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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....

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.

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

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.

Re: Decimal Data Sufficiency Question [#permalink]

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04 Nov 2011, 07:03

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)

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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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.

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.

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).
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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

Hello from the GMAT Club BumpBot!

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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.

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

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15 Nov 2015, 21:25

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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

Hello from the GMAT Club BumpBot!

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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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