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# If n denotes a decimal, then is n > 0.9? (1) When n is

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Manager
Joined: 20 Nov 2009
Posts: 128
If n denotes a decimal, then is n > 0.9? (1) When n is  [#permalink]

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22 Jul 2010, 12:08
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:05) correct 25% (00:47) wrong based on 43 sessions

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If n denotes a decimal, then is n > 0.9?

(1) When n is rounded to the nearest integer, the result is 1.

(2) When n is rounded to the nearest tenth, the result is 0.9.

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22 Jul 2010, 13:15
1
Statement 1: This basically means that n is >= 0.5 Insufficient.

Statement 2: This is telling you that n is in between 0.85 and 0.94. Insufficient.

Putting both together: Insufficient again.

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Re: If n denotes a decimal, then is n > 0.9? (1) When n is  [#permalink]

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09 Dec 2017, 15:33
Hi All,

We're told that N denotes a decimal. We're asked if N > 0.9 This is a YES/NO question. To answer this question, we need to use 'rounding' rules.

When a digit is 5-9, we round up. For example, 1.7 rounded to the nearest integer would be 2.
When a digit is 0-4, we round down. For example, 1.2 rounded to the nearest integer would be 1.

(1) When N is rounded to the nearest INTEGER, the result is 1.

With this Fact, we have a range of possible values for N:

0.5 <= N < 1.5
IF....
N = .85 then the answer to the question is NO
N = .91 then the answer to the question is YES
Fact 1 is INSUFFICIENT

2) When nN is rounded to the nearest TENTH, the result is 0.9

With this Fact, we have a range of possible values for N:

0.85 <= N < 0.95
IF....
N = .85 then the answer to the question is NO
N = .91 then the answer to the question is YES
Fact 2 is INSUFFICIENT

Combined, we already have 2 values that 'fit' both Facts (.85 gives us a 'NO' answer; .91 gives us a 'YES' answer).
Combined, INSUFFICIENT

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Re: If n denotes a decimal, then is n > 0.9? (1) When n is &nbs [#permalink] 09 Dec 2017, 15:33
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