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Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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 6-months 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.

Thank you!

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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.
Hence, In-sufficient.

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  [#permalink]

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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.

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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Please refer to the attached file for the solution.

Saunak Dey
Attachments IMAG0114.jpg [ 1.73 MiB | Viewed 2363 times ]

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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2
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

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

There are 2 variables (m,n) and 2 equations are given from the 2 conditions.
Looking at the conditions together, m and n has to be numbers like n=0.041, m=1.201, so that m+n=1.242
and n=0.041<0.06, so this answers the question 'no' and is sufficient, making the answer seem like (C).

However, this is a integer question, one of the key question. If we apply the common mistakes type 4(A),
Condition 1) If n>0.06, the tenth digit of m cannot be rounded up so this is 'no' and sufficient.
For condition 2, the answer is 'yes' for 0.07 but 'no' for n=0.05. This is insufficient as the range of the condition is not included in that of the question.

For cases where we need 2 more equation, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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.
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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1
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
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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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1
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

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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  [#permalink]

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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  [#permalink]

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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.

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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  [#permalink]

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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!

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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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.VW--V 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  [#permalink]

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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  [#permalink]

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(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  [#permalink]

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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) "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  [#permalink]

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M and N are positive numbers. Is N > 0.06?

This is a yes or no type DS question.
Taking choice 1
(1) When M + N is rounded to tenths digit the value is M

M + N = M

a)Lets take M = 4.2, N= 0.04 M+ N rounded off to tenth digit equals 4.2 +0.04 = 4.24 which is 4.2 equal to M and satisfies M+N =M.
b)Lets take M=4.2, N=0.05 M+ N rounded off to tenth digit equals 4.2 +0.05 = 4.25 which is 4.3 and not equal to M and doesn't satisfy M+N =M.
Therefore N<0.05 and hence choice A is sufficient to answer the question.
(2) Taking choice 2 N > 0.04
N can be any value greater than 0.04, that is 0.05 or 0.07, which can be either Greater than or lesser than 0.06. So choice B is not sufficient.

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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0  [#permalink]

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Bunuel wrote:

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 6-months 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.

Thank you!

JAMBOBREE OFFICIAL SOLUTION:

The rounding concept is that when have to round up the number to any particular position we check just the next right hand digit of the number , if the next right hand number is less than 5 then we keep the digit in the position which we need to round of same but if the next right hand number is greater than or equal to 5 then we increase by 1 the digit in the position which we need to round of.

Statement 1

Let us consider M = ABC. DEF and N = rst.uvs

Where A,B,C,D,E,F,r,s,t,u,v,and s are the digits of numbers M and N

Now it is given that When M + N is rounded to tenths digit the value is M
The above will only be true if r=s=t=u =0 .
also E+ v < 5 --> v < 5
hence N < 0.5 --> N < 0.6

hence we have a definite No as the definite answer
statement 1 is sufficient.

Statement 2

Now N > 0.04 does not answer the question as N can be either 0.5 or 0.8

_________________ Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0   [#permalink] 28 Nov 2015, 07:57

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