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What is the value of integer n if the inequality 30 > n > 9 holds?

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Bunuel
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What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   16 Jul 2015, 01:22
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What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.


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C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   16 Jul 2015, 01:29
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(1) When n is divided by 9, the remainder is 0.-n can be 18 or 27
(2) When n is divided by 2, the remainder is 1.-n can be 11,13...27,29. hence,c ans
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   16 Jul 2015, 07:44
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Statement 1 : The number is of format 9k+0 . Hence it can be 18 or 27 : Not sufficient
Statement 2 : The number is of format 2k+1 . Hence it can be 11, 13, 15, 17, 19 ,21, 23, 25, 27 or 29 : Not sufficient

Combining 1 and 2 . The answer is 27 and hence C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   16 Jul 2015, 10:26
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Bunuel wrote:
What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.
Kudos for a correct solution.


Given : 30 > n > 9

Question : n= ?

Statement 1: When n is divided by 9, the remainder is 0.

i.e. n must be a multiple of 9
i.e. n may be 18, 27 within the range 30 > n > 9
NOT SUFFICIENT


Statement 2: When n is divided by 2, the remainder is 1

i.e. n is an Odd number
i.e. n may be 11, 13, 15, 17, 19, 21, 23, 25, 27, 29
NOT SUFFICIENT

Combining the two statements:
n must be an odd number and a multiple of 9 within the range 30 > n > 9
i.e. only possible value of n = 27
SUFFICIENT

Answer: optionC
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   17 Jul 2015, 15:48
Bunuel wrote:
What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.


Kudos for a correct solution.


Value of n ranges from 10 to 29.

St 1: Multiples of 9 in this range => 18, 27 => 2 values. Not Sufficient.

St 2: All the odd numbers between 10 to 29. Not Sufficient.

Combining two statements, 27 is a multiple of 9 and also an odd no. Hence Sufficient.

Option C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   17 Jul 2015, 23:53
By combining 1 and 2, unique answer is 27.

So, answer= C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   18 Jul 2015, 06:56
Bunuel wrote:
What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.


Kudos for a correct solution.


Statement 1:When n is divided by 9, the remainder is 0. n can be 18,27. Insufficient
Statement 2: When n is divided by 2, the remainder is 1. n can be 11,13,15 etc. Insufficient
Using both statements, n can only be 27.
Answer C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   19 Jul 2015, 05:56
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What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.

Given : 30 > n > 9 or 9 < n < 30

Statement 1 : When n is divided by 9, the remainder is 0
N can be 18 or 27, no unique answer and hence not sufficient.

Statement 2 : When n is divided by 2, the remainder is 1.
N can be any odd number between 9 and 30 (11,13,15 .. 29) - Not unique value of N, Not sufficient.

Combining 1 and 2,
n must be divided by 9 and must be odd, Along with original condition 9<n<30. Only value which satisfy all these condition is 27 - Unique value.

Hence Option C
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   19 Jul 2015, 13:58
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Bunuel wrote:
What is the value of integer n if the inequality 30 > n > 9 holds?

(1) When n is divided by 9, the remainder is 0.
(2) When n is divided by 2, the remainder is 1.


Kudos for a correct solution.


800score Official Solution:

Statement (1) alone is not sufficient since both 18 and 27 are divisible by 9 with a zero remainder.

Statement (2) is also not sufficient. Integers between 9 and 30 that may be divided by 2 with a remainder of 1 are: 11, 13, 15, 17, 19, 21, 23, 25, 27, 29.

Taken together, you are able to find the only number that fills both statements: 27.

Remember that, in Data Sufficiency questions, you do not need to actually solve for an answer; you simply need to establish whether you have enough information to solve for one.
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink] New post   06 Aug 2020, 07:15
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Re: What is the value of integer n if the inequality 30 > n > 9 holds? [#permalink]
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