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In the figure above, what is the length of AD?

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In the figure above, what is the length of AD?  [#permalink]

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New post 22 Dec 2014, 07:56
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A
B
C
D
E

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78% (01:07) correct 22% (01:33) wrong based on 168 sessions

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Tough and Tricky questions: Geometry Problems.



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In the figure above, what is the length of AD?

(1) AC = 6
(2) BD = 6

Kudos for a correct solution.

Attachment:
2014-12-22_1955.png
2014-12-22_1955.png [ 1.5 KiB | Viewed 10460 times ]

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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 22 Dec 2014, 08:24
1
1. CD is not known.Insufficient
2.AB is not known. Insufficeint

1+2 > > AB+2(BC)+CD=12 >> AD+BC=12
BC is not known. Insufficient

E
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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 22 Dec 2014, 09:21
1
Determine the length of AD?

Statement 1: AC = 6
We don't know CD -- Insufficient

Statement 2: BD = 6
We don't know AB -- Insufficient

Combining 1&2:
AC + BD = 12, here BC is accounted twice and since we don't know BC -- Insufficient

Answer E
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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 22 Dec 2014, 19:21
1
First thing you need to understand after looking at the figure position of points related to each other is not given. DO NOT ASSUME.

S(1): Tells nothing about CD hence N.S
S(2): Tells nothing about AB hence N.S

Event after combining we do not know distance between B & C which could be 6 or 0.01 . Hence Not sufficient.

I think this could have been a little more trickier if we were asked maximum length of AD will always be smaller then which number. The answer would be 12 assuming B&C are very close to each other and even if they are on top of each other the maximum length can be 12.
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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 23 Dec 2014, 10:26
1
Bunuel wrote:

Tough and Tricky questions: Geometry Problems.



Attachment:
2014-12-22_1955.png

In the figure above, what is the length of AD?

(1) AC = 6
(2) BD = 6

Kudos for a correct solution.



AD = AB+BC+CD

From Statement 1: AC =6; AD = 6+CD(We cannot find using given information)
Statement 2: BD = 6; AD= 6+AB (Again, We cannot find using given information)
Combining both also not sufficient to find the value


Ans : E
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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 15 Aug 2015, 00:54
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Geometry Problems.



Attachment:
2014-12-22_1955.png

In the figure above, what is the length of AD?

(1) AC = 6
(2) BD = 6

Kudos for a correct solution.


The correct answer is E.


Hi Bunnuel,

My soln was:

AD = AC + BD - BC (as in AC + BD , BC is already counted)
NOw as AC=BD = 6, both points B and C are same. ( Taking St 1 and St 2 together)

so AD = 12.

Can you Pls. guide me where I went wrong?
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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 16 Aug 2015, 12:53
robinpallickal wrote:
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Geometry Problems.



Attachment:
2014-12-22_1955.png

In the figure above, what is the length of AD?

(1) AC = 6
(2) BD = 6

Kudos for a correct solution.


The correct answer is E.


Hi Bunnuel,

My soln was:

AD = AC + BD - BC (as in AC + BD , BC is already counted)
NOw as AC=BD = 6, both points B and C are same. ( Taking St 1 and St 2 together)

so AD = 12.

Can you Pls. guide me where I went wrong?


Image
The red part is not correct. Consider AB = 5, BC = 1, and CD = 5 OR AB = 4, BC = 2, and CD = 4.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the figure above, what is the length of AD?  [#permalink]

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New post 31 Mar 2018, 08:28
Try to draw the line diagram in mind to solve the question in seconds.
As we do not know the overlap of AC & BD, it is insufficient.

See the sketch.
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In the figure above, what is the length of AD?  [#permalink]

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New post 01 Apr 2018, 21:59
Bunuel wrote:

Tough and Tricky questions: Geometry Problems.



Image
In the figure above, what is the length of AD?

(1) AC = 6
(2) BD = 6

Kudos for a correct solution.

Attachment:
2014-12-22_1955.png



We can also solve this question by taking AB=x, BC=y, CD=z. So we need to find AD, which is x+y+z

Statement 1:
Gives us x+y = 6, so it is not sufficient.

Statement 2:
Gives us y+z = 6, so again not sufficient.

Combining, we can add the two, we get:
x+y + y+z = 6+6 OR x+y+z + y = 12
Unless we know y, we cannot find x+y+z. So not sufficient.

Hence E answer
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In the figure above, what is the length of AD? &nbs [#permalink] 01 Apr 2018, 21:59
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