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# 3.507/10.02 =

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Math Expert
Joined: 02 Sep 2009
Posts: 47037

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08 May 2015, 06:25
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:29) correct 40% (01:00) wrong based on 158 sessions

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3.507/10.02 =

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

Kudos for a correct solution.

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Joined: 07 Aug 2011
Posts: 561
GMAT 1: 630 Q49 V27

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08 May 2015, 06:53
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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##### General Discussion
Manager
Joined: 07 Apr 2015
Posts: 176

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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
Intern
Joined: 22 Apr 2015
Posts: 6

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10 May 2015, 12:13
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
Math Expert
Joined: 02 Sep 2009
Posts: 47037

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11 May 2015, 07:13
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):
Attachment:

2015-05-11_1812.png [ 19.75 KiB | Viewed 1583 times ]

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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.
Manager
Joined: 17 Mar 2015
Posts: 121

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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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18 Mar 2018, 12:31
Hello from the GMAT Club BumpBot!

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Re: 3.507/10.02 =   [#permalink] 18 Mar 2018, 12:31
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