another realtime GMAT question

Question

this was the 6th question in my GMAT exam and this question broke my momentum in the section....thats y i got 39...pretty low

->If x and y are two integers such that x divided by y gives remainder 9, and also x/y = 96.12, then what is the value of y?

PS: dont know the answer choices...let me know its concept

christoph · Answer

hm ? is y = 75 ?

because 96,12 is the same as 96 + 9/75...

Antmavel · Answer

fast pick : 75
seems christoph chose the same answer...

0.12y = 9
y = 75

faizaniftikhar83 · Answer

plz...can u give me the concept of ur solving procedure. PS: I like ur screen picture very much...im a cat lover

ywilfred · Answer

same method as antmavel: y=75

Antmavel · Answer

The question is not very clear (the first time i was not sure f the meaning was : 

x divided by y gives remainder 9 with coefficient 96.12
or
x divided by y gives remainder 9 with an integer as coefficient

but i found out that the problem would be more rational and more logical if x divided by y gives remainder 9 with an integer as coefficient

x/y = an integer but there was a remainder of 9 so 0.12y = 9 ; y = 75

ywilfred · Answer

yes, that's it.

If for e.g:

x=8, y =3, we can say 8/3 = 2.66, 8/3 also gives a remainder of 2.

If you take the 2/0.66, it will give you 3.

anyone with a better method ??

faizaniftikhar83 · Answer

no no no......when u divide x with y, u get the answer 96.12 and remainder 9....wat is the value of y?

Antmavel · Answer

I dont think so faizaniftikhar83 the problem would have no sense...I've already seen a very similar question before so I am quite sure about this result

Moreover i dont see how you can solve this with only one statement. x = 96.12y + 9

faizaniftikhar83 · Answer

oho..yaaar...not this not this...when u divide x by y, u get 96.12 until remainder is zero. in other ways.....the remainder is 9 if u stop dividing till last digit

i think equation will be something like x = 96y+9

Antmavel · Answer

so even with your idea of something like "x = 96y+9", you will see that you're just trying to arrive to 0.12y = 9 honnestly i am quite sure about y=75 :-D

faizaniftikhar83 · Answer

ok....so now all i want to know is that how did u arrived at 0.12y = 9?

ywilfred · Answer

I don't know if antmavel learnt the method in a book or a lesson... but if you try out with some numbers, you can sometimes adapt the question into some concept and solve it, which was what i did:

e.g: 

x=8, y =3, we can say 8/3 = 2.66, 8/3 also gives a remainder of 2. 

If you take the 2/0.66, it will give you 3. 

So adapting this back to your question,

y=75.

Same method as antmavel, but just that I haven't learnt this anywhere. I simply tried out with some numbers and see if I can apply it to the question.

faizaniftikhar83 · Answer

much better now...thanx

Vishy · Answer

X = 96 Y + 9

AND X = 96.12 Y = 96Y + .12Y

SO Y = 75

Antmavel · Answer

Exactly. sorry if I was not clear but it was the only way I found and at the end I checked this method 2 times with other numbers before confirming the answer and it seemed correct. No scientific explanation. Sorry :wink:

gter · Answer

96.12 = 96 + 12/100, = 96 + 3/25.

so if the remainder is 9 then 3(3/25) will give you (9/75)

75 it is

MA · Answer

x/y=96.12
x/y=9612/100
100x=9612y ................i

x-96y=9 .....................ii

from i and ii (i have not solved, but i believe because 0.12/9=75, which is given under), y= 75

alternatively, reminder 9/y=0.12
y=75

faizaniftikhar83 · Answer

Vishy....the best explanation over here....but is there any way to solve this by plugging in?

maneeshkumar · Answer

Condition - 1
x = 96 * y + 0.12
or remainder is 0.12

Condition -2

x= a * y + 9

or remainder is 9 / y

sine x is same so the quotient will be same we can straight way compare remainders i.e.

9 / y = 0.12
or, 9 / y = 12 / 100
or, y = 900 / 12 say dividing by 4
or, y = 25 * 9 / 3 say dividing by 3
Thus y = 25 * 3 = 75

You can solve this prolem in 90 seconds. 30 seconds for reading. 30 seconds for comprehending and finally 30 seconds to solve the equation.

But the exam conditions are totally different I agree.

another realtime GMAT question

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards