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# If t denotes the thousandths digit in the decimal

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Manager
Joined: 26 Jun 2007
Posts: 102
If t denotes the thousandths digit in the decimal  [#permalink]

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17 Jan 2008, 06:27
2
4
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Difficulty:

5% (low)

Question Stats:

87% (00:57) correct 13% (01:03) wrong based on 305 sessions

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d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44
(2) If d were rounded to the nearest thousandth, the result would be 0.436
Director
Joined: 12 Jul 2007
Posts: 843

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17 Jan 2008, 06:32
1
1. tells us that t = 5,6,7,8 or 9 INSUFFICIENT
2. tells us that t = 5 SUFFICIENT

Intern
Joined: 17 Jun 2012
Posts: 4
Re: d = 0.43t7 If t denotes the thousandths digit in the decimal  [#permalink]

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13 Jul 2012, 16:46
Just a query- is 5 rounded up or down? Or is it left as it is?

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 51121
Re: d = 0.43t7 If t denotes the thousandths digit in the decimal  [#permalink]

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13 Jul 2012, 17:11
amit82 wrote:
Just a query- is 5 rounded up or down? Or is it left as it is?

Posted from my mobile device

If the first dropped digit is 5 (or greater), ROUND UP the last digit that you keep.

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.

For more check Number Theory chapter of Math Book: http://gmatclub.com/forum/math-number-theory-88376.html

d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that $$t\geq{5}$$. Not sufficient.
(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then $$t$$ was rounded up to become 6, hence $$t=5$$. Sufficient.

Hope it's clear.
_________________
Intern
Joined: 17 Jun 2012
Posts: 4
Re: If t denotes the thousandths digit in the decimal  [#permalink]

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14 Jul 2012, 05:39
yessss....it's absolutely clear... Thanks a lot...

Posted from my mobile device
Manager
Joined: 05 Nov 2012
Posts: 149
Re: d = 0.43t7 If t denotes the thousandths digit in the decimal  [#permalink]

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28 Nov 2012, 10:37
Bunuel wrote:
amit82 wrote:
Just a query- is 5 rounded up or down? Or is it left as it is?

Posted from my mobile device

If the first dropped digit is 5 (or greater), ROUND UP the last digit that you keep.

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.

For more check Number Theory chapter of Math Book: http://gmatclub.com/forum/math-number-theory-88376.html

d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that $$t\geq{5}$$. Not sufficient.
(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then $$t$$ was rounded up to become 6, hence $$t=5$$. Sufficient.

Hope it's clear.

I agree with your answer but... for bold above... t can also take a value of 4 right? because we got a 7....
Math Expert
Joined: 02 Sep 2009
Posts: 51121
Re: d = 0.43t7 If t denotes the thousandths digit in the decimal  [#permalink]

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29 Nov 2012, 03:26
Amateur wrote:
Bunuel wrote:
amit82 wrote:
Just a query- is 5 rounded up or down? Or is it left as it is?

Posted from my mobile device

If the first dropped digit is 5 (or greater), ROUND UP the last digit that you keep.

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.

For more check Number Theory chapter of Math Book: http://gmatclub.com/forum/math-number-theory-88376.html

d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that $$t\geq{5}$$. Not sufficient.
(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then $$t$$ was rounded up to become 6, hence $$t=5$$. Sufficient.

Hope it's clear.

I agree with your answer but... for bold above... t can also take a value of 4 right? because we got a 7....

No, that's not correct. When we are rounding to the nearest hundredth, only thousandth digit matters since it's the first dropped digit (check example in my previous post).

Thus, 0.43t7 rounded to the nearest hundredth to be 0.44, t must be more than or equal to 5.

Hope it's clear.
_________________
Manager
Joined: 05 Nov 2012
Posts: 149
Re: If t denotes the thousandths digit in the decimal  [#permalink]

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29 Nov 2012, 11:34
yup, I thought we need to round off 7 first and then the thousandth digit to round hundredth.... the process which you said, is it just employed in GMAT or in general too? thanks for clarifying....
Math Expert
Joined: 02 Sep 2009
Posts: 51121
Re: If t denotes the thousandths digit in the decimal  [#permalink]

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30 Nov 2012, 03:03
Amateur wrote:
yup, I thought we need to round off 7 first and then the thousandth digit to round hundredth.... the process which you said, is it just employed in GMAT or in general too? thanks for clarifying....

This is a general rule, not only for the GMAT.
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Director
Joined: 02 Sep 2016
Posts: 682
Re: If t denotes the thousandths digit in the decimal  [#permalink]

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01 Apr 2017, 09:35
GGUY wrote:
d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44
(2) If d were rounded to the nearest thousandth, the result would be 0.436

d=0.43t7

(1) Nearest hundredth (3)
We know that 1 got added to 3. Therefore t is greater than or equal to 5.
But no unique value for t.

Insufficient.

BCE

(2) Nearest thousandth (t)

The digit to the right of t is greater than 5, thus when we round the value to the thousandth place we add 1 to t. Therefore t is 5.
Sufficient.
B
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Joined: 09 Sep 2013
Posts: 9129
Re: If t denotes the thousandths digit in the decimal  [#permalink]

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16 Jul 2018, 06:28
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Re: If t denotes the thousandths digit in the decimal &nbs [#permalink] 16 Jul 2018, 06:28
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# If t denotes the thousandths digit in the decimal

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