Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 06:19 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Which of the following could be the value of x + y, if both (x + 1/5)

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56303
Which of the following could be the value of x + y, if both (x + 1/5)  [#permalink]

### Show Tags 00:00

Difficulty:   55% (hard)

Question Stats: 66% (02:27) correct 34% (02:32) wrong based on 52 sessions

### HideShow timer Statistics Which of the following could be the value of x + y, if both (x + 1/5) and (y – 3/4) are positive integers?

(A) 13/5
(B) 51/20
(C) 31/20
(D) 21/20
(E) 13/20

_________________
Senior Manager  G
Joined: 22 Nov 2018
Posts: 478
Location: India
GMAT 1: 640 Q45 V35 GMAT 2: 660 Q48 V33 Re: Which of the following could be the value of x + y, if both (x + 1/5)  [#permalink]

### Show Tags

Bunuel wrote:
Which of the following could be the value of x + y, if both (x + 1/5) and (y – 3/4) are positive integers?

(A) 13/5
(B) 51/20
(C) 31/20
(D) 21/20
(E) 13/20

Lowest positive integer is 1; so Comparing both x and y as equal to 1 results in x=1-1/5=4/5 and y=1+3/4=7/4

So x+y = 4/5+7/4 = 51/20 IMO Option B
_________________
Give +1 kudos if this answer helps..!!
Director  P
Joined: 19 Oct 2018
Posts: 697
Location: India
Re: Which of the following could be the value of x + y, if both (x + 1/5)  [#permalink]

### Show Tags

1
(x + 1/5) is an integer
Hence x=4mod5
x=$$\frac{5a+4}{5}$$

(y – 3/4) is an positive integer
y=3(mod 4)
y=$$\frac{4b+3}{4}$$

x+y=$$\frac{5a+4}{5}$$ + $$\frac{4b+3}{4}$$
x+y= (a+b) + 31/20
At b=0, (y – 3/4)=0. Hence minimum value of b we should take is 1

When a=0 and b=1
x+y= 51/20

Bunuel wrote:
Which of the following could be the value of x + y, if both (x + 1/5) and (y – 3/4) are positive integers?

(A) 13/5
(B) 51/20
(C) 31/20
(D) 21/20
(E) 13/20
Senior Manager  G
Joined: 13 Feb 2018
Posts: 413
GMAT 1: 640 Q48 V28 Re: Which of the following could be the value of x + y, if both (x + 1/5)  [#permalink]

### Show Tags

According to the stem:
$$(x+\frac{1}{5})$$$$+(y-\frac{3}{4})=Integer$$
$$x+y-\frac{11}{20}=integer$$

Only B and C satisfy, discard other choices
Now we have got
$$\frac{51}{20}-\frac{11}{20}=2$$
$$\frac{31}{20}-\frac{11}{20}$$=1

Then I was confused (several secs )
Checking back the stem I realized that
Positive integer+Positive integer=integer, which is >=2
As adding two positive integers cant yield 1

IMO
Ans: B
Senior Manager  G
Joined: 16 Jan 2019
Posts: 304
Location: India
Concentration: General Management
WE: Sales (Other)
Re: Which of the following could be the value of x + y, if both (x + 1/5)  [#permalink]

### Show Tags

2
x+0.20 = positive integer
x = positive integer - 0.20
x = abc.80

Similarly,
y-0.75=positive interger
y=postive integer+0.75

Therefore, y is at least 1.75

Lets consider minimum value case where y=1.75 and x=0.80

x+y=2.55=255/100=51/20

Hit Kudos if this helped!

Posted from my mobile device Re: Which of the following could be the value of x + y, if both (x + 1/5)   [#permalink] 07 Jun 2019, 06:07
Display posts from previous: Sort by

# Which of the following could be the value of x + y, if both (x + 1/5)  