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What is the value of 47.xy9 when it is rounded to the nearest integer?

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What is the value of 47.xy9 when it is rounded to the nearest integer? [#permalink]

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New post 10 Aug 2017, 20:30
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What is the value of 47.xy9 when it is rounded to the nearest integer? It is also known that x > y

(1) The sum of x and y is 6

(2) The product of x and y is 5.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 10 Aug 2017, 21:57, edited 1 time in total.
Renamed the topic and edited the question.

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Re: What is the value of 47.xy9 when it is rounded to the nearest integer? [#permalink]

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New post 10 Aug 2017, 20:37
If the value of x is less than 5, then after rounding the value will be 47,
but if the value if x is more than 4 then after rounding the value will be 48.

As per the given condition x > y. Hence x cannot take the value of 0.

Statement 1: The sum of x and y is 6

Three cases are possible

(i) x,y = 6,0 --> Value after rounding is 48
(ii) x,y = 5,1 --> Value after rounding is 48
(iii) x,y = 4,2 --> Value after rounding is 47

As we see multiple cases, this statement is not sufficient.

Statement 2: The product of x and y is 5.

As we know x>y, the only possible case is x,y = 5,1. So after rounding the value is 48.

Statement 2 is sufficient.

Answer is B

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Re: What is the value of 47.xy9 when it is rounded to the nearest integer? [#permalink]

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New post 10 Aug 2017, 21:59
fitzpratik wrote:
What is the value of 47.xy9 when it is rounded to the nearest integer? It is also known that x > y

(1) The sum of x and y is 6

(2) The product of x and y is 5.


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Kudos [?]: 124142 [0], given: 12072

Re: What is the value of 47.xy9 when it is rounded to the nearest integer?   [#permalink] 10 Aug 2017, 21:59
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