(39,897)(0.0096)/198.76 is approximately

Question

\frac{(39,897)(0.0096)}{198.76}  is approximately

A. 0.02

B. 0.2

C. 2

D. 20

E. 200

OG Q 2017 (Book Question: 71)

Abhishek009 · Accepted Answer

\frac{(39,897)(0.0096)}{198.76}  ~ (40000 * 0.01)/200

=> 200*0.01 = 2
 
Hence correct answer will be (C)

Kurtosis · Answer

198.76 = 199 (approx)

398xx/199 = 200

200 * 0.0096 = 200 * 0.01 = 2

Answer: C

Divyadisha · Answer

39,897 can be written as 40,000 (approximately)
0.0096 can be written as 0.01 (approximately
198.76 can be written as 200 (approximately)

40,000*0.01/ 200= 2 (approximately)

C is the answer

diegocml · Answer

\cfrac { (39,897)(0.0096) }{ 198.76 } \approx \cfrac { \left( 40,000 \right) \left( 0.01 \right) }{ 200 } \approx \cfrac { \left( 400 \right) \left( 0.01 \right) }{ 2 } \approx \left( 200 \right) \left( 0.01 \right) \approx \left( 2\ast { 10 }^{ 2 } \right) \left( 1\ast { 10 }^{ -2 } \right) \approx 2

Abhishek009 · Answer

=>  \frac{40,000*0.01}{200}

=> 2

Thus, the correct answer must be (C) 2

BigAdam · Answer

Answer C. Are y'all sure that this is a 600-700 level question? Im wondering how to determine the difficulty..

generis · Answer

Round the numbers and "cross off" (factor out) zeros

39,897\approx40,000 
 .0096\approx.01  (use ONLY the 9 to round)**
 198.76\approx200

\frac{(40,000)(.01)}{200}

\frac{(400)(.01)}{2}=(200)(.01)

(200)(.01)=(200)(\frac{1}{100})=(2*1)=2

Answer C

**Or write  \frac{96}{10,000}\approx\frac{100}{10,000}=\frac{1}{100}=.01

BigAdam  ,  Bunuel  answers this question often, but I can't find an example at the moment. 
Co-founder of GMAT Club,  bb  , explains the issue well  here

Hope that helps.

ScottTargetTestPrep · Answer

Estimating, we have:

(40,000 x 0.01)/200 = 400/200 = 2

Answer: C

bumpbot · Answer

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(39,897)(0.0096)/198.76 is approximately

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(39,897)(0.0096)/198.76 is approximately

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