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# If 4 d x d 12, is the tens digit of x! prime? (1) x is even

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Senior Manager
Joined: 19 Nov 2004
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Location: Germany
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If 4 d x d 12, is the tens digit of x! prime? (1) x is even [#permalink]

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19 Mar 2005, 13:58
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If 4 d x d 12, is the tens digit of x! prime?

(1) x is even
(2) x! has exactly 3 distinct prime factors

PS: I wasn't able to interpret the problem. Any pointers?
VP
Joined: 18 Nov 2004
Posts: 1436
Followers: 2

Kudos [?]: 39 [0], given: 0

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19 Mar 2005, 18:00
"B"

I think the problem is like this ....4<x<12

so x can be 5,6,7,8,9,10,11

state 1....if x = 6.....x! = 720...tens digit is 2 (prime)....if x = 8 ...x! = tens is 2 (prime)....if x = 10.....x! = tens digit is 0 (not prime) ...insuff

state 2....x can be 5, 6 only x! has 2 in tens digit....which is prime...suff..
19 Mar 2005, 18:00
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# If 4 d x d 12, is the tens digit of x! prime? (1) x is even

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