If T divided by B equals 8.12 what is a possible remainder?

Question

A. 2
B. 8
C. 9
D. 26
E. 44

Bunuel · Accepted Answer

Given:  \frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25} , so the remainder must be a multiple of 3.

Answer: C.

pstrench · Answer

With the decimal being 12/100, the simplest form is 3/25. If the divisor is a multiple of 25, the remainder must be a multiple of 3. The only number that is so is 9. Answer  C .

keiraria · Answer

please why the remainder has to be a multiple of 3?
Thanks

best regards

Bunuel · Answer

x  divided by  y  yields the remainder of  r  can always be expressed as:  \frac{x}{y}=q+\frac{r}{y}  (which is the same as  x=qy+r ), where  q  is the quotient and  r  is the remainder.

\frac{t}{b}=8\frac{3}{25}=8+\frac{3}{25} , so according to the above  \frac{r}{b}=\frac{3}{25} , which means that  r  must be a multiple of 3. Only option C offers answer which is a multiple of 3.

Hope it's clear.

LalaB · Answer

t/b=8 +0.12

Remainder/B=12/100=3/25

25*Remainder=3*B

ony answer choice C is divisible by 3

as Bunuel says - for more practice see the following -  https://gmatclub.com/forum/if-x-and-y-are-positive-integers-such-that-x-y-132196.html  hehe

sumit88 · Answer

If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

If t is divided by b,
ie t/b = 8.12 
 ie 8.12

8   = 8   ie 8 + 3/5
so, it means thats t/b = 3/25
ie t = 3b+25 where t is teh reaminder.

So,it means the remainder is the multiple of 3.
In these options, only 9 is a multiple of 3.
So answer is (c).

stonecold · Answer

Hey But who told us that That T,B are integers ?
I guess this question isn't up to the mark.
thanks

pvikas · Answer

please add oa to the question stem.

gracie · Answer

quick plugin approach:
divide answers by .12
only 9 gives integer

Bunuel · Answer

_____________
Done. Thank you.

Divyadisha · Answer

Remainder = .12= 12/100= 3/25

It must be multiple of 3. Only C is multiple of 3, and is the answer.

JeffTargetTestPrep · Answer

We can create the remainder equation of:

T/B = 8 + 12/100

T/B = 8 + 3/25

Thus, we see that the remainder must be a multiple of 3, so 9 is a possible remainder.

Answer: C

PragyeeJaiman · Answer

how does 12/100 becomes 3/25?

Bunuel · Answer

This is done by reducing by 4:

\frac{12}{100} =

=\frac{4*3}{4*25} = 
 
  =\frac{3}{25} 
 
Hope it's clear.

bumpbot · Answer

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If T divided by B equals 8.12 what is a possible remainder?

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If T divided by B equals 8.12 what is a possible remainder?

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