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Math Expert V
Joined: 02 Sep 2009
Posts: 58396

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Difficulty:   25% (medium)

Question Stats: 80% (00:44) correct 20% (00:43) wrong based on 80 sessions

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Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

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Math Expert V
Joined: 02 Sep 2009
Posts: 58396

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Official Solution:

Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

Notice that the numerator is slightly less than the denominator: $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)} \approx \frac{20+4.97}{20+5.03}$$, thus the fraction will be less than, but very close to 1.

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Intern  Joined: 21 Oct 2015
Posts: 45
GMAT 1: 620 Q47 V28 Show Tags

What's the harm in ignoring 0.02 in numerator/denominator? I suppose minimal. Also, let's approximate other numbers.

4.97 -> 5
5.03 -> 5

Equation becomes:
(998+5)/(1002+5) = 1003/1007

Too close. C would be the best approximation.

Cheers.

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Intern  S
Joined: 05 Oct 2017
Posts: 43
Concentration: Accounting, Social Entrepreneurship

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1
Bunuel wrote:
Official Solution:

Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

Notice that the numerator is slightly less than the denominator: $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)} \approx \frac{20+4.97}{20+5.03}$$, thus the fraction will be less than, but very close to 1.

after a little bit calculation I got 24.93 as numerator and 25.07 as denominator. then I ended up selecting answer choice D.
The numerator is slightly greater than 25. why don't you consider that?
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.... You are already NAKED. There is NO reason not to FOLLOW your heart.
Math Expert V
Joined: 02 Sep 2009
Posts: 58396

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1
rashedBhai wrote:
Bunuel wrote:
Official Solution:

Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

Notice that the numerator is slightly less than the denominator: $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)} \approx \frac{20+4.97}{20+5.03}$$, thus the fraction will be less than, but very close to 1.

after a little bit calculation I got 24.93 as numerator and 25.07 as denominator. then I ended up selecting answer choice D.
The numerator is slightly greater than 25. why don't you consider that?

even according to your calculations the numerator (24.93) is LESS than the denominator (25.07), so the fraction must be less than 1.
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Intern  S
Joined: 05 Oct 2017
Posts: 43
Concentration: Accounting, Social Entrepreneurship

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got it. Thanks.

Posted from my mobile device
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.... You are already NAKED. There is NO reason not to FOLLOW your heart. Re: M10-22   [#permalink] 18 Oct 2018, 05:10
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