If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

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

Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

by Jay@ManhattanReview » Sun Jul 26, 2020 10:27 pm

BTGmoderatorDC wrote: ↑
Sun Jul 26, 2020 7:05 pm
If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

A. 19,104
B. 19,303
C. 19,356.732
D. 19,502
E. 19,909

OA E

Source: Veritas Prep

Given that 100<x<199 and 10<y<100, we will have 1,000 < xy < 19,900. The maximum value of xy would be less than 19,900; thus, option E is incorrect.

Correct answer: E

Hope this helps!

-Jay
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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

by swerve » Mon Jul 27, 2020 4:41 am

BTGmoderatorDC wrote: ↑
Sun Jul 26, 2020 7:05 pm
If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

A. 19,104
B. 19,303
C. 19,356.732
D. 19,502
E. 19,909

OA E

Source: Veritas Prep

\(100 < x < 199\) and \(10 < y < 100\)

Since ALL \(+\)ve & same sign , directly multiply,

\(1000 < xy < 19900\)

The only product which does NOT lie between \(1000\) and \(19900\) is E (\(19,909\))

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