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The distance between two planets is 3.04 × 10^6 light years.

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The distance between two planets is 3.04 × 10^6 light years.  [#permalink]

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New post Updated on: 16 Oct 2013, 12:28
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The distance between two planets is 3.04 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

(A) 9.3 × 10^5
(B) 9.9 × 10^6
(C) 9.3 × 10^7
(D) 9.9 × 10^7
(E) 10.1 × 10^8

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Originally posted by TheGmatTutor on 16 Oct 2013, 12:23.
Last edited by Bunuel on 16 Oct 2013, 12:28, edited 2 times in total.
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Re: The distance between two planets is 3.04 × 10^6 light years.  [#permalink]

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New post 16 Oct 2013, 12:35
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TheGmatTutor wrote:
The distance between two planets is 3.04 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

(A) 9.3 × 10^5
(B) 9.9 × 10^6
(C) 9.3 × 10^7
(D) 9.9 × 10^7
(E) 10.1 × 10^8


3.04*10^6 light years = 3.04*10^6/3.26 parsecs.

3.04/3.26 is a little bit less than 1, something like 0.9, thus 3.04*10^6/3.26 = ~0.9*10^6 = 9*10^5.

Answer: A.

Or: numerical value of the distance in parsecs must be less than the numerical value of the distance in light years, only A fits.
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Re: The distance between two planets is 3.04 × 10^6 light years.  [#permalink]

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New post 16 Oct 2013, 12:36
1
Bunuel wrote:
TheGmatTutor wrote:
The distance between two planets is 3.04 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

(A) 9.3 × 10^5
(B) 9.9 × 10^6
(C) 9.3 × 10^7
(D) 9.9 × 10^7
(E) 10.1 × 10^8


3.04*10^6 light years = 3.04*10^6/3.26 parsecs.

3.04/3.26 is a little bit less than 1, something like 0.9, thus 3.04*10^6/3.26 = ~0.9*10^6 = 9*10^5.

Answer: A.

Or: numerical value of the distance in parsecs must be less than the numerical value of the distance in light years, only A fits.


Other conversion problems to practice:
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on-a-trolley-ride-around-an-amusement-park-a-child-traveler-161594.html

Hope this helps.
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Re: The distance between two planets is 3.04 × 10^6 light years.  [#permalink]

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New post 31 Jul 2015, 08:20
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TheGmatTutor wrote:
The distance between two planets is 3.04 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

(A) 9.3 × 10^5
(B) 9.9 × 10^6
(C) 9.3 × 10^7
(D) 9.9 × 10^7
(E) 10.1 × 10^8


3.04/3.26 is less than one. None of the option is less than one. So, the 10^6 should be subtracted by 10. Ans 9.3 x 10^5
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Re: The distance between two planets is 3.04 × 10^6 light years.  [#permalink]

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New post 19 Apr 2018, 06:36
Step 1: First convert light years to parsec.
3.04+10^6 * 1 / 3.26
Step 2: We now have the fraction: 3.04+10^6/3.26
Divide – leave out the 10^6 for now. By just looking at fraction we know that it’s <1. This cancels option E.
Step 3: Divide 3.04/3.26 – we get 9.3… Once you have 0.3 as its’ decimal you can stop the division.
Step 4: 10^7 or 10^5? 10^7 isn’t possible as we’re dividing a smaller number with a larger number. The number therefore must become smaller.
Step 5: This leaves out option 10^7 – and therefore we select answer choice A.
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Re: The distance between two planets is 3.04 × 10^6 light years.   [#permalink] 19 Apr 2018, 06:36
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