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Problem Solving (PS) | Re: 12 Days of Christmas GMAT Competition - Day 8: Which of the following

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Bunuel wrote:

12 Days of Christmas 🎅 GMAT Competition with Lots of Questions &Fun

Which of the following has the greatest value?

A.\(400!*80!\)
B.\(480!\)
C.\(360!*120!\)
D.\(120!^4\)
E.\(240!^2\)












 



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Since all options revolve around 480, we have to see how many numbers are we multiplying and what is their magnitude:
A: 400!*80!= we are multiplying nos. before 400 together and then we are multiplying them with nos. before 80 (till 1) together.
B: 480!=we are multiplying nos. before 480 till 1 . If we compare with option A, from 400 to 1 everything is common but after that in option A we multiply with nos. below 80 whereas in option B we multiply with nos. above 400, till 480.
Therefore, going by this logic we can clearly see that option B is greatest of all.

C: after 360, we multiply with nos. below 120
D: multiply nos. below 120 4 times, whereas in option B we multiply all nos. after 120 till 480. therefore B>D.
E: same logic asD

IMO, answer isB
...

Statistics : Posted by bPra • on 20 Dec 2023, 06:00 • Replies 33 • Views 551



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