remainder question

ohjoon2 wrote:from the og 12th edition

If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

answer is E.
i correctly picked E, but i'm not sure if i got lucky or not.
in my head, i thought the remainder depends on what t is.
if t is 100, then remainder is 12.
if t is 50, then remainder is 6.
if t is 25, then remainder is 3.
i kept simplifying 12/100 to 6/50 to 3/25.
based on that sequence, i noticed the remainder is a multiple of 3.
so i scanned the answer choices and 45 was the ONLY one that's a multiple of 3.
is this a correct method or am i just delusional and got lucky.

diebeatsthegmat wrote:

ohjoon2 wrote:from the og 12th edition

If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

answer is E.
i correctly picked E, but i'm not sure if i got lucky or not.
in my head, i thought the remainder depends on what t is.
if t is 100, then remainder is 12.
if t is 50, then remainder is 6.
if t is 25, then remainder is 3.
i kept simplifying 12/100 to 6/50 to 3/25.
based on that sequence, i noticed the remainder is a multiple of 3.
so i scanned the answer choices and 45 was the ONLY one that's a multiple of 3.
is this a correct method or am i just delusional and got lucky.

you cant solve this problem without knowing its remainder or T or S
do you think you paste enough solution?

kmittal82 wrote:

diebeatsthegmat wrote:

ohjoon2 wrote:from the og 12th edition

If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

answer is E.
i correctly picked E, but i'm not sure if i got lucky or not.
in my head, i thought the remainder depends on what t is.
if t is 100, then remainder is 12.
if t is 50, then remainder is 6.
if t is 25, then remainder is 3.
i kept simplifying 12/100 to 6/50 to 3/25.
based on that sequence, i noticed the remainder is a multiple of 3.
so i scanned the answer choices and 45 was the ONLY one that's a multiple of 3.
is this a correct method or am i just delusional and got lucky.

you cant solve this problem without knowing its remainder or T or S
do you think you paste enough solution?

Erm.. I think the question is complete. Please look at my posting above on how to solve this.,