Data Sufficiency

What is the remainder when integer n is divided by 10?
1) When n is divided by 110 the remainder is 75.
2) When n is divided by 100 the remainder is 25.

I did not get your Question

But I think in both case it is 5.

narisipalli wrote:What is the remainder when integer n is divided by 10?
1) When n is divided by 110 the remainder is 75.
2) When n is divided by 100 the remainder is 25.

From 2:
n/100 gives remainder of 25. So, n=100m+25, where m is an integer.
(100m+25)/10 will give remainder of 5
Sufficient.

from 1:
n/110 gives remainder of 75. So, n=110q+75, where q is an integer.
(110q+75)/10 will give remainder of 5
Sufficient

IMO answer D

akdayal wrote:I did not get your Question

But I think in both case it is 5.

st 1 :

n = 110K +75

n can take any value.

st 2

n=100Q + 25

combining st 1 & st 2

100Q -110K =50

when Q=6,K=5 ;100Q -110K =50

finding n, 100Q+25 =625

Remainder when N divided by 10 is 5

Y cant D???
take n =325, when divided by 100 :R is 5
when divided by 110 : R is 105
take n = 425 ,when when divided by 100 :R is 5
when divided by 110 : R is 95
Inconsistent .

SO I picked C

gmatmachoman wrote:
st 1 :

n = 110K +75

n can take any value.

st 2

n=100Q + 25

combining st 1 & st 2

100Q -110K =50

when Q=6,K=5 ;100Q -110K =50

finding n, 100Q+25 =625

Remainder when N divided by 10 is 5

Y cant D???
take n =325, when divided by 100 :R is 5
when divided by 110 : R is 105
take n = 425 ,when when divided by 100 :R is 5
when divided by 110 : R is 95
Inconsistent .

SO I picked C

st 1) n cant take any value- n can be 185, 295, 405.... which would leave a remainder of 5 when divided by 10

st 2) n can be 125, 225, 325, 425......which would leave a remainder of 5 when divided by 10

hence, D

narisipalli wrote:What is the remainder when integer n is divided by 10?
1) When n is divided by 110 the remainder is 75.
2) When n is divided by 100 the remainder is 25.

The question is basically asking us to find the units digit of n.

Now, when a number n is divided by D, giving a quotient Q and a remainder R

n = DQ + R

in both the statements, DQ will be a multiple of ten, with units digit as 0. and then we are adding 5 to the units digit by adding either 75 or 25. therefore, in both the cases, the units digit will be 5.

Hence, each statement individually is sufficient to answer the question.

harshavardhanc wrote:

narisipalli wrote:What is the remainder when integer n is divided by 10?
1) When n is divided by 110 the remainder is 75.
2) When n is divided by 100 the remainder is 25.

The question is basically asking us to find the units digit of n.

Now, when a number n is divided by D, giving a quotient Q and a remainder R

n = DQ + R

in both the statements, DQ will be a multiple of ten, with units digit as 0. and then we are adding 5 to the units digit by either adding 75 or 25. therefore, in both the cases, the units digit will be 5.

Hence, each statement individually is sufficient to answer the question.

ehehehehhe..i cant be stupid more than this!! I am doing same mistake of taking the same set !!

@harsha, do u remember i did the same kinda mistake sometime & was arguing with u & fibo!!

harshavardhanc wrote:
The question is basically asking us to find the units digit of n.

Now, when a number n is divided by D, giving a quotient Q and a remainder R

n = DQ + R

in both the statements, DQ will be a multiple of ten, with units digit as 0. and then we are adding 5 to the units digit by adding either 75 or 25. therefore, in both the cases, the units digit will be 5.

Hence, each statement individually is sufficient to answer the question.

That was indeed a nice way of explaining. Thanks Harsha.

Correct Answer: D