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Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0

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

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New post 20 Nov 2015, 09:14
1
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.

So answer is choice 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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New post 21 Nov 2015, 08:58
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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.
Therefore, the answer becomes (A).

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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New post 28 Nov 2015, 07:57
1
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

Answer: 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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New post 23 Aug 2016, 03:36
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

(2) N > 0.04
N could be = 0.05, 0.06, 0.07 not sufficient

(1) When M + N is rounded to tenths digit the value is M
so N should be .00 ---------------.49 so 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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Re: Jamboree and GMAT Club Contest: M and N are positive numbers. Is N > 0   [#permalink] 03 May 2020, 22:31

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