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Bunuel
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Let n = 11!. What is the smallest non-prime positive integer that is n 13 Dec 2018, 00:28
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D
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25% (medium)

Question Stats:

73% (00:58) correct 27% (00:59) wrong based on 193 sessions

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Let n = 11!. What is the smallest non-prime positive integer that is not a factor of n?

A. 12
B. 13
C. 14
D. 26
E. 34
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D
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Let n = 11!. What is the smallest non-prime positive integer that is n 13 Dec 2018, 00:45
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Bunuel
Let n = 11!. What is the smallest non-prime positive integer that is not a factor of n?

A. 12
B. 13
C. 14
D. 26
E. 34
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11! = (1) * (2) * (3) * (2 * 2) * (5) * (2 *3) * (7) * (2 * 2 * 2) * (3 * 3) * (2 * 5) * (11)

A. 12 = 2*2*3 (Can be a factor) Out

B. 13 = (Prime Number) Out

C. 14 = 2*7 (Can be a factor) Out

D. 26 = 2*13 (We don't have 13) Valid value

E. 34 = 2*17 (We don't have 17) Valid value

Now from D and E, D is the smaller number

Hence (D) IMO
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Let n = 11!. What is the smallest non-prime positive integer that is n 13 Dec 2018, 02:05
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Bunuel
Let n = 11!. What is the smallest non-prime positive integer that is not a factor of n?

A. 12
B. 13
C. 14
D. 26
E. 34
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from the range of 11! , only integer non prime smallest would be 26.. as 26= 2* 13 .. IMO D
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Let n = 11!. What is the smallest non-prime positive integer that is n 13 Dec 2018, 03:07
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Bunuel
Let n = 11!. What is the smallest non-prime positive integer that is not a factor of n?

A. 12
B. 13
C. 14
D. 26
E. 34
Show more


11! = n.

we are looking for non prime smallest integer that is not a factor of n.

cancel out B as it's a prime.

12 = 2*3*2. part of n.

14 = 7*2. part of n.

26 = 13*2......................13 is not the part of 11!.

Best answer is D.
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Let n = 11!. What is the smallest non-prime positive integer that is n 14 Jul 2024, 15:51
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