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Before noon on Wednesday,there was a certain number of hex nuts in a b

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Before noon on Wednesday,there was a certain number of hex nuts in a b  [#permalink]

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New post 14 Nov 2018, 04:25
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Before noon on Wednesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?

5100
5200
5400
5500
5600

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Re: Before noon on Wednesday,there was a certain number of hex nuts in a b  [#permalink]

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New post 14 Nov 2018, 05:10
x * 130/100 = k
or x = k * 100/130

check the options for the number divisible by 130.

Ans B
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Re: Before noon on Wednesday,there was a certain number of hex nuts in a b  [#permalink]

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New post 16 Nov 2018, 03:45
sahilkak wrote:
Before noon on Wednesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?

5100
5200
5400
5500
5600



Let before noon the hex nuts be 100.

After delivery nuts increased to 130.

Therefore total no. of nuts must be divisible by 130.

Option B Matches.
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Re: Before noon on Wednesday,there was a certain number of hex nuts in a b  [#permalink]

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New post 03 Aug 2019, 07:17
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sahilkak wrote:
Before noon on Wednesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?

5100
5200
5400
5500
5600


Let x = number of nuts BEFORE noon
So, x + (30% of x) =number of nuts AFTER noon
In other words, 1.3x = number of nuts AFTER noon

Now check the answer choices.....
A. 5100
This means 1.3x = 5100
If we divide both sides by 1.3, we get: x = 5100/1.3 = 3923.0769...
This means there were 3923.0769... hex nuts BEFORE noon.
Since the number of hex nuts must be a positive INTEGER, answer choice A is no good.

NOTE: The correct answer must be divisible by 1.3

Scan the answers......
B. 5200 = 13 x 400
So, 5200/1.3 = 4000 (a positive integer)
PERFECT!!

Answer: B

Cheers,
Brent
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Re: Before noon on Wednesday,there was a certain number of hex nuts in a b  [#permalink]

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New post 11 Aug 2019, 19:31
sahilkak wrote:
Before noon on Wednesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?

5100
5200
5400
5500
5600


If there were x hex nuts before the delivery, then there are 1.3x hex nuts after the delivery. Of all the numbers in the answer choices, only 5200 will make x an integer when 1.3x is set equal to:

1.3x = 5200

x = 5200/1.3 = 4000

Answer: B
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Re: Before noon on Wednesday,there was a certain number of hex nuts in a b   [#permalink] 11 Aug 2019, 19:31
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