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Bunuel
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 18 Apr 2016, 01:18
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

83% (01:24) correct 17% (01:50) wrong based on 153 sessions

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If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10
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D
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GMAT Focus 1: 735 Q90 V89 DI81
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 18 Apr 2016, 01:24
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Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10
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Since n is a positive integer and rest of the TERMS in RHS -25×7×81- do not have 2, we have to find the number of 2s in 10!..
=>\([\frac{10}{2}] + [\frac{10}{2^2}] + [\frac{10}{2^3}]+...\) where [x] is the lower integer value of x ..
=>\(5 + 2 + 1 +0 = 8\)
D
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 18 Apr 2016, 11:37
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Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10
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The question simply asks to find the highest power of 2 which divides 10!

So, we need to find the maximum power of 2 as below -

10/2 =5

5/2 = 2

2/1 = 1

Total Powers of 2 is 5+2+1 =8

Answer is definitely (D)
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 18 Apr 2016, 17:09
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The question doesn't ask you to calculate 10!
It only asks you to find the highest power of prime number 2 in 10!
Easiest method to find that
10/2 = 5
5/2= 2 (don't account the remainder)
2/2 = 1

5+2+1 =8

Correct Option : D
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 21 Apr 2016, 11:33
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chetan2u
Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10

Since n is a positive integer and rest of the TERMS in RHS -25×7×81- do not have 2, we have to find the number of 2s in 10!..
=>\([\frac{10}{2}] + [\frac{10}{2^2}] + [\frac{10}{2^3}]+...\) where [x] is the lower integer value of x ..
=>\(5 + 2 + 1 +0 = 8\)
D
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Which formula did you use here?
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 21 Apr 2016, 11:40
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stonecold
chetan2u
Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10

Since n is a positive integer and rest of the TERMS in RHS -25×7×81- do not have 2, we have to find the number of 2s in 10!..
=>\([\frac{10}{2}] + [\frac{10}{2^2}] + [\frac{10}{2^3}]+...\) where [x] is the lower integer value of x ..
=>\(5 + 2 + 1 +0 = 8\)
D

Which formula did you use here?
Show more

Bro please check this post (particularly factorial section) -

math-number-theory-88376.html#p666609

You can download the complete Quants PDF from here ( The concept is cleared in page 22 )

gmat-math-book-in-downloadable-pdf-format-130609.html#p1073182

Hope U find it useful... :-D :lol: :P
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 19 Apr 2020, 09:33
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If n is a positive integer and 10!=25×7×81×2^n what is the value of n?
so,the question asks to find the highest power of 2 which divides 10!
now,the highest power of 2 which divides 10!
= [10/2] + [5/2] + [2/2] + [1/2]
=5+2+1+0
=8
so,the value of n =8

correct answer D
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 25 Apr 2020, 04:13
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Hi Bunuel

Wanted to understand what is the basis for the difficulty level represented in the additional statistics below each question?
I had put a filter of <600 while selecting the questions and currently the difficulty level for most questions that I am taking from this suite is being shown to be as low (5%-20%). Would such kind of questions come in the GMAT?





Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10
Show more
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 25 Apr 2020, 04:18
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Gylmitul
Hi Bunuel

Wanted to understand what is the basis for the difficulty level represented in the additional statistics below each question?
I had put a filter of <600 while selecting the questions and currently the difficulty level for most questions that I am taking from this suite is being shown to be as low (5%-20%). Would such kind of questions come in the GMAT?





Bunuel
If n is a positive integer and \(10!=25×7×81×2^n\), what is the value of n?

A. 2
B. 4
C. 5
D. 8
E. 10
Show more

1. The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question.
2. Yes, you can get easy questions on the test.
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If n is a positive integer and 10!=25×7×81×2^n, what is the value of n 15 Jan 2025, 02:12
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