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remainder question

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remainder question

by ohjoon2 » Sun Jul 18, 2010 6:54 am
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.
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by kmittal82 » Sun Jul 18, 2010 7:22 am
s/t = 64.12

=> s = 64t + 0.12t

The remainder is thus 0.12t, which should be a whole number.

Only option (E) i.e. 45, is divisible without any remainder by 0.12
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by diebeatsthegmat » Sun Jul 18, 2010 9:21 pm
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?
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by kmittal82 » Mon Jul 19, 2010 12:23 am
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.,
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by gmatmachoman » Mon Jul 19, 2010 12:32 am
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.,
s = 64t + 0.12t

0.12t will be a integer as Remainders will be Integers

0.12t = X

Find t from the given options whereinwhich gives X/0.12 as a integer.

Start with

(A) 2

2/0.12 =NOt a integer

(B) 4

4/.12 =NOt a integer

(C) 8

8/.12 =NOt a integer


(D) 20

20/0.12= NOt a integer


(E) 45

45/0.12 = Integer.
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