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Bunuel
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get all the options in the denominator 9!*5 and then compare.
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nick1816
A. \((\frac{3}{8!})\)

B. \(\frac{6*4*2}{5*9} *(\frac{3}{8!})\)= \(\frac{16}{15}*(\frac{3}{8!})\) > A

C. \(\frac{4*2}{9} *(\frac{3}{8!})\)= \(\frac{8}{9}*(\frac{3}{8!})\) < B

D. \(\frac{3*8}{5} *(\frac{3}{8!})\)= \(\frac{24}{5}*(\frac{3}{8!})\) > B

E. \(\frac{14}{5*3} *(\frac{3}{8!})\)= \(\frac{14}{15}*(\frac{3}{8!})\) < D

D

Bunuel
Which of the following fractions has the greatest value?

A. \(\frac {3}{8!}\)

B. \(\frac{6(4!)}{5(9!)}\)

C. \(\frac{4(3!)}{9!}\)

D. \(\frac{3}{5(7!)}\)

E. \(\frac{14}{5(8!)}\)


Are You Up For the Challenge: 700 Level Questions

Hello! Could you please elaborate your approach?

Thanks in advance. :)
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nick1816
A. \((\frac{3}{8!})\)

B. \(\frac{6*4*2}{5*9} *(\frac{3}{8!})\)= \(\frac{16}{15}*(\frac{3}{8!})\) > A

C. \(\frac{4*2}{9} *(\frac{3}{8!})\)= \(\frac{8}{9}*(\frac{3}{8!})\) < B

D. \(\frac{3*8}{5} *(\frac{3}{8!})\)= \(\frac{24}{5}*(\frac{3}{8!})\) > B

E. \(\frac{14}{5*3} *(\frac{3}{8!})\)= \(\frac{14}{15}*(\frac{3}{8!})\) < D

D

Bunuel
Which of the following fractions has the greatest value?

A. \(\frac {3}{8!}\)

B. \(\frac{6(4!)}{5(9!)}\)

C. \(\frac{4(3!)}{9!}\)

D. \(\frac{3}{5(7!)}\)

E. \(\frac{14}{5(8!)}\)


Are You Up For the Challenge: 700 Level Questions

Hello! Could you please elaborate your approach?

Thanks in advance. :)

Dear,

Which one is the greatest?

A. 1

B. 16/15 x 1

C. 8/9 x 1

D. 24/5 x 1

E. 14/15 x 1

If you get the answer just replace 1 with 3/8!.

Hope it helps.
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nick1816
A. \((\frac{3}{8!})\)

B. \(\frac{6*4*2}{5*9} *(\frac{3}{8!})\)= \(\frac{16}{15}*(\frac{3}{8!})\) > A

C. \(\frac{4*2}{9} *(\frac{3}{8!})\)= \(\frac{8}{9}*(\frac{3}{8!})\) < B

D. \(\frac{3*8}{5} *(\frac{3}{8!})\)= \(\frac{24}{5}*(\frac{3}{8!})\) > B

E. \(\frac{14}{5*3} *(\frac{3}{8!})\)= \(\frac{14}{15}*(\frac{3}{8!})\) < D

D

Bunuel
Which of the following fractions has the greatest value?

A. \(\frac {3}{8!}\)

B. \(\frac{6(4!)}{5(9!)}\)

C. \(\frac{4(3!)}{9!}\)

D. \(\frac{3}{5(7!)}\)

E. \(\frac{14}{5(8!)}\)


Are You Up For the Challenge: 700 Level Questions

Can someone confirm - is there a mistake here? Specifically, D should be \(\frac{2*8}{5} *(\frac{3}{8!})\)= \(\frac{16}{5}*(\frac{3}{8!})\) > B

I.e. 2*8 not 3*8 ?
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it was one amongst the easiest questions ever answered
A. (38!)(38!)

B. 6∗4∗25∗9∗(38!)6∗4∗25∗9∗(38!)= 1615∗(38!)1615∗(38!)

C. 4∗29∗(38!)4∗29∗(38!)= 89∗(38!)89∗(38!)

D. 3∗85∗(38!)3∗85∗(38!)= 245∗(38!)245∗(38!)

E. 145∗3∗(38!)145∗3∗(38!)= 1415∗(38!)1415∗(38!)

among all of these D had the freatest value hence IMO D
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Hello ,
I converted all to base of 7! for comparison
A 3/(8*7!)
B 2/(5*7!)
C 1/(3*7!)
D 3/(5*7!)
E 7/(20*7!)

Hence option D is correct answer
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