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Is the hundredths digit of the decimal d greater than 5? [#permalink]
 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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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 point5 - TENTHS 6 - HUNDREDTHS 7 - THOUSANDTHS Similar questions: tens-digit-101570.html?hilit=decimal%20hundredths#p787863arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510gmat-prep-ds-93374.html?hilit=decimal%20hundredthshundreth-digit-101957.html?hilit=decimal%20hundredths#p791277Hope it helps.
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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
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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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Re: Hundredth Digit of Decimal D [#permalink]
09 Jan 2012, 23:01
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]
24 Feb 2012, 23:51
everything is clear..great explanation..like always
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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. Answer: D. Note: 1234.567 1 - THOUSANDS 2 - HUNDREDS 3 - TENS 4 - UNITS . - decimal point5 - TENTHS 6 - HUNDREDTHS 7 - THOUSANDTHS Similar questions: tens-digit-101570.html?hilit=decimal%20hundredths#p787863arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510gmat-prep-ds-93374.html?hilit=decimal%20hundredthshundreth-digit-101957.html?hilit=decimal%20hundredths#p791277Hope 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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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 point5 - TENTHS 6 - HUNDREDTHS 7 - THOUSANDTHS Similar questions: tens-digit-101570.html?hilit=decimal%20hundredths#p787863arithmetic-ds-101455.html?hilit=decimal%20hundredths#p786226geometry-and-number-property-problems-99281.html?hilit=decimal%20hundredths#p765373help-solve-me-this-88400.html?hilit=decimal%20hundredths#p722510gmat-prep-ds-93374.html?hilit=decimal%20hundredthshundreth-digit-101957.html?hilit=decimal%20hundredths#p791277Hope 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).
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