GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 21:02

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Is a positive? (1) |a| = |a - 5| (2) |a| = 2.5

Author Message
TAGS:

### Hide Tags

Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
Is a positive? (1) |a| = |a - 5| (2) |a| = 2.5  [#permalink]

### Show Tags

22 Jan 2019, 10:12
1
2
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:07) correct 39% (01:16) wrong based on 59 sessions

### HideShow timer Statistics

Is a positive?

(1) |a| = |a - 5|
(2) |a| = 2.5
Director
Joined: 09 Mar 2018
Posts: 996
Location: India
Is a positive? (1) |a| = |a - 5| (2) |a| = 2.5  [#permalink]

### Show Tags

22 Jan 2019, 10:38
1
akurathi12 wrote:
Is a positive?

(1) |a| = |a - 5|
(2) |a| = 2.5

I tried the number line approach, but was unable to get the answer correct.(would like to see the key point approach as well)
will the key points be 0 and 5 ???

I then used the old approach of solving the mod individually, by taking 4 cases(this is ok here, but if the question was of a higher difficulty, IMO then its a bit time consuming)

(1) |a| = |a - 5|
when both will be +ive or -ive, we will get 0 !=5, this wont be considered as a valid case

When one side will be +ive, we can get a as 2.5 => a = -a + 5
=> a =2.5

Sufficient

Statement B

|a| = 2.5, this will give value of a as -2.5 or 2.5

_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Joined: 24 Jun 2014
Posts: 5
Re: Is a positive? (1) |a| = |a - 5| (2) |a| = 2.5  [#permalink]

### Show Tags

22 Jan 2019, 10:39
Using Statement 2 we get a = 2.5 or -2.5 => statement 2 is insufficent.

Using statement 1 we get a = 2.5 hence sufficient

So the correct Answer is option A

Posted from my mobile device
Re: Is a positive? (1) |a| = |a - 5| (2) |a| = 2.5   [#permalink] 22 Jan 2019, 10:39
Display posts from previous: Sort by