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A computer can perform 1,000,000 calculations per second. At this rate

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Yurik79
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A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   Updated on: 21 Sep 2019, 14:47
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A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

A. 60
B. 100
C. 600
D. 1,000
E. 6,000

PS83502.01
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B

Originally posted by Yurik79 on 19 Jun 2006, 10:24.
Last edited by Bunuel on 21 Sep 2019, 14:47, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   19 Jun 2006, 10:38
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B) 100
1000000 is 10^6, therefore we have the speed of 10^6 per second or 3600x10^6 = 3.6x10^9 per hour. Now, we need to make 10^2 or 100 times more calculations, therefore it will take 100 hours.
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   10 Jun 2015, 02:17
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A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

A. 60
B. 100
C. 600
D. 1,000
E. 6,000

Always read carefully. It could be easy to read quickly and miss that the rate is given in seconds but the answer choices are given in hours. The first step is to convert the rate into hours. This will make the calculations easier.
1000000 calculations = 1 x 10^6 calculations
The rate is 3.6 x 10^9 calculations per hour.
3.6 * 10^9 calculations per hour= 3.6 * 10^11 calculations per x hours
(3.6 *10^9 calculations per hour) ÷ (3.6 * 10^11 calculations) = x hours
x hours = 10^2 = 100
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   09 Jun 2015, 14:35
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I would say answer B
Because the computer can calculate 1,000,000 calculations per second OR 3600,000,000 (3600*1,000,000) per hour, which is similar to 3.6*10^9.
The question states a problem of the magnitude 3.6^11

11-9 = 2, therefore 10^2 = 100
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   08 Jan 2020, 20:40
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Yurik79 wrote:
A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

A. 60
B. 100
C. 600
D. 1,000
E. 6,000

PS83502.01


We note that 1,000,000 = 10^6. Thus, the number of seconds it takes to perform 3.6*10^11 calculations is:

(3.6*10^11 / 10^6) = 3.6 x 10^5

Since 1 hour = 3600 seconds, the number of hours is:

3.6 x 10^5 / 3.6 x 10^3 = = 10^2 = 100

Answer: B
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   19 Jun 2006, 11:12
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B. (3.6 x 10^11)/10^6 = 36 x 10^4 seconds = 100 hours
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   25 Jul 2008, 12:53
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djdela wrote:
A computer can perform 1,000,000 calculations per second. At this rate , how many hours will it take this computer to perform the 3.6 x 10^11 calculations required to solve a certain problem.

a)60
b) 100
c) 600
d) 1,000
e) 6000

(3.6 x 10^11 )/ (10^5) = 3.6 * 10 ^5 sec
= (3600 * 10^2 ) /3600 hrs
= 100 hrs

B
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   15 Oct 2010, 15:48
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rtaha2412 wrote:
Thanks for the help team!

Question

A computer can perform 1,000,000 calculations per second. At this rate, how many HOURS will it take this computer to perform the\(3.6 x 10^11\) calculations required to solve a problem?

a 60
b 100
c 600
d 1000
e 6000


b. 100
per hour the computer performs \(3600 X 10^6\) calculations which is = \(3.6 X 10^9\)
So time taken to perform \(3.6 X 10^11\) calculations = \(3.6 X 10^11\)/\(3.6 X 10^9\) = 100hrs
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   20 Nov 2019, 18:52
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Yurik79 wrote:
A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

A. 60
B. 100
C. 600
D. 1,000
E. 6,000

PS83502.01


1 million (6 zeros) per second.

We need to perform 3.6*(10^11). Which is 36*10^10. Let's take out the million (6 zeros so we are left with 4 zeros) 36,0000 Millions

We need number of hours so let's divide by 3600. (60minutes*60seconds)

360000/3600=100

Hence B.

Note: Just play with zeros carefully that's it
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   19 Jun 2006, 11:41
B) 100

(3.6 x 10^11)/(60x60x10^6)
= 10^4/100 = 100 hours
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   19 Jun 2006, 12:26
Yurik79 wrote:
A computer can perform 1,000,000 calculations per second.At this rate, how many hours will it take this computer to perform 3.6x10^11 calculations required to solve a certain problem?
A)60
B)100
C)600
D)1000
E)6000


36*10^10/10^6 = 36*10^4/(36*10^2) = 100 hours
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   19 Jun 2006, 12:47
(B)

total time in secs = 3.6 * 10^11/10^6 = 3.6 * 10^5 secs
= 3.6 * 10^5/3600 hrs = 100 hrs
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   25 Jul 2008, 12:41
djdela wrote:
A computer can perform 1,000,000 calculations per second. At this rate , how many hours will it take this computer to perform the 3.6 x 10^11 calculations required to solve a certain problem.

a)60
b) 100
c) 600
d) 1,000
e) 6000


B

1 x 10^6 calc/sec = 1 x 10^6 calc/sec * 60 sec/min * 60 min/hr = 1 x 10^6 calc/sec * 3600 sec/hr = 1 x 10^6 calc/sec * 3.6 x 10^3 sec/hr = 3.6 x 10^9 calc/hr

3.6 x 10^11 calc / 3.6 x 10^9 calc/hr = 10^2 hr = 100 hr
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   18 Oct 2016, 10:20
100.

Here's the calculation you should have derived:

(3.6 x 10^11 calc) x (1sec/10^6) x (1min/60sec) x (1hr/60min)
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   08 May 2017, 10:59
Yurik79 wrote:
A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

A. 60
B. 100
C. 600
D. 1,000
E. 6,000


Computer can perform = 10^6 calculations /sec
So for 3.6 x 10^11 calculations it will require 360000 seconds for computing.

i.e., 360000 seconds = 360000/ (60 x 60) hours = 100 hours.
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   23 May 2020, 11:20
We just need to divide the total time by cal per sec

3.6 * 10 ^ 11 / 10 ^ 6 = 3.6 * 10 ^5 = 360000 sec

Now 1 hr = 3600 sec

so
360000 sec = 360000/ 3600 hrs = 100 hrs
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A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   12 Nov 2020, 05:19
A computer can perform 1,000,000 calculations per second. At this rate, how many hours will it take this computer to perform the 3.6*10^11 calculations required to solve a certain problem?

My approach:

A computer can perform \(10^6\) calculations per second. How many hours will it take to perform \(3.6*10^11\)?

\(\frac{3.6 *10^{11} }{ 10^6} = 3.6 * 10^5\) seconds

\(\frac{360000 }{ 3600} = 100 hours\)

Answer is B
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Re: A computer can perform 1,000,000 calculations per second. At this rate [#permalink] New post   27 Feb 2024, 12:08
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