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Which of the following is greater than 2,000.02?

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Which of the following is greater than 2,000.02?  [#permalink]

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New post 22 Jun 2017, 08:25
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:05) correct 16% (01:15) wrong based on 110 sessions

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Director
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Posts: 750
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Concentration: Technology, Strategy
WE: Information Technology (Consulting)
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Re: Which of the following is greater than 2,000.02?  [#permalink]

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New post 22 Jun 2017, 08:38
Bunuel wrote:
Which of the following is greater than 2,000.02?

A. \(0.00020002 * 10^7\)

B. \(0.00020002 * 10^6\)

C. \(2.002 * 10^2\)

D. \(2.02 * 10^{(-4)}\)

E. \(200,0200 * 10^{(-4)}\)


Check the options.

A. \(0.00020002 * 10^7 = 20002 * 10^{-8} * 10^7 = 20002 * 10^{-1} = 2000.2\) --------- Greater than 2,000.02 .

B. \(0.00020002 * 10^6 = 20002 * 10^{-8} * 10^6 = 20002 * 10^{-2} = 200.02\)

C. \(2.002 * 10^2 = 200.2\)

D. \(2.02 * 10^{(-4)} = 0.000202\)

E. \(200,0200 * 10^{(-4)} = 200.0200\)

Answer (A) ...
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Which of the following is greater than 2,000.02?  [#permalink]

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New post 22 Jun 2017, 22:41
Bunuel wrote:
Which of the following is greater than 2,000.02?

A. \(0.00020002 * 10^7\)

B. \(0.00020002 * 10^6\)

C. \(2.002 * 10^2\)

D. \(2.02 * 10^{(-4)}\)

E. \(200,0200 * 10^{(-4)}\)


Though this is a sub 600 level question, but it needs to be solved very very carefully.

Firstly, to find out the correct solutions and
Secondly, to do it in minimum time possible.

A simple mistake will cost you marks or time which is equivalent to marks. Though I did in 44 second but it should have been done in 25 seconds because I didn't noticed the difference between option A i.e. 2000.2 and 2000.02. A silly mistake. As soon as I completed option C , I realized that I have done some mistake and then rechecked to find that option A was correct .

Basically my mistake was to do the question in just 15 second and ultimately ended up with 44 second with some loss in confidence due to silly mistakes. If I would have planned to do in 25 seconds calmly and might have ended up doing in 10 seconds as option A was correct. So what I have learnt is if you go for solving very fast you are prone to do mistakes. So to get a better score solving is necessary in minimum time, but taking care of accuracy is also very important.

So here is the solution to the question.

A. 0.00020002 * 10^7 = 2000.2 >2000.02 .. We got the answer

You can check other options, just to be sure
B. 0.00020002 * 10^6 = 200.02 < 2000.02

C. 2.002 * 10^2 = 200.2 < 2000.02

D. \(2.02 * 10^{(-4)}\) = 0.000202 < 2000.02

E. \(200,0200 * 10^{(-4)}\) = 200.02 < 2000.02

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Re: Which of the following is greater than 2,000.02?  [#permalink]

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New post 18 Jul 2017, 10:18
Eliminated D and E straight away since minus power means value going to further decrease
on a very rough look only A and B seems our catch so check both
A-2000.2
B-2000.02
So A is the right choice
GMAT Club Bot
Re: Which of the following is greater than 2,000.02?   [#permalink] 18 Jul 2017, 10:18
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Which of the following is greater than 2,000.02?

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