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What is the maximum length of a rod, with marginal thickness, that can

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What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   14 Oct 2018, 11:06
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What is the maximum length of a rod, with marginal thickness, that can be kept in a rectangular box B?

(1) The length of the box is 6 and the height is 5

(2) The breadth of the box is 4 and the height is 5

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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   14 Oct 2018, 18:29
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What is the maximum length of a rod, with marginal thickness, that can be kept in a rectangular box B?

It has to be the diagonal of the box, so we require \(\sqrt{L^2+B^2+H^2}\)

(1) The length of the box is 6 and the height is 5
We don't know the breadth
Insufficient

(2) The breadth of the box is 4 and the height is 5
We don't know the length
Insufficient

Combined
All three dimensions known
Sufficient

C
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   19 Dec 2021, 23:22
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tangokilo23 wrote:
Bunuel ExpertsGlobal VeritasKarishma Kindly clear this doubt.

I got this question wrong because I took a risky assumption. But it's better to clear this doubt for the future.

Logically Length is considered to be longer than breadth in such figures. And hence I considered statement 1 to be sufficient. Because I assume that the breadth would have to be less than or equal to 6 (<=6) as it should not be greater than the length.

Is this kind of assumption unwarranted?

Thankyou.


No, I will not assume that length must be greater than the breadth. It is one interpretation of the term "length", but I wouldn't assume that it must hold. In any case, even if I do know that breadth is less than 6, it could be 1 or 2 or 5 etc. How can we find the maximum length of the rod without an exact value for breadth. The maximum length of the rod will vary as per the breadth of the box.
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   27 May 2020, 20:21
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Gmat4321prep wrote:
Hi..
If in this question in the second part the height was given 10 instead of 5 the answer would be C or E in that case?
If it’s 10 we could take the ratio and then breadth would become 8..
Is that right?
Kindly clear this doubt

Posted from my mobile device



Hi
You have to have the height same in both the statements
You cannot have 5 as height in statement I and 10 in statement II.
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   27 May 2020, 20:07
Hi..
If in this question in the second part the height was given 10 instead of 5 the answer would be C or E in that case?
If it’s 10 we could take the ratio and then breadth would become 8..
Is that right?
Kindly clear this doubt

Posted from my mobile device
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   19 Dec 2021, 00:09
Bunuel ExpertsGlobal VeritasKarishma Kindly clear this doubt.

I got this question wrong because I took a risky assumption. But it's better to clear this doubt for the future.

Logically Length is considered to be longer than breadth in such figures. And hence I considered statement 1 to be sufficient. Because I assume that the breadth would have to be less than or equal to 6 (<=6) as it should not be greater than the length.

Is this kind of assumption unwarranted?

Thankyou.
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   19 Dec 2021, 09:57
tangokilo23 wrote:
Bunuel ExpertsGlobal VeritasKarishma Kindly clear this doubt.

I got this question wrong because I took a risky assumption. But it's better to clear this doubt for the future.

Logically Length is considered to be longer than breadth in such figures. And hence I considered statement 1 to be sufficient. Because I assume that the breadth would have to be less than or equal to 6 (<=6) as it should not be greater than the length.

Is this kind of assumption unwarranted?

Thankyou.

You should think in terms of fitting the rod in a 3D box.
Individually if any two out of the length, breadth or height is given, then it is not sufficient to determine the how big the 3D box is, and consequently you cannot reach to the answer.
So really it does not matter if length is bigger than height or vice-versa.
Hope this helps.
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   19 Dec 2021, 10:15
AnirudhaS wrote:
tangokilo23 wrote:
Bunuel ExpertsGlobal VeritasKarishma Kindly clear this doubt.

I got this question wrong because I took a risky assumption. But it's better to clear this doubt for the future.

Logically Length is considered to be longer than breadth in such figures. And hence I considered statement 1 to be sufficient. Because I assume that the breadth would have to be less than or equal to 6 (<=6) as it should not be greater than the length.

Is this kind of assumption unwarranted?

Thankyou.

You should think in terms of fitting the rod in a 3D box.
Individually if any two out of the length, breadth or height is given, then it is not sufficient to determine the how big the 3D box is, and consequently you cannot reach to the answer.
So really it does not matter if length is bigger than height or vice-versa.
Hope this helps.


Thank you so much for the effort,
Although, I am not concerned about Length vs Height.
I am saying that Given the L and H, I am introducing B and B shall be limited to <=L

As per the formula sq. root(L^2+B^2+H^2). L is given, H is given, B is Limited. Hence, MAX VALUE POSSIBLE TO CALCULATE, SUFFICIENT.

I know it's a leap. But still want to confirm it. Since technically it should be the assumption. I think the questions language kind of hints at this assumption.

Bunuel, ExpertsGlobal
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink] New post   20 Dec 2021, 00:39
VeritasKarishma wrote:
tangokilo23 wrote:
Bunuel ExpertsGlobal VeritasKarishma Kindly clear this doubt.

I got this question wrong because I took a risky assumption. But it's better to clear this doubt for the future.

Logically Length is considered to be longer than breadth in such figures. And hence I considered statement 1 to be sufficient. Because I assume that the breadth would have to be less than or equal to 6 (<=6) as it should not be greater than the length.

Is this kind of assumption unwarranted?

Thankyou.


No, I will not assume that length must be greater than the breadth. It is one interpretation of the term "length", but I wouldn't assume that it must hold. In any case, even if I do know that breadth is less than 6, it could be 1 or 2 or 5 etc. How can we find the maximum length of the rod without an exact value for breadth. The maximum length of the rod will vary as per the breadth of the box.


Wow!, Thank you so much. I never thought from that point of view.
It is much clearer now. Appreciate it.
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Re: What is the maximum length of a rod, with marginal thickness, that can [#permalink]
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