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

 It is currently 07 Dec 2019, 13:15 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A piece of string 1½ meters long is cut into three pieces. What is the

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59588
A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

1
4 00:00

Difficulty:   35% (medium)

Question Stats: 69% (01:33) correct 31% (01:20) wrong based on 125 sessions

### HideShow timer Statistics

A piece of string 3/2 meters long is cut into three pieces. What is the length of each of the pieces?

(1) The length of one of the pieces is 20 cm.
(2) The sum of the lengths of two of the pieces is equal to the length of the third piece.

_________________
Intern  Joined: 07 May 2016
Posts: 25
Re: A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

1
Bunuel wrote:
A piece of string 3/2 meters long is cut into three pieces. What is the length of each of the pieces?

(1) The length of one of the pieces is 20 cm.
(2) The sum of the lengths of two of the pieces is equal to the length of the third piece.

3/2 meters = 150 cm

call x,y,z are the length of 3 pieces
using (1):

20+y+z = 150
=> not sufficient

using (2):

20 + y = z
=> not sufficient

combine (1) and (2):

20+y+z=150
20 + y =z

=>z + z = 150
=> 2z = 150
=> z = 75 cm
=> y = 150-(75+20) = 55 cm

=> sufficient (I think so :3 not sure it's correct or not )
Current Student Joined: 18 Oct 2014
Posts: 796
Location: United States
GMAT 1: 660 Q49 V31 GPA: 3.98
Re: A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

Bunuel wrote:
A piece of string 3/2 meters long is cut into three pieces. What is the length of each of the pieces?

(1) The length of one of the pieces is 20 cm.
(2) The sum of the lengths of two of the pieces is equal to the length of the third piece.

Information given:- 3/2*100= 150 cms long string is cut into three pieces.

Question:- Length of all three pieces?

(1) The length of one of the pieces is 20 cm. Length of other three pieces is not given (Not sufficient)

(2) The sum of the lengths of two of the pieces is equal to the length of the third piece.
F+S=T

F+S+T=150
2T= 150
T=75

F+S= 75

But F and S can have multiple values (Not sufficient)

Combining two statements- F=20, T=75. We can calculate S easily.

_________________
I welcome critical analysis of my post!! That will help me reach 700+
Manager  B
Joined: 16 Mar 2016
Posts: 121
Location: France
GMAT 1: 660 Q47 V33 GPA: 3.25
A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

Let's write the lengths of the 3 pieces : a, b, and c.
We know that a+b+c = 2/3 m = 1,5 m = 150 cm

(1) one length's piece is 20 cm

for example a= 20 cm
but b and c can be every couple such as b+c = 150 - 20 = 130 cm (100,30 or 70,60 or 50,80...)

Not sufficient

(2) The sum of the lengths of two of the pieces is equal to the length of the third piece

for example a+b = c
and a+b+c = 150
so 2c=150 => c = 75
but a and b can be every couple such as a+b = 150-75 = 75 (70,5 or 60,15 ...)

Not sufficient

(combined)

c=75
a=20
so, b=150-75-20 = 55

Manager  G
Joined: 22 May 2015
Posts: 125
Re: A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

Say each piece be a,b,c cms.

Given : a+b+b = 150 cms

From

1) a or b or c is 20 cms. No info about rest 2. Insufficient.

2) say a+b = c => c =75. No info about and b. Insufficient.

Combining 1 and 2

c = 75 , say a= 20 => b=55. Hence 3 lengths are 20,55,75. Sufficient,

Hence C
_________________
Consistency is the Key
Intern  B
Joined: 08 Jun 2015
Posts: 19
Location: United States
Concentration: Finance, Economics
WE: Engineering (Other)
Re: A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

Remember we don't need to get the exact answers in DS questions.

From info available l1+l2+l3 = 150 cms and we need to get l1, l2 and l3.

S1: l1 = 20 Not sufficient.

S2: l1 + l2 = l3.
So, 2 l3 = 150 or l3 = 75. So l1+l2 = 75 . Not sufficient to get l1 & l2.

S1 & S2 we can get l1 = 20 & l1 + l2 = 75, so C is sufficient to get the answer.
Non-Human User Joined: 09 Sep 2013
Posts: 13724
Re: A piece of string 1½ meters long is cut into three pieces. What is the  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: A piece of string 1½ meters long is cut into three pieces. What is the   [#permalink] 03 Oct 2019, 19:23
Display posts from previous: Sort by

# A piece of string 1½ meters long is cut into three pieces. What is the  