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# If the digit h is the hundredths’ digit in the decimal number n = 0.3h

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
If the digit h is the hundredths’ digit in the decimal number n = 0.3h  [#permalink]

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26 Sep 2018, 04:34
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Difficulty:

45% (medium)

Question Stats:

59% (01:22) correct 41% (01:30) wrong based on 91 sessions

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If the digit h is the hundredths’ digit in the decimal number n = 0.3h7, what is the value of n rounded to the nearest tenth?

(1) n < 7/20
(2) h < 5

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Re: If the digit h is the hundredths’ digit in the decimal number n = 0.3h  [#permalink]

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26 Sep 2018, 05:41
Bunuel wrote:
If the digit h is the hundredths’ digit in the decimal number n = 0.3h7, what is the value of n rounded to the nearest tenth?

(1) n < 7/20
(2) h < 5

n = 0.3h7
To answer this question we need to know whether digit h is less than 5 or NOT because tenth digit will be rounded up if h≥5 and will remain 3 on rounding off at tenth place if h <5

Question: what is the value of n rounded to the nearest tenth?

Statement 1: n < 7/20
i.e. n < 0.35
i.e. h < 5 for tenth digit to be 3
i.e. rounded off value of n at tenth place = 0.3
SUFFICIENT

Statement 2: h < 5/20
i.e. h < 5 for tenth digit to be 3
i.e. rounded off value of n at tenth place = 0.3
SUFFICIENT

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Joined: 21 May 2013
Posts: 661
If the digit h is the hundredths’ digit in the decimal number n = 0.3h  [#permalink]

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12 Oct 2018, 05:12
Bunuel wrote:
If the digit h is the hundredths’ digit in the decimal number n = 0.3h7, what is the value of n rounded to the nearest tenth?

(1) n < 7/20: Say if n=0.347, then n=0.35 rounded off to 0.4. But if n=0.337, then n=0.34 rounded off to 0.3 Insufficient
(2) h < 5
. Use same example as above.

Bunuel
chetan2u
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: If the digit h is the hundredths’ digit in the decimal number n = 0.3h  [#permalink]

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12 Oct 2018, 05:40
KS15 wrote:
Bunuel wrote:
If the digit h is the hundredths’ digit in the decimal number n = 0.3h7, what is the value of n rounded to the nearest tenth?

(1) n < 7/20: Say if n=0.347, then n=0.35 rounded off to 0.4. But if n=0.337, then n=0.34 rounded off to 0.3 Insufficient
(2) h < 5
. Use same example as above.

Bunuel
chetan2u

Hi..
If n=0.3h7 and you take h as 4, that is 0.347..
0.347 rounded to tenth will depend on just h , that is 4 and not 47
Ans will be 0.3 and not 0.4
You are first rounding to nearest hundredth and then that too nearest tenth, which is NOT correct.
Do the required action in the existing number directly.. so 0.347 means just 0.34 when you are rounding to tenths..
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Joined: 21 May 2013
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Re: If the digit h is the hundredths’ digit in the decimal number n = 0.3h  [#permalink]

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12 Oct 2018, 05:52
chetan2u wrote:
KS15 wrote:
Bunuel wrote:
If the digit h is the hundredths’ digit in the decimal number n = 0.3h7, what is the value of n rounded to the nearest tenth?

(1) n < 7/20: Say if n=0.347, then n=0.35 rounded off to 0.4. But if n=0.337, then n=0.34 rounded off to 0.3 Insufficient
(2) h < 5
. Use same example as above.

Bunuel
chetan2u

Hi..
If n=0.3h7 and you take h as 4, that is 0.347..
0.347 rounded to tenth will depend on just h , that is 4 and not 47
Ans will be 0.3 and not 0.4
You are first rounding to nearest hundredth and then that too nearest tenth, which is NOT correct.
Do the required action in the existing number directly.. so 0.347 means just 0.34 when you are rounding to tenths..

Great-Thanks for clearing my confusion. I am taking this as a rule since you are an expert I presume.
Re: If the digit h is the hundredths’ digit in the decimal number n = 0.3h   [#permalink] 12 Oct 2018, 05:52
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