The closest approximation of (69.28 × 0.004)/0.03 is

Question

A. 0.092
B. 0.92
C. 9.2
D. 92
E. 920

chetan2u · Answer

Hi
 we know for sure that the answer is 9.2* 10^x... and we have to find the value of x..
 69.28*.004/.03 = \frac{6.928*10*4*10^{-3}}{{3*10^{-2}}.} ...
 \frac{{6.928*4}}{3}*10^{-2-3+1} ..
we know  \frac{{6.928*4}}{3} =9.2..
remaining is  10^{2-3+1}=10^{0}=1.. 
so our answer is 9.2. C

torreadortorment · Answer

(69 * 4/1000)/(3/100)
69 * (4/1000) * (100/3)
= 9.2 (Answer Choice C)

KarishmaB · Answer

Options are very far apart so an approximation will work just fine.

\frac{(69.28 × 0.004)}{0.03}

Multiply and divide by 1000 to get rid of some decimals,  \frac{(69.28 × 4)}{30}

69 is more than twice of 30 so in the numerator you will get something more than 2 * 4 = 8.

The answer will be 9.2

PrijitDebnath · Answer

(69.28 × 0.004)/0.03 is
Approximately (70 × 0.004)/0.03 
Approximately (0.28)/0.03 
Approximately 0.3/0.03 
Approximately 10

So, 9.2 is the closest.

Celestial09 · Answer

IMO its C.

(69.28*0.004)/0.03 
= first remove decimals: (69.28*0.004)/3
this gives 2309 approx and multiply by 0.004
there isnt any need to multiply even as by decimal places its 2.309*4... only one option has one digit before decimal that is c 9.2
hence its c

kudos if its a correct solution.

regards
celestial

EMPOWERgmatRichC · Answer

Hi All,

This question is a 'lift' of a similar question in the OGs:

OG13/GMAT2015: Problem Solving #85, page 164
GMAT2016: Problem Solving #105, page 167

GMAT assassins aren't born, they're made,
Rich

manojach87 · Answer

(69.28 × 0.004)/0.03

1. 0.004 = 4 × 10^(-3)
2. 0.03 = 3 × 10^(-2)
3. (a × b)/c = a × (b/c)
4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)
Therefore,

(69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33

Now,
7 × 2 = 14
7 × 1 = 7

or better:

6.9 × 1 = 6.9
6.9 × 2 = 13.8

hence,
6.9 <6.928 × 1.33 < 13.8

9.2 is the only answer that satisfies this condition.

preetamsaha · Answer

The closest approximation of (69.28 × 0.004)/0.03 is

(69.28×0.004)/0.03
=(69.28×4)/30
now,   =2 
so, 69.28/30 will be around 2 which on multiplication with 4 gives around 8.

so, correct answer C

The closest approximation of (69.28 × 0.004)/0.03 is

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The closest approximation of (69.28 × 0.004)/0.03 is

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