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Manager  Joined: 17 Mar 2010
Posts: 137
Is the hundredths digit of the decimal d greater than 5?  [#permalink]

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5
23 00:00

Difficulty:   25% (medium)

Question Stats: 72% (01:06) correct 28% (01:33) wrong based on 929 sessions

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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??
Math Expert V
Joined: 02 Sep 2009
Posts: 58037
Re: Is OA wrong?  [#permalink]

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20
7
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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Manager  Joined: 17 Mar 2010
Posts: 137
Re: Is OA wrong?  [#permalink]

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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
Math Expert V
Joined: 02 Sep 2009
Posts: 58037
Re: Is OA wrong?  [#permalink]

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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
_________________
Manager  Joined: 17 Mar 2010
Posts: 137
Re: Is OA wrong?  [#permalink]

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3
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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1
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.
SVP  P
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
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GMAT 1: 780 Q51 V48 GRE 1: Q800 V740 Re: Decimal Data Sufficiency Question  [#permalink]

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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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Manager  Joined: 28 Jul 2011
Posts: 85
Re: Decimal Data Sufficiency Question  [#permalink]

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1
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.
Manager  Joined: 12 Oct 2011
Posts: 159
Re: Is the hundredths digit of the decimal d great than 5? 1)  [#permalink]

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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.

Thus the answer is D.
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Re: Hundredth Digit of Decimal D  [#permalink]

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1
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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everything is clear..great explanation..like always
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Re: Is OA wrong?  [#permalink]

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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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Joined: 02 Sep 2009
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Re: Is OA wrong?  [#permalink]

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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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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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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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GRE 1: Q169 V154 Re: Is the hundredths digit of the decimal d greater than 5?  [#permalink]

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

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Bunuel wrote:

Note:
1234.567

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

Hope it helps.

Hello Bunuel!

If 1 is THOUSANDS,
What is '0' and '-1'?

Also, if 7 is THOUSANDTH,
What is '8' and '9'?

It might be negligible, but I want to know.
Thanks!
Math Expert V
Joined: 02 Sep 2009
Posts: 58037
Re: Is the hundredths digit of the decimal d greater than 5?  [#permalink]

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MrJglass wrote:
Bunuel wrote:

Note:
1234.567

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

Hope it helps.

Hello Bunuel!

If 1 is THOUSANDS,
What is '0' and '-1'?

Also, if 7 is THOUSANDTH,
What is '8' and '9'?

It might be negligible, but I want to know.
Thanks!

Number 1234.567 is given as an example. Before THOUSANDS is TEN THOUSANDS, and after THOUSANDTH is ten thousandth...
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Is the hundredths digit of the decimal d greater than 5?  [#permalink]

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Bunuel wrote:

Number 1234.567 is given as an example. Before THOUSANDS is TEN THOUSANDS, and after THOUSANDTH is ten thousandth...

Thanks, this "Before THOUSANDS is TEN THOUSANDS, and after THOUSANDTH is ten thousandth" was what I needed.
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Re: Is the hundredths digit of the decimal d greater than 5?  [#permalink]

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amitjash wrote:
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??

d = 0.abc is b >5?

1) 10d = a.bc, here b =7, b > 5 so sufficient

2) 0.abc/10 = 0.0abc, here b = 7, b >5 sufficient.

D Re: Is the hundredths digit of the decimal d greater than 5?   [#permalink] 05 Oct 2018, 10:21

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