DS: Remainder

Whats the OA?

I am getting C. Since I am not doing it algebrically dint want to post the solution since you may have worked it out with numbers already.

IMO E, but I'm not sure of this answer.

Whats the OA and source of this question?

-BM-

stop@800 wrote:What is the remainder when the positive integer x is divided by 8?

1. when x is divided by 12, the remainder is 5.
2. when x is divided by 18, the remainder is 7.

Please avoid the number substitution and solve this using algebric equations.

Thanks in advance.

i go for E.

statement 1.

x = 12a+5.........................not sufficient

statement 2.

x = 18b+11, .........................not sufficent ..

combining 1 and 2.

we know that the first number which statisfies it is 29 and subsequent numbers will be of the form 36*m+29 where 36*m is a number that will be the multiple of the LCM of 12 and 18

thus the numebers will be 29, 65 (36*1+29), 101 (36*2+29), 137(36*3+29)

thus when the above numbers are divided by 8... the remainders can be either 5 or 1.

hence E.

hope that helps.. do let us know the OA.

why is it 18b+11 ??? it shuold be 18b+7 isn t ?

bhabani wrote:why is it 18b+11 ??? it shuold be 18b+7 isn t ?

True

I was also thinking that how come 29 leave a remainder of 7.

with 7, we will not have any common term

Refer to
https://www.beatthegmat.com/ds-t7158.html

stop@800, Is your problem correct? In the post everyhting is the same except statement 2

Let me know

cramya wrote:Refer to
https://www.beatthegmat.com/ds-t7158.html

stop@800, Is your problem correct? In the post everyhting is the same except statement 2

Let me know

The problem is correct but source may not be the reliable one.
Also, the link you mentions has C as answer and answer for this one is E.

If you look at Gabriel's post the answer is E and not C

cramya wrote:If you look at Gabriel's post the answer is E and not C

Buddy, that question is different and this one is different.