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3.507/10.02 =

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3.507/10.02 =  [#permalink]

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New post 08 May 2015, 05:25
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (01:40) correct 35% (01:24) wrong based on 175 sessions

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Re: 3.507/10.02 =  [#permalink]

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New post 08 May 2015, 05:53
4
1
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]

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New post 10 May 2015, 05:28
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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Re: 3.507/10.02 =  [#permalink]

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New post 10 May 2015, 11:13
3
1
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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Re: 3.507/10.02 =  [#permalink]

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New post 11 May 2015, 06:13
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]

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New post 28 Oct 2015, 17:41
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]

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New post 29 Oct 2015, 03:26
\(\frac{3,507}{10,02} = \frac{3507}{10020} = \frac{(3500+3,5*2)}{(10000+10*2)} = \frac{3,5*(2+1000)}{10*(2+1000)} = A\)
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Re: 3.507/10.02 =  [#permalink]

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New post 18 Mar 2018, 11:31
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