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

 It is currently 22 Oct 2019, 04:22

### 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 is an integer, is x^2 > 25?

Author Message
Director
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If x is an integer, is x^2 > 25?  [#permalink]

### Show Tags

29 Mar 2019, 08:55
00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:20) correct 36% (02:11) wrong based on 45 sessions

### HideShow timer Statistics

If x is an integer, is x^2>25?

I. |x – 3|>5
II. (x + y)^2 > 49, where y is an integer such that |y|<2
Math Expert
Joined: 02 Aug 2009
Posts: 8006
Re: If x is an integer, is x^2 > 25?  [#permalink]

### Show Tags

30 Mar 2019, 00:25
1
If x is an integer, is x^2>25?
$$x^2>25.....-5>x or x>5$$

I. |x – 3|>5
two cases....x-3>5...x>8...YES.
Also -(x-3)>5.....x-3<-5....x<-2
if x is -3, NO..
Insuff

II. (x + y)^2 > 49, where y is an integer such that |y|<2
$$(x + y)^2 > 49.....x+y<-7 ..and.. x+y>7.$$
But -2<y<2
a) x+y<-7.......when x=2, x+2<-7...x<-9. Also x=-2, x-2<-7...x<-5....YES x<-5 in every case
b) x+y>7.......when x=2, x+2>7...x>5. Also x=-2, x-2>7...x>9....YES x>5 in every case

B
_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If x is an integer, is x^2 > 25?  [#permalink]

### Show Tags

31 Mar 2019, 01:15
kiran120680 wrote:
If x is an integer, is x^2>25?

I. |x – 3|>5
II. (x + y)^2 > 49, where y is an integer such that |y|<2

#1
|x – 3|>5
x=8 and 2
not sufficient
#2
(x + y)^2 > 49, where y is an integer such that |y|<2[
y has to be between -2>y<2
so value of x will always be x^2>25
IMO B
SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1686
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
If x is an integer, is x^2 > 25?  [#permalink]

### Show Tags

31 Mar 2019, 06:34
kiran120680 wrote:
If x is an integer, is x^2>25?

I. |x – 3|>5
II. (x + y)^2 > 49, where y is an integer such that |y|<2

Given : x is an integer.

Question : Is x < - 5 or x > 5 ?

St 1: |x - 3| > 5

x - 3 > 5 or x > 8

Or x - 3 < -5 or x < -2

Therefore, 8 > 5 but -2 is not less the -5 .

(x + y) ^ 2 > 49

x + y > +/-7

x + y < - 7 --- (I) or x + y > 7 (II)

|y| < 2

y = -1, 0, 1

Put y = -1 and 1 in equation (I)

x - 1 < -7, so x < -6

x +1 < -7, so x < -8

Put y = -1 and 1in equation (II)

x - 1 > 7, so x > 8

x+1 > 7, so x > 6

So from statement 2, we get all the values of x in the range x < - 5 or x > 5

Hence Sufficient (B)

_________________
"Do not watch clock; Do what it does. KEEP GOING."
If x is an integer, is x^2 > 25?   [#permalink] 31 Mar 2019, 06:34
Display posts from previous: Sort by