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An integer is randomly selected from 101 to 751. What is the probabili

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Aabhash777
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An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   03 Oct 2022, 10:23
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An integer is randomly selected from 101 to 751. What is the probability that the selected number is an olive number?
1. An olive number is an even multiple of 13.
2. An olive number must be divisible by 26.
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chetan2u
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An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   09 Oct 2022, 01:00
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Aabhash777 wrote:
An integer is randomly selected from 101 to 751. What is the probability that the selected number is an olive number?
1. An olive number is an even multiple of 13.
2. An olive number must be divisible by 26.



Aabhash777, the Jamboree instructor is wrong.
TithiMarodia

Not very fond of the question, but if I have to find a solution

1. An olive number is an even multiple of 13.
This tells us that Olive number = even multiple of 13.
So possible solutions are 8*13, 10*13, 12*13.
Sufficient

2. An olive number must be divisible by 26.
The wording tells us that being divisible by 26 is just one property.
a) It could be that the olive number is a multiple of 52, so 8*13 and 12*13.
b) It could be that the olive number is a multiple of 26, so 8*13, 10*13 and 12*13.
Both the above examples satisfy the conditions of statement II.
Insufficient


A
We are to be tested on mathematical applications and not on verbal reasoning, so not a great question.
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TithiMarodia
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Re: An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   07 Oct 2022, 01:21
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Please help me in understanding what's wrong with the option D.

statement one says that an olive number is something which is an even multiple of 13 thus we can find the number of even multiples among the given range and then further calculate the probability.

I know that the statements never contradict each other.

Statement two says that an olive number is something which is a multiple of 26. Thus from here as well we can take out the probability

so what's wrong here? what am i missing?
please help
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Aabhash777
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Re: An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   08 Oct 2022, 23:43
Honestly, I do not get it as well. I did contact Jamboree's instructor, who told me that the correct answer should be D, but the book wrongly mentions option A as the answer.

TithiMarodia wrote:
Please help me in understanding what's wrong with the option D.

statement one says that an olive number is something which is an even multiple of 13 thus we can find the number of even multiples among the given range and then further calculate the probability.

I know that the statements never contradict each other.

Statement two says that an olive number is something which is a multiple of 26. Thus from here as well we can take out the probability

so what's wrong here? what am i missing?
please help
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Aabhash777
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Re: An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   09 Oct 2022, 02:53
Thank you finally got it.

Could you also see a similar question and clarify us regarding it.
https://gmatclub.com/forum/a-number-is-randomly-selected-from-the-first-100-positive-multiples-of-399902.html


chetan2u wrote:
Aabhash777 wrote:
An integer is randomly selected from 101 to 751. What is the probability that the selected number is an olive number?
1. An olive number is an even multiple of 13.
2. An olive number must be divisible by 26.



Aabhash777, the Jamboree instructor is wrong.
TithiMarodia

Not very fond of the question, but if I have to find a solution

1. An olive number is an even multiple of 13.
This tells us that Olive number = even multiple of 13.
So possible solutions are 8*13, 10*13, 12*13.
Sufficient

2. An olive number must be divisible by 26.
The wording tells us that being divisible by 26 is just one property.
a) It could be that the olive number is a multiple of 52, so 8*13 and 12*13.
b) It could be that the olive number is a multiple of 26, so 8*13, 10*13 and 12*13.
Both the above examples satisfy the conditions of statement II.
Insufficient


A
We are to be tested on mathematical applications and not on verbal reasoning, so not a great question.
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Re: An integer is randomly selected from 101 to 751. What is the probabili [#permalink] New post   15 Jan 2024, 05:08
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Re: An integer is randomly selected from 101 to 751. What is the probabili [#permalink]
15 Jan 2024, 05:08
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