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What will be the thousands digit of the integer Q [#permalink]

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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

Re: What will be the thousands digit of the integer Q [#permalink]

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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.

Re: What will be the thousands digit of the integer Q [#permalink]

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27 Nov 2016, 10:06

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Re: What will be the thousands digit of the integer Q [#permalink]

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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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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.

Re: What will be the thousands digit of the integer Q [#permalink]

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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.