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As a bicycle salesperson, Norman earns a fixed salary of $20

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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 16 Feb 2016, 23:08
2
Sunil01 wrote:
Hi Karishma and Bunuel,

In order to prove the third statement 1.e y>3, you are assuming x=0.
Is this allowed to assume x=0.

Thanks & regards,
Sunil01


So we need to figure out whether y must be greater than 3. So I think to myself - what is so great about y = 3 that it cannot happen while y = 4 can probably happen?
That is why I put y = 3 and see the numbers I get.

If y = 3, total earning = 20 + 3*6 = 38
I know that this week he earned more than twice of last week. So if he sold 3 bikes this week, he must have earned less than $19 last week. But last week he MUST have earned at least $20, right? That is his fixed salary. This is the reason y cannot be 3 or less. It MSUT be more than 3.
We don't assume that x is 0. We say that even if x = 0, his last week's salary cannot be $19. This means he sold at least 4 bikes this week.
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 17 Feb 2016, 02:54
2
Sunil01 wrote:
VeritasPrepKarishma wrote:
Sunil01 wrote:
Hi Karishma and Bunuel,

In order to prove the third statement 1.e y>3, you are assuming x=0.
Is this allowed to assume x=0.

Thanks & regards,
Sunil01


So we need to figure out whether y must be greater than 3. So I think to myself - what is so great about y = 3 that it cannot happen while y = 4 can probably happen?
That is why I put y = 3 and see the numbers I get.

If y = 3, total earning = 20 + 3*6 = 38
I know that this week he earned more than twice of last week. So if he sold 3 bikes this week, he must have earned less than $19 last week. But last week he MUST have earned at least $20, right? That is his fixed salary. This is the reason y cannot be 3 or less. It MSUT be more than 3.
We don't assume that x is 0. We say that even if x = 0, his last week's salary cannot be $19. This means he sold at least 4 bikes this week.


Nicely explained thanks Karishma :)


Hi,
although the explanation is almost same as a post above this explanation, but since you did not understand my English, I got to start looking into my Verbal :wink: :wink: ..
Kidding... Till the time you are learning, its ok, and I am sure none is contributing for appreciation.
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 10 Jul 2016, 02:11
I got this as the last qn (7#) or one before last .. Is it better to mark last 3-4 qns randomly when the time left is around 3 minutes or attend a qn or two properly in those three minutes and and leave the last 1/2 qn ? Experts pls advise.
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 11 Jul 2016, 22:59
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target760gmat wrote:
I got this as the last qn (7#) or one before last .. Is it better to mark last 3-4 qns randomly when the time left is around 3 minutes or attend a qn or two properly in those three minutes and and leave the last 1/2 qn ? Experts pls advise.


If you are left with just a few mins with 3-4 questions in hand, try to give a quick shot to each. Read the question stem and you might be able to narrow down the choices based on some simple logic. Take a guess out of those and move on. It increases the probability of a correct answer. Don't leave 1-2 questions unanswered at the end. Try to take a smart guess.
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 01 Jul 2017, 08:28
mbaiseasy wrote:
Test the inequalities:
I. \(y>2x\)
Let x = 1 bicycle; Earnings: 26 dollars
Let y = 3 bicylce; Earnings: 38 dollars
Is 38 more than twice of 26? NO!
II. \(y > x\)
Surely, there must be more bicycles sold in the second week. Always true! YES!
III. y>3
Testing I, we found that when y = 3 and x = 1, we still couldn't achieve the condition that the second week's earning is more than twice the first. Therefore, y must be greater than 3. YES!

Answer: D



So it means we are sure that no sales no salary?
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As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 25 Aug 2017, 08:11
Hi - i did the following but not able to get option 1 ...experts please let me know why this is wrong

2* Money earned last week = Money earned this week

2* (x+20) = (y +20)

2x + 40 = y + 20

2x + 20 = y

With this algebraic equation, obviously 2 and 3 have to be right

But per this algebraic equation, even 1 has to be right as the equation is 2x + 20 = y ....so Y has to go above and beyond 2x for the algebraic equation to hold true .... hence i selected 1 also ...

Please let me know where am i going wrong ..

Thank you !
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink]

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New post 15 Feb 2018, 13:00
Hi All,

This Roman Numeral question can be solved with "brute force"; let's map out the possibilities and look for patterns. Based on the given information, here's a table of how much money Norman would make (based on the number of bikes sold):

Bikes = Money
0 = 20

1 = 26
2 = 32
3 = 38
4 = 44
5 = 50
6 = 56

7 = 68
8 = 80
9 = 92
10 = 104
11 = 116
12 = 128

13 = 144
14 = 162
Etc. ($18 per additional bike)

We're told that Norman sold X bicycles last week and Y bicycles this week. We also know that he earned MORE THAN TWICE the money he earned in the prior week, so we have to use THAT fact to evaluate what the possibilities could be (within the table).

II. Y > X

Roman Numeral II is easiest, so we'll start there. Since Norman earned MORE MONEY, he had to have sold MORE bicycles. Thus Y MUST be greater than X.
Roman Numeral II is TRUE.

III. Y > 3

Here, we can look at the "top" of the table and talk through the possibilities.

If last week, Norman sold ___ bikes, then how many would he need to have sold this week, at the MINIMUM, to make MORE than twice the money?
0 bikes….4 or more bikes were sold
1 bike…..6 or more bikes were sold

The second number will just get bigger and bigger. This proves that Y MUST be greater than 3.
Roman Numeral III is TRUE.

I. Y > 2X

For this Roman Numeral, we can continue the work that we did in Roman Numeral II; we have to look to see whether Y is ALWAYS greater than 2X or not…

2 bikes….7 or more bikes were sold
3 bikes….8 or more bikes were sold
4 bikes….9 or more bikes were sold
At this point, notice the ratio of Y to X is getting smaller….?
5 bikes…10 or more bikes were sold.

This last example PROVES that Y isn't always greater than 2X.
Roman Numeral I is NOT ALWAYS TRUE.

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Re: As a bicycle salesperson, Norman earns a fixed salary of $20   [#permalink] 15 Feb 2018, 13:00

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