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3.507/10.02 =

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Bunuel
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3.507/10.02 = [#permalink] New post   08 May 2015, 06:25
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00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

61% (01:29) correct 39% (01:28) wrong based on 452 sessions
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3.507/10.02 =

(A) 0.35
(B) 0.3505
(C) 0.3509
(D) 0.351
(E) 0.3527
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A
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Lucky2783
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Re: 3.507/10.02 = [#permalink] New post   08 May 2015, 06:53
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Bunuel wrote:
3.507/10.02 =

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


Kudos for a correct solution.


(3507/1002) × 0.1

3*1002 /1002 + 501 /1002 ×0.1

=3.5×0.1=A
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Re: 3.507/10.02 = [#permalink] New post   10 May 2015, 12:13
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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
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noTh1ng
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Re: 3.507/10.02 = [#permalink] New post   10 May 2015, 06:28
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
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Bunuel
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Re: 3.507/10.02 = [#permalink] New post   11 May 2015, 07:13
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Bunuel wrote:
3.507/10.02 =

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


Kudos for a correct solution.


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):
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Re: 3.507/10.02 = [#permalink] New post   28 Oct 2015, 18:41
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.
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Re: 3.507/10.02 = [#permalink] New post   29 Oct 2015, 04:26
\(\frac{3,507}{10,02} = \frac{3507}{10020} = \frac{(3500+3,5*2)}{(10000+10*2)} = \frac{3,5*(2+1000)}{10*(2+1000)} = A\)
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Re: 3.507/10.02 = [#permalink] New post   25 Nov 2020, 13:06
[KUDOS, plz!]
We can use a simple and fast way!

if \(\frac{3.507}{10.02}\)=answer
answer*10.02=3.507

10.02
x0.35
____10
____6+
____70

Answer A
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sujoykrdatta
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Re: 3.507/10.02 = [#permalink] New post   26 Sep 2023, 06:13
Expert Reply
Bunuel wrote:
3.507/10.02 =

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


Kudos for a correct solution.


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(1 + 7/3500)] ÷ [10000(1 + 20/10000)]
= [3500(1 + 1/500)] ÷ [10000(1 + 1/500)]
= 3500/10000
= 0.35

Method 2: Factorize
3.507/10.02
= 3507/10020 (adjusting the 10s)
= [7 * 501]/[20 * 501]
= 7/20
= 0.35

Answer A
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Re: 3.507/10.02 = [#permalink] New post   26 Sep 2023, 07:55
Bunuel wrote:
3.507/10.02 =

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

\(\frac{3.507}{10.02}\) ~ \(\frac{3.5}{10} = 0.35\), Answer must be (A)
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sujoykrdatta
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Re: 3.507/10.02 = [#permalink] New post   28 Sep 2023, 00:22
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Abhishek009 wrote:
Bunuel wrote:
3.507/10.02 =

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

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



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.
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Re: 3.507/10.02 = [#permalink]
28 Sep 2023, 00:22
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