If a,b are positive integers and a/b = 87.75 which of the following

Question

If a,b are positive integers and a/b = 87.75 which of the following could be the value of b?

A. 25
B. 26
C. 27
D. 28
E. 30

josrey · Accepted Answer

The answer is D. 28

I solve this way, don´t know if its the best one:

87.75 has a remainder of 0.75 or 3/4. b MUST be a multiple of the denominator of the remainder, in this case it must be a multiple of 4. The only number that is a multiple of 4 in the possible answers is the number 28. So D. 28 is the answer

KarishmaB · Answer

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u0422811 · Answer

Here is the quick and dirty way to solve this.

The prompt tells us that a/b = 87.75 so we know that B must be a number that could result in .75. This immediately rules out B (26), C (27), and E (30). Since they are non-terminating decimals. That leaves us with A and D. Quick way to solve is just choose one and multiple by 87.75 if the answer is an integer than its correct.

Taking A we find that it is not an integer so it must be D.
Alternatively taking D we find that 28 x 87.75 = 2457 since that is an integer it must be D.

Hope that helps.

iamgame · Answer

Given a/b = 87.75.
this is 87 and 3/4 = 351/4
Since a and b are integers we know that whatever is the value of b, it must be divisible by 4 completely(to make a an integer)
from the options only D=28 is a multiple of 4 which is your answer.

IMO Option D

BDSunDevil · Answer

for the Value of b, a has to a positive integer.
a= b*87.75
 =b*8775/100
Plugging in b=28 gives an integer value for a. D

avenkatesh007 · Answer

Answer is 28/ Bcoz only 24 is the multiple of 4 and only 4 can give u 0.75

bb · Answer

This should really be in the PS forum (moved).
Whats the source of this?

Thanks.

sdas · Answer

BB its moved already. MGMAT

sandeeepsharma · Answer

If a,b are positive integers and a/b=87.75

here 87.75 = 87 + (3/4)
so a= b*87+ b*3/4
since a and be are integer. b*87 is also integer. to evaluate this exp to integer b*3/4 must be integer. so b must be divisible by 4.

here 28 is only divisible by 4

ans is 28

ScottTargetTestPrep · Answer

We can create the equation:

a/b = 87 + 75/100

a/b = 87 + 3/4

So, we have:

r/b = 3/4

Since b is a multiple of 4, b could be 28.

Answer: D

hiranmay · Answer

If a,b are positive integers and a/b = 87.75 which of the following could be the value of b?

A. 25
B. 26
C. 27
D. 28 -->   correct : a/b = 87.75 = 8775/100=351*25/4*25=351/4, so b must be multiple of 4 i.e. a/b = 87.75 = 351/4=351*7/4*7=2457/28 i.e. b = 28 
E. 30

BrushMyQuant · Answer

a/b = 87.75

Can be written as a = b * 87.75
=> a = b*87 + b*0.75 = 87b + b *  \frac{75}{100} 
=> a = 87b + b *  \frac{3}{4}

This means,  a when divided by b gives 87 as quotient and b *  \frac{3}{4}  as remainder. 
Now, remainder has to be integer. And for b *  \frac{3}{4}  to be an integer b has to be a multiple of 4.
Only multiple of 4 in the answer choice is 28.

So,  Answer will be D 
Hope it helps!

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If a,b are positive integers and a/b = 87.75 which of the following

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GMAT Problem Solving (PS) Questions

If a,b are positive integers and a/b = 87.75 which of the following

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