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Is the hundredths digit of the decimal d greater than 5? [#permalink]
05 Oct 2010, 06:58

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69% (02:06) correct
31% (00:43) wrong based on 315 sessions

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.

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). _________________

Re: Is the hundredths digit of the decimal d greater than 5? [#permalink]
28 Aug 2014, 04:50

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 greater than 5? [#permalink]
12 Nov 2014, 00:56

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.

gmatclubot

Re: Is the hundredths digit of the decimal d greater than 5?
[#permalink]
12 Nov 2014, 00:56

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