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Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 08:45
Question Stats:
60% (01:47) correct 40% (01:50) wrong based on 236 sessions
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Jamboree and GMAT Club Contest Starts QUESTION #9:M and N are positive numbers. Is N > 0.06? (1) When M + N is rounded to tenths digit the value is M (2) N > 0.04 Check conditions below: For the following two weekends we'll be publishing 4 FRESH math questions and 4 FRESH verbal questions per weekend. To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific. Then a week later, respective forum moderators will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6months access to GMAT Club Tests. PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize. He/She can opt for one of the following as a Grand Prize. It will be a choice for the winner:  GMAT Online Comprehensive ( If the student wants an online GMAT preparation course)  GMAT Classroom Program ( Only if he/she has a Jamboree center nearby and is willing to join the classroom program) Bookmark this post to come back to this discussion for the question links  there will be 2 on Saturday and 2 on Sunday! There is only one Grand prize and student can choose out of the above mentioned too options as per the conditions mentioned in blue font.All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time. NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 11:33
ok, so, if M+N rounded up to the nearest tenth's is M, N must be <0.05, thus we know for sure that N < 0.06, and the answer to our question is a definite NO, which makes statement 1 sufficient. Statement 2 is not sufficient. N can be any number greater than 0.04. thus, insufficient.
Answer A.



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 11:37
QUESTION #9:
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
1. Sufficient: Suppose M is an integer and rounding of M+N equals M means N must be less than 0.05, resulting in M. Say M=5 & N=0.04 Then M+N=5.04 rounding equals '5'. Hence N must be less than 0.05. 2. Not sufficient. N could be 0.05 which is less than 0.06 or it could be 0.07 which is > 0.06. Answer A



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 11:43
M and N are positive numbers. Is N > 0.06? (1) When M + N is rounded to tenths digit the value is M Lets plug the values. if M = 0.20 and N = 0.04 then M+N = 0.24. Now if we round 0.24 to tength digit we get 0.20. if M = 0.20 and N = 0.07 then M+N = 0.27. Now if we round 0.27 to tength digit we get 0.30. We observe when N > 0.04 then rounding M+N will not produce 'M'. Value of N has to be <=0.04. Hence answer to the question "is N > 0.06" is "NO". (Definite Answer). Hence, Sufficiet! (2) N > 0.04 Here, 0.05, 0.06, 0.07 are all greater than 0.04 and N can take any of these values. if N = 0.05, N is less than 0.06. if N = 0.07, N is Greater than 0.06. Answer is not definite. Hence, Insufficient. Finally Answer to this question is "A".
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 12:12
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04  (1) The statement implies that M + N is rounded down. Thus, N < 0.05 (2) N could be more or less than 0.06 Answer: A



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 12:14
QUESTION #9:
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
1: If M is x.05 then N<0.10 With each additional unit added to the hundredths place of M, the N will come down. It will be the lowest when M=x.04, when N<0.01
Since 0.01<N<0.10, Statement 1 is not sufficient.
2: N>0.04
Not Sufficient.
1 and 2: 0.04<N<0.10 So, N could take values between 0.04 and 0.06.
Not Sufficient
Answer: E



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 18:07
statement (1) says M + N = M (when rounded to tenth digit) for example 9.5 + 0.06 = 9.56, when rounding to tenths digit > 9.6 (which is greater than M) So, for M+N to be M after rounding to tenth digit. N should be <= 0.04
Answer to the question Is N > 0.06 ... NO Statement (1) is sufficient Answer (A)



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 18:40
1. M= 1.1 N= 0.04 Sum= 1.14 If decimal part of N is equal to or greater than .05 , the tenths digit will be rounded to up . That is 1.1+.05 = 1.15 . Since , the value of M+N rounded to tenths digit is the value of M . N>0.06 No Sufficient. 2. N>.04 Not sufficient. As N can take values such as  .45 , .5  less than .06 or N can take values .65  greater than .06 Not sufficient Answer A
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 18:56
A
1. Sufficient As M+N rounded to tenth digit = M means N<0.05 Thus N>0.06 is No
2. Insufficient As N>0.04, if it is 0.05 then No if it is 0.07 then Yes so 2nd statement not sufficient



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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14 Nov 2015, 21:24
M and N are positive numbers. Is N > 0.06? (1) When M + N is rounded to tenths digit the value is M This means N<.05..suff (2) N > 0.04 N can be .045 or .055.. giving different answers YES?NO.. insuff A
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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15 Nov 2015, 08:50
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
(1) We know, when rounded, a digit should increase by 1 if the next (hundredths here) digit is more than 5. So, in case N>0.05, irrespective of the value of M the tenths digit of M+N would increase by 1 when rounded. e.g. M= 1.00, N =0.06, so, M+N = 1.06 ~ 1.1 (rounded) = M. So, N can't be >0.05 or N>0.06 is not possible. Sufficient.
(2) We know N > 0.04. N = 0.05 Ans: No. N = 0.07 Ans: Yes. Not Sufficient.
Answer: A.



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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15 Nov 2015, 14:10
The question asks whether N>.06?
Statement 1 says When M + N is rounded to tenths digit the value is M
Let try some values of M & N.
M = 5 and N = 0.04. M+N = 5.04 ; So after rounding 5.0 [equals to M and N<.06] M = 5 and N = 0.05. M+N = 5.05 ; So after rounding 5.1 [NOT equals to M and N<.06]
It's observed that value of N will NOT be N>6 if the rounded to tenths digit of (M + N) is M. sufficient.
Statement 2 says N > 0.04, However no other information is given. So we can't specifically say whether n>.06. It could be N=.05; even N = .07. Dual answer. Insufficient.
So Option (A) wins.



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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15 Nov 2015, 19:28
N > 0.06?
St1: M + N = Rounded value of M to its tenth digit. Let M = 1.45. Rounded value of M = 1.5. N = 0.01 > M + N = 1.5; N > 0.06? No N = 0.09 > M + N = 1.5; N > 0.06? Yes Statement 1 alone is not sufficient.
St2: N > 0.04. Clearly not sufficient as we dont know the value of M.
Combining St1 and St2, M = 1.45 and N = 0.05; M + N = 1.5; N > 0.06? No M = 1.45 and N = 0.07; M + N = 1.5; N > 0.06? Yes Not sufficient.
Answer: E



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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16 Nov 2015, 06:11
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
Question is straightforward: Is N > 0.06
Statement 1: When M+N is rounded to tenths digit the value is M Since rounding to the tenths digit results in M, M should have the tenths digit as the last significant number, e.g. 0.4, 2.5, etc. and rounding N to the tenths digit should result in 0.0 Now, because rounding numbers from 0.00 to 0.04999999... to the tenths digit = 0.0, we know that N < 0.05 Therefore, SUFFICIENT!
Statement 2: N > 0.04 N could be 0.045 or 0.07 Therefore, INSUFFICIENT!
Answer: A



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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16 Nov 2015, 13:28
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
ANS:A This is a DS question with direct answer YES or NO option. If from a statement you get only YES or only NO the statement is sufficient. 1. M+N is rounded to tenths digit the value is M Tenths digit= 0.VWV is a tenth digit. Now whatever the value of M you take N is always less than .06. Because rounding of .06 to tenths digit is .1 , but we are given M+N=M (rounding to tenths digit) eg. 1.2+.02=1.22=1.2(M), 1.0+.04=1.04=1.0(M), 1.5+.04=1.54=1.5(M) So in every case we get NO as answer to the given question Is N>.06 statement is sufficient
2. N>.04  This statement gives YES and NO both as answer to the question Is N>.06 Taking values If N=.044 then NO but if N=.07 then YES. Statement is not sufficient



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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18 Nov 2015, 03:06
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
Stmt 1: (1) When M + N is rounded to tenths digit the value is M [M+N] = M > This only means that N<0.1 and any thing added to the hundeths place of M did not result in rounding off to produce a number which has tenths place of the result greater than tenths place of M. Hence N<0.05 > sufficient
Stmt 2: (2) N > 0.04
This does not provide any useful information on the value of N. N can be 0.05 or 0.06 or 0.07. > Hence Insufficient.
Ans: A



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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18 Nov 2015, 11:19
I believe it's E
Statement 1: N> .05 or M+N >.05 Statement 2: N> .04 could be .05 or .06



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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19 Nov 2015, 23:43
(1) When "M+N" is round to tenths digit, the value is M =>:  M has no hundredth digit, which means M is in the form of "a.b" (a and b is digits), and thus:  "M+ N" must be in the form of "a.bc....", where c is 0,1,2,3, or 4 (so when being round to tenths digit, it becomes "a.b")
=> N is in the form of 0.0c..... (c=0,1,2,3,4) => N <0.06 => A is sufficient
(2)N>0.04: no other clues, so we don't know whether N is bigger than 0.06 or not => B is not sufficient
=> A is the correct answer



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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20 Nov 2015, 04:54
M and N are positive numbers. Is N > 0.06?
(1) When M + N is rounded to tenths digit the value is M (2) N > 0.04
The answer is A.
(1) "When M + N is rounded to tenths digit the value is M" means that N is less than 0.05. Explanation in example:
M can be any number. Let's say 1.2. Then try N as numbers 0.05 and 0.04 to see the rounding effect. When N=0.05 then M+N will be 1.2+0.05=1.25. Then round to tenth. The result is 1.3 not equal to M or 1.2. When N=0.04 then M+N will be 1.2+0.04=1.24. Then round to tenth. The result is 1.2 Equal to M or 1.2. So N must be less than 0.04. It is definitely not more than 0.06. Sufficient.
(2) N > 0.04. In this case, N can be 0.07, 0.05, or 0.041. So N may or may not be more than 0.06. Insufficient.



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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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20 Nov 2015, 07:55
Please refer to the attached file for the solution. Saunak Dey
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0
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