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If x is an integer, does the decimal expression of the fraction x/8 ha

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If x is an integer, does the decimal expression of the fraction x/8 ha  [#permalink]

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New post 23 Sep 2016, 04:07
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If x is an integer, does the decimal expression of the fraction x/8 have more than 3 non-zero digits?

(1) x is a digit
(2) x ≠ 9

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Re: If x is an integer, does the decimal expression of the fraction x/8 ha  [#permalink]

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New post 23 Sep 2016, 10:35
X is a digit means x can be 0 to 9

statement 1 is insufficient because 9/8 = 1.125. every other fraction would be 3 digits 9/8 is 4 digits.

Statement 2 we know that x is not 9 but it could be 10 or 11 so insufficient

When we combine the two we get x is 0 to 8 so sufficient

Answer c
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Re: If x is an integer, does the decimal expression of the fraction x/8 ha  [#permalink]

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New post 25 Oct 2016, 21:02
This is a great question. At first I answered E but upon thinking I've realized that since I misinterpret the question that was why I got it wrong.

The question asked for does X/8 has MORE THAN 3 non-zero decimals and I interpreted it as does X/8 has ONLY 3 non-zero decimals. My key takeaway is read the damn question carefully.

First statement:
x is a digit. This means X could range from 0 until 9.

From 0 - 8, there are LESS THAN OR EQUAL to 3 non-zero digit numbers.
Quote:
0.125, 0.25, 0.375, 0.5, 0.875, 1


On the other hand 9 would result in 1.125.

Therefore the first statement does not give us enough information to determine whether the number of non-digit decimals is more than 3.

Second statement:

X does not equal to 9. This statement absolutely tells us nothing. X can be 1 and it will be 3 and X can be 9 and it will be more than 3.

Combining statements:

Since the statement forces us to investigate only the numbers 0 - 8 and not 9, we can conclude that the number of non-zero digits will not GO BEYOND 3.

Great question!!
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Re: If x is an integer, does the decimal expression of the fraction x/8 ha  [#permalink]

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New post 23 Feb 2017, 05:58
Prompt analysis
X is an integer.

Superset
The answer will be either YES or NO

Translation
In order to find the answer, we need:
1# the exact value of x
2# some property of x

Statement analysis

St 1: x is a digit. X could be 4, 5, 8 for which the decimal part, when x is divided by 8, will be 0.5, 0.625 and 0 respectively. INSUFFICIENT

St 2: x =9, x/8 =1.125. Three digit. ANSWER

Option B
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Re: If x is an integer, does the decimal expression of the fraction x/8 ha  [#permalink]

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New post 27 Feb 2018, 15:56
Answers above seem a bit weird so:

Statement 1):
X can be anything from 0-9, all values have 3 or less digits except for 9 which would be 1.125 (9/8) so this statement alone is insufficient

Statement 2):
X just can't be 9 so it could be 1 in which case the value would have less than 3 digits or it could be 17 in which case it would be 2.125 (17/8) which would also be insufficient

At this point just C and E are left and since Statement 2 satisfies the one caveat in Statement 1, the answer is C.
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Re: If x is an integer, does the decimal expression of the fraction x/8 ha   [#permalink] 27 Feb 2018, 15:56
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