5$$ --> $$-4 \leq y \leq 6$$.

Te least value is obtained when x = -6 and y = 6 --> xy = -36.

Similar questions to practice:
if-4-x-7-and-6-y-3-which-of-the-following-specifies-all-the-107764.html
12-easy-pieces-or-not-126366.html#p1033925
12-easy-pieces-or-not-126366-20.html#p1033949
_________________
Manager
Joined: 11 May 2013
Posts: 80
Concentration: Finance, Strategy
GMAT 1: 710 Q48 V39
GPA: 3.94
WE: Accounting (Accounting)
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

21 Nov 2014, 09:00
You forgot to switch the signs when you simplified the inequalities. It should the following:

$$-5<=x+1<=5$$ => $$-6<=x<=4$$
$$-5<=y-1<=5$$ => $$-4<=y<=6$$

Although, I am getting C, not B, since x could be -6 and y could be 6, thus, 6*(-6)=-36.

Correct me if I am wrong.

PS Just saw Bunuel's answer above.
VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1363
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

02 Jul 2016, 09:17
sunny3011 wrote:
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the least value of xy?

A. 36
B. -24
C. -36
D. -16
E. -10

Got values of X<=4 & X>=6 & Y<=6 & Y>=4 ?
Need help ? Also I doubt on official answer also ?

My solution:

$$|x+1|\geq{5}$$ and $$|y-1|\leq{5}$$

$${-5}\leq x+1\leq{5}$$----> $${-5-1}\leq x \leq{5-1}$$ ----> $${-6}\leq x \leq{4}$$

$${-5}\leq y-1\leq{5}$$----> $${-5+1}\leq y \leq {5+1}$$-----> $${-4}\leq x \leq {6}$$

Thus, least value of xy is when x= -6 and y= 6----> -6*6= -36

_________________

"Do not watch clock; Do what it does. KEEP GOING."

Director
Joined: 04 Jun 2016
Posts: 570
GMAT 1: 750 Q49 V43
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

24 Jul 2016, 22:35
sunny3011 wrote:
If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the least value of xy?

A. 36
B. -24
C. -36
D. -16
E. -10

Got values of X<=4 & X>=6 & Y<=6 & Y>=4 ?
Need help ? Also I doubt on official answer also ?

|x + 1|<= 5 ; x<=4 or x>= -6

|y - 1| <= 5 ; y<=6 or y>= -4

Take x=6 and y=-6
xy = -36

This is the smallest xy value given to us in the options

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Manager
Joined: 25 Mar 2013
Posts: 240
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

06 Jan 2017, 11:40
Least xy = ?
Case 1:
x + 1 $$\leq{5}$$
x $$\leq{4}$$
Case 2:
$$-x-1 \leq{5}$$
$$-x \leq {6}$$
$$x\geq{-6}$$

Case 1:
$$y-1 \leq{5}$$
$$y \leq 6$$
Case 2:
$$-y+1 \leq{5}$$
$$-y \leq{4}$$
$$y \geq{-4}$$

xy values are : 24,-16,-36,24
Least xy = -36
C
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Non-Human User
Joined: 09 Sep 2013
Posts: 9431
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

30 Mar 2018, 05:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le &nbs [#permalink] 30 Mar 2018, 05:01
Display posts from previous: Sort by