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What will be the thousands digit of the integer Q

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GMATBaumgartner
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What will be the thousands digit of the integer Q [#permalink] New post  27 Oct 2012, 01:58
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What will be the thousands digit of the integer Q, given that the thousands digit is a prime number?
(1) Q = 24× 32× 53× 132
(2) Q when rounded off to the nearest ten thousands is 3040000
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Re: What will be the thousands digit of the integer Q [#permalink] New post  28 Oct 2012, 01:12
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GMATBaumgartner wrote:
What will be the thousands digit of the integer Q, given that the thousands digit is a prime number?
(1) Q = 24× 32× 53× 132
(2) Q when rounded off to the nearest ten thousands is 3040000


This one is actually pretty straight forward if you dont get into dirty calculations :)

from question we want thousands digit of Q.

Stem 1 , it gives what Q is - whatever be the result of calculation we would have a final number from which we can tell the thousands digit. Sufficient.

Stem 2, it says when Q is rounded off to nearest ten thousand it is 3040000 . Remember we dont have Q yet. From this statement thousand digit could be anything from 0-9 (0-4 will round down to this number 5-9 will round up to this number). Clearly insufficient.

Hence Ans is A.

Hope it helps.
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Re: What will be the thousands digit of the integer Q [#permalink] New post  27 Nov 2016, 13:57
GMATBaumgartner wrote:
What will be the thousands digit of the integer Q, given that the thousands digit is a prime number?
(1) Q = 24× 32× 53× 132
(2) Q when rounded off to the nearest ten thousands is 3040000


FROM STATEMENT - I ( SUFFICIENT )

By actual calculation we can find the Thousannds digit.

FROM STATEMENT - II ( INSUFFICIENT )

3041000 ~ 3040000
3043000 ~ 3040000

Thus we can have more than one value , so this statement is not sufficient...

So, Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked, answer will be (A)
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Re: What will be the thousands digit of the integer Q [#permalink] New post  12 Sep 2017, 05:50
Hi Bunuel , I need your help -
From where can I learn about the Round-off concept is detail.

Thanks & Regards,
Akash
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Re: What will be the thousands digit of the integer Q [#permalink] New post  12 Sep 2017, 05:52
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DAakash7 wrote:
Hi Bunuel , I need your help -
From where can I learn about the Round-off concept is detail.

Thanks & Regards,
Akash


Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

So, according to the above 8.35y rounded to the nearest tenth will be 8.4 irrespective of the value of y.

For mote on this check the following posts:
Math: Number Theory
Rounding Rules on the GMAT: Slip to the Side and Look for a Five!

For all other subject check the following posts:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
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Re: What will be the thousands digit of the integer Q [#permalink] New post  12 Sep 2017, 05:56
Bunuel wrote:
DAakash7 wrote:
Hi Bunuel , I need your help -
From where can I learn about the Round-off concept is detail.

Thanks & Regards,
Akash


Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

So, according to the above 8.35y rounded to the nearest tenth will be 8.4 irrespective of the value of y.

For mote on this check the following posts:
Math: Number Theory
Rounding Rules on the GMAT: Slip to the Side and Look for a Five!

For all other subject check the following posts:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.


Thanks a lot for your help Bunuel - I will refer the section.

Regards,
Akash
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Re: What will be the thousands digit of the integer Q [#permalink] New post  29 Nov 2022, 02:56
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Re: What will be the thousands digit of the integer Q [#permalink]
29 Nov 2022, 02:56
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