If x and y are both positive numbers

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

If x and y are both positive numbers

by BTGmoderatorDC » Thu Jan 11, 2018 3:39 pm

If x and y are both positive numbers, is x greater than 75% of y?

(1) 5x > 4y + 1
(2) x = 6

Is statement 1 sufficient? If no, can some experts explain why?

OA A

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Fri Jan 12, 2018 1:25 am

lheiannie07 wrote:If x and y are both positive numbers, is x greater than 75% of y?

(1) 5x > 4y + 1
(2) x = 6

Is statement 1 sufficient? If no, can some experts explain why?

OA A

(1) 5x > 4y + 1

Diving the inequality by 5, we get x > (4/5)y + 1

x > 80% of y + 1; we can convert 4/5 in percent; (4/5)*100% = 80%

We see that x is greater than 80% of y and some quantity (1). since x and y are positive, it obvious that x is greater than 75% of y. Sufficient.

(2) x = 6

We do not have any information about y. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

by BTGmoderatorDC » Sun Jan 14, 2018 4:55 pm

Jay@ManhattanReview wrote:
lheiannie07 wrote:If x and y are both positive numbers, is x greater than 75% of y?

(1) 5x > 4y + 1
(2) x = 6

Is statement 1 sufficient? If no, can some experts explain why?

OA A
(1) 5x > 4y + 1

Diving the inequality by 5, we get x > (4/5)y + 1

x > 80% of y + 1; we can convert 4/5 in percent; (4/5)*100% = 80%

We see that x is greater than 80% of y and some quantity (1). since x and y are positive, it obvious that x is greater than 75% of y. Sufficient.

(2) x = 6

We do not have any information about y. Insufficient.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Beijing | Copenhagen | Oslo | Lisbon | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Thanks a lot!

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