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# Is the hundredths digit of the decimal d greater than 5?

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Is the hundredths digit of the decimal d greater than 5? [#permalink]

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05 Oct 2010, 07:58
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Is the hundredths digit of the decimal d greater than 5?

(1) The tenths digit of 10d is 7
(2) The thousandths digit of d/10 is 7

My question is are we supposed to think that when it is said decimal it in the form of 0.xyzabc....???
I want to know if i can say 1000.2394879324 a decimal....

Can someone clarify??
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05 Oct 2010, 08:10
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amitjash wrote:
Is the hundredth digit of decimal d greater than 5?
1. The 10th digit of 10d is 7
2. the thousandth digit of d/10 is 7

My question is are we supposed to think that when it is said decimal it in the form of 0.xyzabc....???
I want to know if i can say 1000.2394879324 a decimal....

Can someone clarify??

d can be any number, so it's not necessary to be of the form 0.12345, it can be 12345.12345 or any other real number in decimal representation. But for this particular question it really doesn't matter so we can take d to be $$a.bc$$ (it does not matter how many numbers are before decimal point or after hundredth digit).

Is $$c>5$$?

(1) The tenths digit of 10d is 7 --> $$10d=ab.c$$ --> tenth digit of $$10d$$ is $$c$$, so $$c=7>5$$. Sufficient.
(2) The thousandths digit of d/10 is 7 --> $$\frac{d}{10}=0.abc$$ --> thousandth digit of $$\frac{10}{d}$$ is $$c$$, so $$c=7>5$$. Sufficient.

Note:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Similar questions:
tens-digit-101570.html?hilit=decimal%20hundredths#p787863
arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226
geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373
help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510
gmat-prep-ds-93374.html?hilit=decimal%20hundredths
hundreth-digit-101957.html?hilit=decimal%20hundredths#p791277

Hope it helps.
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05 Oct 2010, 08:23
Thanks bunuel,
But what if the decimal
d=72121.212121
d/10 = 7212.12121
in this case with statement 2, the thousands digit is 7 but that information is not enough to find out the hundredth digit... please correct me where i am wrong...
Thank you very much for the reply

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05 Oct 2010, 08:29
amitjash wrote:
Thanks bunuel,
But what if the decimal
d=72121.212121
d/10 = 7212.12121
in this case with statement 2, the thousands digit is 7 but that information is not enough to find out the hundredth digit... please correct me where i am wrong...
Thank you very much for the reply

Is the hundredth digit of decimal d greater than 5?
(1) The tenths digit of 10d is 7
(2) the thousandths digit of d/10 is 7

There is a difference between THOUSANDS and THOUSANDTHS.

1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
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05 Oct 2010, 13:00
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Oh my GOD....
This is first time i have paid attention to this term thousands and thousanths

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Is the hundredths digit of the decimal d great than 5? 1) [#permalink]

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03 Nov 2011, 18:35
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Is the hundredths digit of the decimal d great than 5?
1) The tenths digit of 10d is 7.
2) The thousandths digit of d/10 is 7.

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Re: Decimal Data Sufficiency Question [#permalink]

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03 Nov 2011, 21:30
In the decimal abcd.xyz, x is the tenths digit, y is the hundredths digit, and z is the thousandths digit.

Once you know how the digits after the decimal point are named this is an easy one.

Statement 1: If the tenths digit of 10d is 7, then the hundredths digit of d is 7, which is more than 5. Sufficient.

Statement 2: The thousandths digit of d/10 is the same as the hundredths digit of d, which is 7 and more than 5. Sufficient.

(D) it is.
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Re: Decimal Data Sufficiency Question [#permalink]

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04 Nov 2011, 07:03
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Its D because you can use any number as sample:

Lets say you have .456; then .456*10= 4.56 then 5 has to be the hundredths digit before the multiplication. In the questions problem the 5 is actually a 7. (1) sufficient.

In the same way, 3.456/ 10 = .3456; thus the former hundredths digit is now the thousandths digit which is given. (2)(Sufficient)

Thus D.

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Re: Is the hundredths digit of the decimal d great than 5? 1) [#permalink]

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16 Dec 2011, 23:09
Let the number be '0.abc' where a, b and c are the tenths, hundredths and thousandths digits respectively of the number.
d = 0.abc

Statement 1:
10d = a.bc. This statement tells us that b = 7. Thus, in the original number d, b (hundredths digit) is 7. SUFFICIENT.

Statement 2:
d/10 = 0.0abc. This statement tells us again that b = 7. Thus, in the original number d, b (hundredths digit) is 7. SUFFICIENT.

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Re: Hundredth Digit of Decimal D [#permalink]

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09 Jan 2012, 23:01
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Take the number as, d= 0.tHT, where t= tens digit, H= Hundred's digit, and T= Thousand's digit.

We need to find weather H is greater than 5

Now, 1) 10d= t.HT, ten's digit for this number = H= 7, which is greater than 5.

2) d by 10 = 0.0tHT, thousand's digit= H = 7, which is greater than 5.

Hence IMO d

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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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24 Feb 2012, 23:51
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everything is clear..great explanation..like always
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12 May 2013, 02:13
Bunuel wrote:
amitjash wrote:
Is the hundredth digit of decimal d greater than 5?
1. The 10th digit of 10d is 7
2. the thousandth digit of d/10 is 7

My question is are we supposed to think that when it is said decimal it in the form of 0.xyzabc....???
I want to know if i can say 1000.2394879324 a decimal....

Can someone clarify??

d can be any number, so it's not necessary to be of the form 0.12345, it can be 12345.12345 or any other real number in decimal representation. But for this particular question it really doesn't matter so we can take d to be $$a.bc$$ (it does not matter how many numbers are before decimal point or after hundredth digit).

Is $$c>5$$?

(1) The tenths digit of 10d is 7 --> $$10d=ab.c$$ --> tenth digit of $$10d$$ is $$c$$, so $$c=7>5$$. Sufficient.
(2) The thousandths digit of d/10 is 7 --> $$\frac{d}{10}=0.abc$$ --> thousandth digit of $$\frac{10}{d}$$ is $$c$$, so $$c=7>5$$. Sufficient.

Note:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Similar questions:
tens-digit-101570.html?hilit=decimal%20hundredths#p787863
arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226
geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373
help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510
gmat-prep-ds-93374.html?hilit=decimal%20hundredths
hundreth-digit-101957.html?hilit=decimal%20hundredths#p791277

Hope it helps.

Hi banuel,

you posted in 1234.567, 5 = 10 th digit. Will you please explain. Is it not unit digit ?

Regardsi
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12 May 2013, 02:22
kabilank87 wrote:
Bunuel wrote:
amitjash wrote:
Is the hundredth digit of decimal d greater than 5?
1. The 10th digit of 10d is 7
2. the thousandth digit of d/10 is 7

My question is are we supposed to think that when it is said decimal it in the form of 0.xyzabc....???
I want to know if i can say 1000.2394879324 a decimal....

Can someone clarify??

d can be any number, so it's not necessary to be of the form 0.12345, it can be 12345.12345 or any other real number in decimal representation. But for this particular question it really doesn't matter so we can take d to be $$a.bc$$ (it does not matter how many numbers are before decimal point or after hundredth digit).

Is $$c>5$$?

(1) The tenths digit of 10d is 7 --> $$10d=ab.c$$ --> tenth digit of $$10d$$ is $$c$$, so $$c=7>5$$. Sufficient.
(2) The thousandths digit of d/10 is 7 --> $$\frac{d}{10}=0.abc$$ --> thousandth digit of $$\frac{10}{d}$$ is $$c$$, so $$c=7>5$$. Sufficient.

Note:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Similar questions:
tens-digit-101570.html?hilit=decimal%20hundredths#p787863
arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226
geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373
help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510
gmat-prep-ds-93374.html?hilit=decimal%20hundredths
hundreth-digit-101957.html?hilit=decimal%20hundredths#p791277

Hope it helps.

Hi banuel,

you posted in 1234.567, 5 = 10 th digit. Will you please explain. Is it not unit digit ?

Regardsi

Nope. In 1234.567 the units digit is 4 (the first digit to the left of decimal point) and the tenths digit is 5 (the first digit to the right of decimal point).
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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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28 Aug 2014, 05:50
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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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12 Nov 2014, 01:56
Rule- When a number is multiplied by 10 the decimal point moves 1 place right (so what once was hundredth becomes tenth, and what was once hundreds becomes thousands), and when divided by 10 it moves 1 place left, of the point (so what was ones hundredth is now thousandth, and what was once hundreds becomes tens)

The movement of the point to left or right happens for as many places as the power of 10.

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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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15 Nov 2015, 21:25
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Re: Is the hundredths digit of the decimal d great than 5? 1) [#permalink]

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05 Dec 2015, 07:47
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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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06 Dec 2015, 11:39
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Is the hundredths digit of the decimal d great than 5?
1) The tenths digit of 10d is 7.
2) The thousandths digit of d/10 is 7.

There is one variable (d) and 2 equations are given by the conditions, so there is high chance (D) will become the answer.
For condition 1, the hundredth digit of d=7. This is unique and the condition is hence sufficient
For condition 2, the hundredth digit of d=7. This is unique and the condition is hence sufficient
1)=2), and the answer hence becomes (D).

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]

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19 Nov 2016, 01:23
In this question
let d = abc.pqr
we need to check if q>5 or not
statement 1=>
clearly tenths digit of 10d=> tenths digit of abcp.qr =7
hence q=7
sufficient => YES, q>5
statement 2
thousandths digit of d/10 will be => thousandths digit of ab.cpqr=> q
clearly q>5
sufficient again
hence D
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Re: Is the hundredths digit of the decimal d greater than 5?   [#permalink] 19 Nov 2016, 01:23
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