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

Question

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 .

Pjp · Answer

(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

rohitguglani100 · Answer

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

GMATinsight · Answer

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

ashokk138 · Answer

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

longfellow · Answer

By combining 1 and 2, unique answer is 27.

So, answer= C

KS15 · Answer

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

vishwaprakash · Answer

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

Bunuel · Answer

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.

bumpbot · Answer

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

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