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# Which digit is at the [b]hundredth[/b] place of a positive number X?

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DS Forum Moderator
Joined: 22 Aug 2013
Posts: 889
Location: India
Which digit is at the [b]hundredth[/b] place of a positive number X? [#permalink]

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07 Mar 2018, 03:15
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Difficulty:

55% (hard)

Question Stats:

44% (01:37) correct 56% (01:06) wrong based on 16 sessions

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Which digit is at the hundredth place of a positive number X?

(1) Y = 10*X, and when Y is rounded off to nearest tenth the result is 2176.5

(2) Z = X/10, and when Z is rounded off to nearest hundredth the result is 21.76
[Reveal] Spoiler: OA
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1003
Location: India
GPA: 3.82
Which digit is at the [b]hundredth[/b] place of a positive number X? [#permalink]

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07 Mar 2018, 10:26
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amanvermagmat wrote:
Which digit is at the hundredth place of a positive number X?

(1) Y = 10*X, and when Y is rounded off to nearest tenth the result is 2176.5

(2) Z = X/10, and when Z is rounded off to nearest hundredth the result is 21.76

Statement 1: $$y=10x =>x=\frac{y}{10}$$

therefore, $$x=\frac{2176.5}{10}=217.65$$

Now the hundredths digit $$5$$ is a rounded off digit so the original hundredths digit could be $$4$$ or $$5$$. Insufficient

Statement 2: $$z=\frac{x}{10}=>x=10z$$

therefore, $$x=21.76*10=217.6$$. From this we have no idea about hundredths digit. Insufficient

Combining 1 & 2: we get two values of hundredths digit $$4$$ or $$5$$. Hence Insufficient

Option E
Which digit is at the [b]hundredth[/b] place of a positive number X?   [#permalink] 07 Mar 2018, 10:26
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# Which digit is at the [b]hundredth[/b] place of a positive number X?

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