Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 26 Jun 2007
Posts: 104

If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
17 Jan 2008, 07:27
Question Stats:
86% (00:39) correct 14% (00:49) wrong based on 272 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.



Director
Joined: 12 Jul 2007
Posts: 854

Re: DS, digits rounding [#permalink]
Show Tags
17 Jan 2008, 07:32
1. tells us that t = 5,6,7,8 or 9 INSUFFICIENT 2. tells us that t = 5 SUFFICIENT
Answer B



Intern
Joined: 17 Jun 2012
Posts: 8

Re: d = 0.43t7 If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
13 Jul 2012, 17:46
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: 46167

Re: d = 0.43t7 If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
13 Jul 2012, 18:11
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/mathnumbertheory88376.htmld = 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. Answer: B. Hope it's clear.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 17 Jun 2012
Posts: 8

Re: If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
14 Jul 2012, 06:39
yessss....it's absolutely clear... Thanks a lot...
Posted from my mobile device



Manager
Joined: 05 Nov 2012
Posts: 153

Re: d = 0.43t7 If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
28 Nov 2012, 11:37
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/mathnumbertheory88376.htmld = 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. Answer: B. 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: 46167

Re: d = 0.43t7 If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
29 Nov 2012, 04:26
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/mathnumbertheory88376.htmld = 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. Answer: B. 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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 05 Nov 2012
Posts: 153

Re: If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
29 Nov 2012, 12:34
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: 46167

Re: If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
30 Nov 2012, 04:03



Director
Joined: 02 Sep 2016
Posts: 744

Re: If t denotes the thousandths digit in the decimal [#permalink]
Show Tags
01 Apr 2017, 10:35
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=0.43 t7 (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




Re: If t denotes the thousandths digit in the decimal
[#permalink]
01 Apr 2017, 10:35






