Solve 700-Level Algebra Qs In 90 Secs!
Master 700-level Inequalities and Absolute Value Questions

Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.

FREE GMAT ALGEBRA WEBINAR
Live: 4th June 2023, 7am-9am PST
Presented by e-GMAT

## Of the four numbers represented on the number line above, is $$r$$ closest to zero?

##### This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

### Of the four numbers represented on the number line above, is $$r$$ closest to zero?

by Vincen » Thu Mar 18, 2021 12:18 pm

00:00

A

B

C

D

E

## Global Stats

Of the four numbers represented on the number line above, is $$r$$ closest to zero?

(1) $$q = -s$$
(2) $$-t < q$$

Source: GMAT Paper Tests

### GMAT/MBA Expert

GMAT Instructor
Posts: 16201
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

### Re: Of the four numbers represented on the number line above, is $$r$$ closest to zero?

by [email protected] » Mon Feb 14, 2022 7:47 am

00:00

A

B

C

D

E

## Global Stats

Vincen wrote:
Thu Mar 18, 2021 12:18 pm
Number line.jpg

Of the four numbers represented on the number line above, is $$r$$ closest to zero?

(1) $$q = -s$$
(2) $$-t < q$$

Source: GMAT Paper Tests
Target question: Is r closest to zero?

Statement 1: q = -s
This tells us that q and s are on opposite sides of zero (i.e., one is positive and one is negative) AND it tells us that q and s are the same distance from zero.
So, we get something like this: q.....0.....s
Since r is between points q and s, r must be the closest point to zero
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: -t < q
There are several sets of values that satisfy this condition. Here are two:
Case a: q = -1, r = 0, s = 1 and t = 2, in which case r IS the closest to zero
Case b: q = 0, r = 1, s = 2 and t = 3, in which case r is NOT the closest to zero
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT