BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If \(x, y\) and \(z\) are positive integers, is \(x\%\) of

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

edited:

by deloitte247 » Sun Dec 08, 2019 1:31 pm
repeated by an error in posting...
Last edited by deloitte247 on Sun Dec 08, 2019 1:34 pm, edited 1 time in total.
Top
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Sun Dec 08, 2019 1:32 pm
$$x\%\ of\ y=\frac{x}{100}\cdot y$$
$$y\%\ of\ z=\frac{y}{100}\cdot z$$
Question=> Is x% of y bigger than y% of z?
$$\frac{x}{100}\cdot y>\frac{y}{100}\cdot z$$
Divide through by y/100
$$We\ have\ x>z$$
Statement 1: x = z
If x=z, then the question becomes; is z>z?
No x=z and x% of y is not bigger than y% of z. Thus, statement 1 is NOT SUFFICIENT.

Statement 2: z-y = y-x
z+x = y+y
z+x = 2y
The possible solution include z=4, y=3 and x=2.
If z=4, y=3, and x=2, then x<z but if z=2, y=3 and x=4, then x>z.
Since we cannot decide if x is greater or less than z, then, statement 2 is NOT SUFFICIENT.

Therefore, since statement 1 alone is SUFFICIENT, the correct answer is option A.
Top
Post new topic Post Reply
• Page 1 of 1