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12 Dec 2016, 12:43
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
70% (00:42) correct
30%
(01:05)
wrong
based on 283
sessions
History
Date
Time
Result
Not Attempted Yet
What is the greatest value of n such that 7^n is a factor of 50! ?
A. 8
B. 7
C. 6
D. 3
E. 2
A. 8
B. 7
C. 6
D. 3
E. 2
sashiim20
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 608
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Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 608
07 May 2017, 12:48
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What is the greatest value of n such that \(7^n\) is a factor of 50! ?
Using the formula to find number of powers of a prime number "p" in "n!"
Formula = n/p + n/\(p^2\) + n/\(p^3\) .... till \(p^x\)<n
Therefore in the above question ...
50/7 + 50/\(7^2\) = \(\frac{50}{7}\) + \(\frac{50}{49}\) = 7+1 = 8... Answer A
_________________
P.S. Don't forget to give Kudos
Using the formula to find number of powers of a prime number "p" in "n!"
Formula = n/p + n/\(p^2\) + n/\(p^3\) .... till \(p^x\)<n
Therefore in the above question ...
50/7 + 50/\(7^2\) = \(\frac{50}{7}\) + \(\frac{50}{49}\) = 7+1 = 8... Answer A
_________________
P.S. Don't forget to give Kudos
General Discussion
12 Dec 2016, 13:51
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\([\frac{50}{7}] + [\frac{50}{7^2}] = 7 + 1 = 8\)
Answer A
Answer A
