3.507/10.02 =

Question

3.507/10.02 =

(A) 0.35 
(B) 0.3505 
(C) 0.3509 
(D) 0.351 
(E) 0.3527

adroitprad · Accepted Answer

3.507 / 10.02 = (3507 / 1002) * 0.1 = ((3006 / 1002) + (501 / 1002)) * 0.1 = (3 + 0.5) * 0.1 = 3.5 * 0.1 = 0.35 :-D

Lucky2783 · Answer

(3507/1002) × 0.1

3*1002 /1002 + 501 /1002 ×0.1

=3.5×0.1=A

noTh1ng · Answer

3.507 / 10.02

3507 / 1002 = 3.5

move the comma two places to the left as we have 2 decimal places from the divisor: 0.35. Answer: A

Bunuel · Answer

MANHATTAN GMAT OFFICIAL SOLUTION: At first glance, it appears that precise long division is necessary. The answer choices are very close together, making estimation difficult. However, with some manipulation and factoring, the solution is straightforward. The key to factoring this fraction is to move the decimals of both the numerator and denominator three places to the right, so that we're dealing with integers. Then, we might notice that 3,507 is divisible by 7 (35 and 7 are both divisible by 7, providing a clue that we may be able to factor out 7). Moreover, 10,020 is divisible by 10 and by 2 (10,020 ends in a 0, and 1,002 is even): 2015-05-11_1812.png

mvictor · Answer

we can try to get an approximation first, 
3.507 / 10.02 = 350.7/1002
this is slightly less than 0.3507.
Just by doing this, we can eliminate C, D, and E.

now we are remained with A and B.
I decided to do the long way, and got to 0.35 so A.

Zhenek · Answer

\frac{3,507}{10,02} = \frac{3507}{10020} = \frac{(3500+3,5*2)}{(10000+10*2)} = \frac{3,5*(2+1000)}{10*(2+1000)} = A

plaverbach · Answer

We can use a  simple  and  fast  way!

if  \frac{3.507}{10.02} = answer 
 answer *10.02=3.50 7

10.02
 x0.35 
____10
____6+
____ 7 0

Answer A

sujoykrdatta · Answer

There are 2 distinct ways I could come up with:

Method 1: 
3.507/10.02 
= 3507/10020 (adjusting the 10s)
= (3500 + 7)/(10000 + 20)
=   ÷  
=   ÷  
= 3500/10000
= 0.35

Method 2: Factorize
3.507/10.02 
= 3507/10020 (adjusting the 10s)
=  / 
= 7/20
= 0.35

Answer A

Abhishek009 · Answer

\frac{3.507}{10.02}  ~  \frac{3.5}{10} = 0.35 , Answer must be (A)

sujoykrdatta · Answer

Why cannot it be 0.3505? 
3.507/10.02 must be less than 0.3507. 
However both A and B can be possible 
The question is asking for the exact value of the fraction, so approximations won't be a good idea.

Dooperman · Answer

C, D, E eliminated. A vs B

Check the simpler multiplication (option A 1002 * 35)

steffe440 · Answer

Transform it to 3507/1002 = x

Then we know for a fact that (1002)(x) = 3507, we can further simplify it to

(1000 + 2)(x) = 3507

What we know is that x will be multiplied by 2 to create the unit digit, however if x is an integer the result will always be an even unit digit, but we have 7, so x has to be multiplied with 0.5, 1.5 or anything else ending in .5 in order to create an odd integer at the end.

however if we quickly look x could be 3.5

since then it would be 3500 + 7 =3 507, hence the pattern it would is 35 only, hence it is A

3.507/10.02 =

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3.507/10.02 =

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