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

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

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New post 20 May 2016, 00:17
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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.

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Re: A piece of string 1½ meters long is cut into three pieces. What is the [#permalink]

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New post 20 May 2016, 03:09
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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 :lol: )
=> answer is C
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Re: A piece of string 1½ meters long is cut into three pieces. What is the [#permalink]

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New post 20 May 2016, 11:23
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.

C is the answer
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A piece of string 1½ meters long is cut into three pieces. What is the [#permalink]

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New post 20 May 2016, 14:16
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

Sufficient, answer choice C
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Re: A piece of string 1½ meters long is cut into three pieces. What is the [#permalink]

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New post 24 Aug 2017, 09:18
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
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Re: A piece of string 1½ meters long is cut into three pieces. What is the [#permalink]

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New post 30 Aug 2017, 05:18
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.
Re: A piece of string 1½ meters long is cut into three pieces. What is the   [#permalink] 30 Aug 2017, 05:18
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