December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 24 Apr 2010
Posts: 26

In the decimal above, ♣ and x represent single digits. What
[#permalink]
Show Tags
Updated on: 03 Mar 2014, 13:07
Question Stats:
37% (01:38) correct 63% (02:06) wrong based on 275 sessions
HideShow timer Statistics
$7.9♣x7 In the decimal above, ♣ and x represent single digits. What is the value of x ? (1) When the sum is rounded to the nearest cent, its cash value is $7.94. (2) When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by perseverant on 28 May 2010, 14:32.
Last edited by Bunuel on 03 Mar 2014, 13:07, edited 2 times in total.
Added the OA.




CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2595
Location: Malaysia
Concentration: Technology, Entrepreneurship
GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
30 May 2010, 10:15
perseverant wrote: You are right! B is the answer, I understand why statement 1 is insufficient, but I still dont understand why statement 2 is sufficient (2) When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95. $7.9♣x7, when this is rounded to the nearest of tenth of a cent it should have 7._ _ _ three places of decimal. so effectively 7.95 is 7.950 and for the $7.9♣x7 to be 7.950 x must be 9 and ♣ must be 4. $7.9497 > just round this to nearest tenth of a cent you will get 7.950
_________________
Fight for your dreams :For all those who fear from Verbal lets give it a fight
Money Saved is the Money Earned
Jo Bole So Nihaal , Sat Shri Akaal
Support GMAT Club by putting a GMAT Club badge on your blog/Facebook
GMAT Club Premium Membership  big benefits and savings
Gmat test review : http://gmatclub.com/forum/670to710alongjourneywithoutdestinationstillhappy141642.html




CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2595
Location: Malaysia
Concentration: Technology, Entrepreneurship
GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
30 May 2010, 03:03
perseverant wrote: $7.9♣x7
In the decimal above, ♣ and x represent single digits. What is the value of x ?
(1) When the sum is rounded to the nearest cent, its cash value is $7.94.
(2) When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. EITHER statement BY ITSELF is sufficient to answer the question. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
Could someone explain in detail how to solve this? I will post the answer later.
Thanks! IMO B $7.9♣x7 In the decimal above, ♣ and x represent single digits. What is the value of x ? (1) When the sum is rounded to the nearest cent, its cash value is $7.94. When rounded to the nearest cent,the value is 7.94 which means it could be 7.9417 or 7.9367 etc (2) When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95. it is 7.9497 and x =9 as we are here rounding till $7.9♣x and the last 7 will increment x as 7>5 which will in turn increment ♣ by 1
_________________
Fight for your dreams :For all those who fear from Verbal lets give it a fight
Money Saved is the Money Earned
Jo Bole So Nihaal , Sat Shri Akaal
Support GMAT Club by putting a GMAT Club badge on your blog/Facebook
GMAT Club Premium Membership  big benefits and savings
Gmat test review : http://gmatclub.com/forum/670to710alongjourneywithoutdestinationstillhappy141642.html



Intern
Joined: 24 Apr 2010
Posts: 26

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
30 May 2010, 05:16
You are right! B is the answer, I understand why statement 1 is insufficient, but I still dont understand why statement 2 is sufficient



Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 739

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
21 Apr 2011, 22:53
Let us write the number as 7.9ab7 From 2) This has been rounded to 7.950 In that case if the value of "a" is 5 then b is 04. But if the value of "a" is 4 then b is 9. There is no way to determine a single value of b. Hence 2) alone is insufficient.
Pls correct if the reasoning is wrong.
Posted from my mobile device



Retired Moderator
Joined: 16 Nov 2010
Posts: 1425
Location: United States (IN)
Concentration: Strategy, Technology

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
21 Apr 2011, 23:38
What is the meaning of "nearest tenth of a cent" (as given in (2) ) ?
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Retired Moderator
Joined: 20 Dec 2010
Posts: 1820

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
21 Apr 2011, 23:44
subhashghosh wrote: What is the meaning of "nearest tenth of a cent" (as given in (2) ) ? Nearest cent means "nearest tenth' AND nearest tenth of a cent means 'nearest hundredths'.
_________________
~fluke
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 14 Feb 2011
Posts: 175

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
22 Apr 2011, 00:05
gmat1220 wrote: Let us write the number as 7.9ab7 From 2) This has been rounded to 7.950 In that case if the value of "a" is 5 then b is 04. But if the value of "a" is 4 then b is 9. There is no way to determine a single value of b. Hence 2) alone is insufficient.
Pls correct if the reasoning is wrong.
Posted from my mobile device In the scenario highlighted above, the rounded value would be 7.951 to 7.955 depending on b being 04, whereas the stem tells us that value has to be 7.950 which can happen only when a is 4 and b is 9.



Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 739

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
22 Apr 2011, 00:38
Yup I realized it. Thanks for undeceiving me. For the very first time the OA given by Kaplan is wrong.



Manager
Joined: 26 Jul 2010
Posts: 85
Location: India
Concentration: Operations, General Management
GMAT 1: 640 Q48 V29 GMAT 2: 670 Q49 V31
WE: Supply Chain Management (Military & Defense)

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
22 Apr 2011, 02:47
it can also happen when b is 8.
_________________
lets start again



Intern
Joined: 20 Oct 2011
Posts: 6

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
31 Oct 2011, 01:28
kamalkicks wrote: it can also happen when b is 8. +1, it can be 6,7 and 8, why only 9??



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8673
Location: Pune, India

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
02 Nov 2011, 10:15
prekelen wrote: C x=4 I guess what they mean by "cash value" is the exact value only. If cash value is $7.95 and this is rounded to 3 digits after decimal, the rounded value must be 7.950 i.e. the same as the cash value. How will you get 7.950 as the value rounded to the thousandth digit? Only when the number you rounded was 7.9497 (there needs to be a 7 in the ten thousandth position) When you round this to reduce one digit, you increase the rightmost 9 by one to account for the rightmost 7. When you do this, 49 becomes 50 so you get 7.950. If the value was 7.9487, rounded to 3 decimal places, it would be 7.949. This is not the same as 7.95
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Director
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 785
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)

Re: 9 x7 In the decimal above, and x represent single digits.
[#permalink]
Show Tags
10 Aug 2013, 07:11
In this question first of all it is very important to understand the terms " rounded to the nearest cent" and "rounded to the nearest tenth of a cent" Without pre knowledge it is difficult to touch this question, here concept of rounding is not same as general concept of rounding at 10th or 100th place after decimal. I did some googling to understand this concept Cents represents two digits after decimal such as 2.43 >> 2 dollar 43 cents 2.57 >> 2 dollar 57 cents. Sum rounded to the nearest cents means rounding at second digit after decimal. E.g 2.345 = 2.35 E.g 4.553 = 4.55 E.g 5.561 = 5.56 Sum rounded to the nearest tenth of a cents means rounding at digit after cents that is third digit after decimal. 3.34xy round of x as per value of y (here y is 100th place of cent and x is 10th place) E.g 3.5678 = 3.568 7 become 8 E.g 3.5622 = 3.562 truncated last digit bcz it was less than 5. Now back to the question. Statement 2: Rounding to the nearest tenth of the cent is 7.95_ one digit is missing and that should be zero which is not mentioned in question but expected. So we have 7.950 < $7.9♣x7 As 100th digit of the cent is 7 definitely it will add 1 to 10th digit that is x, thus only one digit can yield zero after addition of 1 that is 9. Thus x = 9 and ♣x should be 49 to have final result as 7.950.
_________________
Piyush K
 Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press> Kudos My Articles: 1. WOULD: when to use?  2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".



Manager
Joined: 25 Oct 2013
Posts: 152

Re: In the decimal above, ♣ and x represent single digits...
[#permalink]
Show Tags
03 Feb 2014, 23:12
So the key here is "cash value" which limits rounding possibilities. Thanks for highlighting it Karishma. VeritasPrepKarishma wrote: prekelen wrote: C x=4 I guess what they mean by "cash value" is the exact value only. If cash value is $7.95 and this is rounded to 3 digits after decimal, the rounded value must be 7.950 i.e. the same as the cash value. How will you get 7.950 as the value rounded to the thousandth digit? Only when the number you rounded was 7.9497 (there needs to be a 7 in the ten thousandth position) When you round this to reduce one digit, you increase the rightmost 9 by one to account for the rightmost 7. When you do this, 49 becomes 50 so you get 7.950. If the value was 7.9487, rounded to 3 decimal places, it would be 7.949. This is not the same as 7.95
_________________
Click on Kudos if you liked the post!
Practice makes Perfect.



Intern
Joined: 10 Jan 2014
Posts: 22

In the decimal above, x andy represent single digits. What i
[#permalink]
Show Tags
03 Mar 2014, 12:48
This question is from the KAPLAN quiz bank. $7.9xy7 In the decimal above, x and y represent single digits. What is the value of y ? (1) When the sum is rounded to the nearest cent, its cash value is $7.94. (2) When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95. Please have a look at the first image below for the 'official' solution. I'm having my doubts for the following reasons: statement 2 says that when rounding to the nearest tenth of cent, the cash value is 7.95. Since we know the hundredth of a cent is 7, we know that when rounding to the nearest tenth of a cent we must add +1 to y. since the new cash value is 7.95 or 7.950, the only value for y that would make it 0 after rounding is 9. Why isn't this so? thanks for explaining Max
Attachments
Kaplan_rounding.jpg [ 351.57 KiB  Viewed 3127 times ]



Intern
Joined: 10 Jan 2014
Posts: 22

Re: In the decimal above, ♣ and x represent single digits. What
[#permalink]
Show Tags
03 Mar 2014, 13:17
So my answer (B) was correct afterall.. Perhaps someone from KAPLAN would care to elaborate on why they would include wrong answers in their 199$ Quiz Bank?! I got really nervous after I read the KAPLAN description because I was convinced I had it right..



Intern
Joined: 04 Oct 2013
Posts: 10
Location: United States

Re: 9 x7 In the decimal above, and x represent single digits.
[#permalink]
Show Tags
01 Jun 2014, 09:45
PiyushK wrote: In this question first of all it is very important to understand the terms " rounded to the nearest cent" and "rounded to the nearest tenth of a cent" Without pre knowledge it is difficult to touch this question, here concept of rounding is not same as general concept of rounding at 10th or 100th place after decimal. I did some googling to understand this concept Cents represents two digits after decimal such as 2.43 >> 2 dollar 43 cents 2.57 >> 2 dollar 57 cents. Sum rounded to the nearest cents means rounding at second digit after decimal. E.g 2.345 = 2.35 E.g 4.553 = 4.55 E.g 5.561 = 5.56 Sum rounded to the nearest tenth of a cents means rounding at digit after cents that is third digit after decimal. 3.34xy round of x as per value of y (here y is 100th place of cent and x is 10th place) E.g 3.5678 = 3.568 7 become 8 E.g 3.5622 = 3.562 truncated last digit bcz it was less than 5. Now back to the question. Statement 2: Rounding to the nearest tenth of the cent is 7.95_ one digit is missing and that should be zero which is not mentioned in question but expected. So we have 7.950 < $7.9♣x7 As 100th digit of the cent is 7 definitely it will add 1 to 10th digit that is x, thus only one digit can yield zero after addition of 1 that is 9. Thus x = 9 and ♣x should be 49 to have final result as 7.950. I am trying to go back to statement 1 if it makes sense. So if we say the number is $7.9497 (as per statement 2) then how do we get $7.94 in statement 1? If $7.9497 is rounded to nearest cents then it should be 7.95 also. Shouldn't it? Feels like statement 1 and 2 are contradicting each other... Bunuel please clarify when you get a chance. Thank you.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8673
Location: Pune, India

Re: 9 x7 In the decimal above, and x represent single digits.
[#permalink]
Show Tags
01 Jun 2014, 20:46
khanym wrote: I am trying to go back to statement 1 if it makes sense. So if we say the number is $7.9497 (as per statement 2) then how do we get $7.94 in statement 1? If $7.9497 is rounded to nearest cents then it should be 7.95 also. Shouldn't it? Feels like statement 1 and 2 are contradicting each other... Bunuel please clarify when you get a chance. Thank you. This question is flawed. If you look at their explanation, what they mean by "When the sum is rounded to the nearest tenth of a cent, its cash value is $7.95" is not correct. In the explanation, they say that "when we round to x and then round to ♣" for stmnt 2. This is not correct. When we round to third digit after decimal, we do not then round to second digit. If we want to round to second digit, we must do it in one step. Let me give you an example: Say you have 2.48 If you want to round it to the closest integer, will it be 2 or 3? Note that 2.48 is less than 2.50 which is in the middle so it should be rounded to 2. But if you start applying rounding from the rightmost digit 2.48 will becomes 2.5 and that will become 3 (round up). But that is not correct. 2.48 is not closer to 3. Hence, when rounding, only the digit immediately to the right is considered. Therefore, their analysis of statement 2 is incorrect. That is why it clashes with stmnt 1. Actually stmnt 2 is sufficient alone and $7.9497 is the only way to get 7.950 upon rounding to tenths of a cent (i.e. the third digit to the right of the decimal) If, by cash value they mean the value that can be represented in cash (there are 1 cent/2 cent coins but no tenth of a cent coin) which is essentially 2 digits after the decimal, then they cannot round to the tenth of a cent.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Current Student
Joined: 12 Aug 2015
Posts: 2627

Re: In the decimal above, ♣ and x represent single digits. What
[#permalink]
Show Tags
19 Nov 2016, 01:16
Hi VyshakI am not able to understand this question. What is cash value? What is rounding to nearest cent? what is rounding to tenths of a cent? can you please explain this in the easiest way possible. Regards Stone Cold
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GPA: 4
WE: Analyst (Retail)

Re: In the decimal above, ♣ and x represent single digits. What
[#permalink]
Show Tags
19 Nov 2016, 03:07
stonecold wrote: Hi VyshakI am not able to understand this question. What is cash value? What is rounding to nearest cent? what is rounding to tenths of a cent? can you please explain this in the easiest way possible. Regards Stone Cold Hi stonecold, Even I was not aware of the phrase 'tenths of a cent' but the above discussions helped. What is cash value?  Original value of cash What is rounding to nearest cent?  Approximated value of cash to two decimal places (nearest hundredth). what is rounding to tenths of a cent?  Approximated value of cash to three decimal places (nearest thousandth). Hope it helps.




Re: In the decimal above, ♣ and x represent single digits. What &nbs
[#permalink]
19 Nov 2016, 03:07



Go to page
1 2
Next
[ 21 posts ]



