BTGmoderatorDC wrote: ↑Sun Apr 12, 2020 5:04 pm
If x and y are integers, and xy < 0, what is the value of x?
Statement 1: Five times the value of x is 17 more than 3 times the value of y
Statement 2. x is a perfect square
OA
A
Source: e-GMAT
Given that xy < 0; one between x and y is positive and the other is negative,
Let's take each statement one by one.
1: Five times the value of x is 17 more than 3 times the value of y.
5x = 3y + 17
Note that y cannot be positive, else x would also be positive. Thus, y is negative and x is positive.
Let's compute the value of x from 5x = 3y + 17.
Case 1: Say y = –1
At y = –1, we have x = 14/5; invalid value as x is an integer
Case 2: Say y = –2
At y = –2, we have x = 11/5; invalid value as x is an integer
Case 3: Say y = –3
At y = –3, we have x = 8/5; invalid value as x is an integer
Case 4: Say y = –4
At y = –4, we have x = 1; valid value as x is an integer
So, we have x = 1. Sufficient.
2. x is a perfect square.
Certainly insufficient.
The correct answer:
A
Hope this helps!
-Jay
_________________
Manhattan Review Test Prep
Locations:
Manhattan Review Bangalore |
Chennai |
GRE Prep Hyderabad |
Himayatnagar GRE Coaching | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
