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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.
We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.
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Its C..
STATEMENT 1===== n4<25.. n can 1 AND 2.. 1^4=1 that is less than 25. N2=16 that is less than 25.
Statement 2====== n is not equal to n2 .. from this we can say this n is not 1..bt we dont knw n cud be 2 ,3 or 4 not sufficient.
Both statement togather are sufficient. n is 2 because from statement 1 we got that n cud be 2 or 1 ..and from statement 2 we got that n can not 1..so n is 2..sufficient. _________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !
Statement 1) n^4 < 25, both the values of n = 1 or 2 satisfies the statement. Not Sufficient. Statement 2) n is not equal to n^2. We cannot determine any value of n from this statement. Not Sufficient.
Combining the two statement, only n = 2 satisfies both the condition. Hence Option C) _________________
Re: What is the value of the positive integer n ? [#permalink]
18 Sep 2015, 02:08
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What is the value of the positive integer n ? [#permalink]
19 Sep 2015, 23:59
Expert's post
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.
What is the value of the positive integer n ?
(1) n^4 < 25 (2) n≠n 2
In the original condition there is 1 variable (n) and in order to match the number of variable and equation, we need 1 equation. Since there is 1 each in 1) and 2), D has high probability of being the answer.
in case of 1), n=1,2 the answer is not unique, therefore the condition is NOT sufficient. in case of 2), n=2,3.4.... and the answer is not unique. therefore the condition is NOT sufficient. Using both 1) & 2) together, the answer is unique and therefore the conditions are sufficient. Thus the answer is C
Normally for cases where we need 1 more equation, such as original conditions with 1 variable, or 2 variables and 1 equation, or 3 variables and 2 equations, we have 1 equation each in both 1) and 2). Therefore D has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) separately. Here, there is 59 % chance that D is the answer, while A or B has 38% chance. There is 3% chance that C or E is the answer for the case. Since D is most likely to be the answer according to DS definition, we solve the question assuming D would be our answer hence using 1) and 2) separately. Obviously there may be cases where the answer is A, B, C or E. _________________
Re: What is the value of the positive integer n ? [#permalink]
20 Sep 2015, 06:53
Expert's post
MathRevolution wrote:
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.
What is the value of the positive integer n ?
(1) n^4 < 25 (2) n≠n 2
In the original condition there is 1 variable (n) and in order to match the number of variable and equation, we need 1 equation. Since there is 1 each in 1) and 2), D has high probability of being the answer.
in case of 1), n=1,2 the answer is not unique, therefore the condition is NOT sufficient. in case of 2), n=2,3.4.... and the answer is not unique. therefore the condition is NOT sufficient. Using both 1) & 2) together, the answer is unique and therefore the conditions are sufficient. Thus the answer is C
Normally for cases where we need 1 more equation, such as original conditions with 1 variable, or 2 variables and 1 equation, or 3 variables and 2 equations, we have 1 equation each in both 1) and 2). Therefore D has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) separately. Here, there is 59 % chance that D is the answer, while A or B has 38% chance. There is 3% chance that C or E is the answer for the case. Since D is most likely to be the answer according to DS definition, we solve the question assuming D would be our answer hence using 1) and 2) separately. Obviously there may be cases where the answer is A, B, C or E.
Hi, using 1 and 2 separately is true for any of the options... be it A,B,C,D,E.. i do not think the observation of any two equations given would be the same.. equality and inequality of equations will have a great say on the possiblity of that equation giving us the answer so 59% may not be true for eq using < or >... _________________
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