|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
02 May 2018, 01:33
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (01:38) correct
23%
(01:37)
wrong
based on 102
sessions
History
Date
Time
Result
Not Attempted Yet
If x and y are positive integers, what is the value of x + y?
(1) xy = 36
(2) y >= x + 6
(1) xy = 36
(2) y >= x + 6
02 May 2018, 02:05
Kudos
Bookmarks
Solution
Given:
• x and y are positive integers
To find:
• The value of x + y
Analysing Statement 1
- • As per the information given in Statement 1, xy = 36
- o From this statement, we cannot conclude the value of x and y individually as there exist multiple possibilities (like x = 1, y = 36; or, x = 4, y = 9 etc.)
• Hence, Statement 1 is not sufficient to answer
Analysing Statement 2
- • As per the information given in Statement 2, y ≥ x + 6
- o From this statement, we can only say y – x ≥ 6
• Hence, Statement 2 is not sufficient to answer
Combining Both Statements
- • From 1st statements, xy = 36
- o x=1, y= 36 and y=1, x= 36
o x=2, y= 18 and y=2, x= 18
o x=3, y= 12 and y=3, x= 12
o x=4, y=9 and y=4, x=9
o x=6, y=6 and y=6, x=6
• From statement 2: y – x ≥ 6
By combining both the statements, the values of x and y that satisfies are:
- o x=1, y= 36
o x=2, y= 18
o x=3, y= 12
Answer: E
27 Aug 2018, 06:03
Kudos
Bookmarks
Bunuel
(1+2) Insufficient:
Take (x,y) = (1,36) to answer 37
Take (x,y) = (2,18) to answer 20
The above follows the notations and rationale taught in the GMATH method.
