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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] New post 05 Oct 2010, 06:58
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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??
[Reveal] Spoiler: OA
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Re: Is OA wrong? [#permalink] New post 05 Oct 2010, 07:10
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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.

Answer: D.

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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Re: Is OA wrong? [#permalink] New post 05 Oct 2010, 07:23
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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Re: Is OA wrong? [#permalink] New post 05 Oct 2010, 07:29
Expert's post
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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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Is OA wrong? [#permalink] New post 05 Oct 2010, 12:00
Oh my GOD....
This is first time i have paid attention to this term thousands and thousanths
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Re: Hundredth Digit of Decimal D [#permalink] New post 09 Jan 2012, 22:01
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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] New post 24 Feb 2012, 22:51
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everything is clear..great explanation..like always
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Re: Is OA wrong? [#permalink] New post 12 May 2013, 01:13
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.

Answer: D.

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 ?

Thanks in advance.
Regardsi
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Re: Is OA wrong? [#permalink] New post 12 May 2013, 01:22
Expert's post
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.

Answer: D.

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 ?

Thanks in advance.
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).
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Is OA wrong?   [#permalink] 12 May 2013, 01:22
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