If $|A| > 19,$ which of the following could NOT be equal to $A ?$

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

If $|A| > 19,$ which of the following could NOT be equal to $A ?$

by Gmat_mission » Sun May 31, 2020 1:58 pm

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If $|A| > 19,$ which of the following could NOT be equal to $A ?$

(A) 26
(B) 22
(C) 18
(D) −20
(E) −24

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT

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Source: Beat The GMAT — Problem Solving | Sun May 31, 2020 1:58 pm

gmatc2020: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Tue Jun 02, 2020 1:33 pm

Re: If $|A| > 19,$ which of the following could NOT be equal to $A ?$

by gmatc2020 » Tue Jun 02, 2020 3:24 pm

$$When\ \left|A\right|>19\ ,\ it\ implies\ A<-19\ and\ A>19$$

Given that, the only number that does not fall within these ranges is 18

Answer: C

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quichopipe: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Wed Apr 08, 2020 12:42 pm

Re: If $|A| > 19,$ which of the following could NOT be equal to $A ?$

by quichopipe » Wed Jun 03, 2020 2:29 pm

The question is really asking...what number is less than 19 units away from 0.

Only 18 is less than 19 units from 0.

Another way to solve the problem, test every answer. Only one where |A| is not greater than 19 will be |18| since |18|=18<19

Answer choice C.

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