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# If 0 < a < 1, is the tenths digit of a equal to 6?

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Math Expert
Joined: 02 Sep 2009
Posts: 43894
If 0 < a < 1, is the tenths digit of a equal to 6? [#permalink]

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14 Jan 2018, 05:11
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Difficulty:

55% (hard)

Question Stats:

41% (01:16) correct 59% (01:10) wrong based on 16 sessions

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If 0 < a < 1, is the tenths digit of a equal to 6?

(1) a + 0.41 > 1
(2) a + 0.39 < 1
[Reveal] Spoiler: OA

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If 0 < a < 1, is the tenths digit of a equal to 6? [#permalink]

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14 Jan 2018, 06:22
Bunuel wrote:
If 0 < a < 1, is the tenths digit of a equal to 6?

(1) a + 0.41 > 1
(2) a + 0.39 < 1

Statement 1: $$a+0.41>1 =>a>1-0.41=>a>0.59$$

but $$a$$ can be $$0.6$$ or $$0.7$$. Insufficient

Statement 2: $$a+0.39<1=>a<1-0.39=>a<0.61$$

but $$a$$ can be $$0.6$$ or $$0.5$$. Insufficient

Combining 1 & 2: we have $$0.59<a<0.61$$

But $$a$$ can be $$0.591$$ or $$0.6$$. Insufficient

Option E
If 0 < a < 1, is the tenths digit of a equal to 6?   [#permalink] 14 Jan 2018, 06:22
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