Data Sufficiency

Hello friends

This is a question of arithmetic related to number problems, I have tried a lot to solve it but somehow I am unable to find out the correct answer.

If c is a +ve integer between 1 and 9, and n = 9,446 + c, then what is the value of c?
(1) n is divisible by 5.
(2) n is divisible by 9.
In the last paragraph, when n is divisible by 5, then "c" can be 4 or 9. In the next sentence it states, "if n is divisible by 9, you can add the digits and find what
the nearby multiples of 9 are. Which digits are you adding?

I had seen this question at www.testcircle.com/gmat in free GMAT sample videos, and there are more than 1000s of GMAT CAt test based questions in free sample videos.
Waiting for a good reply.
Thanks

answer seems to be '4'

1. divisible by 5 -----

when 9446 is divided by 5,this leaves remainder of 1 and both 4 and 9 will satisfy the condition of n divisible by 5.

9446/5= 1889 1/5

2. divisible by 9-----

9446/9= 1049 5/9, with remainder of 5 and only 4 will satisfy this condition of n being divisible by 9.

Hope it is correct.

Alfred wrote:Hello friends

This is a question of arithmetic related to number problems, I have tried a lot to solve it but somehow I am unable to find out the correct answer.

If c is a +ve integer between 1 and 9, and n = 9,446 + c, then what is the value of c?
(1) n is divisible by 5.
(2) n is divisible by 9.
In the last paragraph, when n is divisible by 5, then "c" can be 4 or 9. In the next sentence it states, "if n is divisible by 9, you can add the digits and find what
the nearby multiples of 9 are. Which digits are you adding?

I had seen this question at www.testcircle.com/gmat in free GMAT sample videos, and there are more than 1000s of GMAT CAt test based questions in free sample videos.
Waiting for a good reply.
Thanks

Hi Alfred,

Remember the divisibility test of 9, if a number is given then you add up all the digits and see if the result is divisible by 9.
eg 72 = 7+2=9 so divisible by 9

for this question Ans should be D both statements will give answer 4.

I think the answer is B. (1) is insufficient because it gives you two answers - 4 or 9. (2) only gives you 4 as a viable answer choice.

The question is a little confusing, does the question mean 1 and 9 ARE included? If it does then the answer is B, if 1 and 9 are EXCLUDED i.e 1<c<9 then the answer is D

mun1shk wrote:

Alfred wrote:Hello friends

This is a question of arithmetic related to number problems, I have tried a lot to solve it but somehow I am unable to find out the correct answer.

If c is a +ve integer between 1 and 9, and n = 9,446 + c, then what is the value of c?
(1) n is divisible by 5.
(2) n is divisible by 9.
In the last paragraph, when n is divisible by 5, then "c" can be 4 or 9. In the next sentence it states, "if n is divisible by 9, you can add the digits and find what
the nearby multiples of 9 are. Which digits are you adding?

I had seen this question at www.testcircle.com/gmat in free GMAT sample videos, and there are more than 1000s of GMAT CAt test based questions in free sample videos.
Waiting for a good reply.
Thanks

Hi Alfred,

Remember the divisibility test of 9, if a number is given then you add up all the digits and see if the result is divisible by 9.
eg 72 = 7+2=9 so divisible by 9

for this question Ans should be D both statements will give answer 4.

Alfred wrote:Hello friends

This is a question of arithmetic related to number problems, I have tried a lot to solve it but somehow I am unable to find out the correct answer.

If c is a +ve integer between 1 and 9, and n = 9,446 + c, then what is the value of c?
(1) n is divisible by 5.
(2) n is divisible by 9.
In the last paragraph, when n is divisible by 5, then "c" can be 4 or 9. In the next sentence it states, "if n is divisible by 9, you can add the digits and find what
the nearby multiples of 9 are. Which digits are you adding?

I had seen this question at www.testcircle.com/gmat in free GMAT sample videos, and there are more than 1000s of GMAT CAt test based questions in free sample videos.
Waiting for a good reply.Thanks

here n = 9446 + c
st.1: when 9446 is divided by 5 it will give remainder =1 (as last digit is 6)
so for 9446 + c to be divisible by 5, c+1 must be divisible by 5
also1< c<9 --> c= 4 -----------------(i)--------------sufficient

st.2: also when 9446 is divided by 5 it will give remainder =5 (as last sum of digit = 9+4+4+6 = 23)
so for 9446 + c to be divisible by 9, c+5 must be divisible by 9
also1=< c<=9 --> c= 4 -----------------(ii)--------------sufficient

Ans D

Shashank is right here, actually the confusion here is in statement 1, because it is written between 1 and 9 that means 1 and 9 are not included.

so both the statements are sufficient alone, giving us answer D

Mom4MBA wrote:Shashank's is right here, actually the confusion here is in statement 1, because it is written between 1 and 9 that means 1 and 9 are not included.

so both the statements are sufficient alone, giving us answer D

Yeah that is what I meant to say that If its clearly written between 1 and 9 that means 1 and 9 are not included.
Also I have seen that whenever there is an inclusion of boundary values they always specify it in question or show it inform of mathematical expression so rest assured about it...

hi all,

I guess the answer is 'B'.... since that is precisely concludes the value of 'c'. n we dont need other hint for doing them.. it also takes care of optimization

rohankelkar81 wrote:hi all,

I guess the answer is 'B'.... since that is precisely concludes the value of 'c'. n we dont need other hint for doing them.. it also takes care of optimization

rohankelkar81 yeah B precisely concludes the value of C but A also gives the same value...
so you have to consider the option D which says" A and B are individually sufficient to ans he problem"