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

 It is currently 20 Oct 2019, 05:26

### 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

# 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: 23
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, 09:37
5
9
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:37) correct 30% (01:43) wrong based on 998 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, 07:36.
Last edited by Bunuel on 21 Nov 2014, 09:37, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

21 Nov 2014, 09:37
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: 58434
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

21 Nov 2014, 09:41
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, 10:00
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.
SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1687
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

02 Jul 2016, 10:17
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: 556
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, 23:35
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: 226
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, 12:40
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
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le  [#permalink]

### Show Tags

28 Jan 2019, 07:48
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

If |x + 1|<= 5 and |y - 1| <= 5

|x + 1|< 5 or |x + 1|= 5(b) and |y - 1| < 5 or |y - 1| = 5(d)

Now from the answer options, least value of xy can be -36,

If i can get that i am good

when x = -6 in (b) and y = 6 in (d), i should be good

Or condition any one of the condition can be satisfied to use the equality

D
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Re: If |x + 1|<= 5 and |y - 1| <= 5, then which of the following is the le   [#permalink] 28 Jan 2019, 07:48
Display posts from previous: Sort by