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0 and 1570

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Manager
Manager
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Joined: 28 Mar 2009
Posts: 74

Kudos [?]: 368 [0], given: 0

0 and 1570 [#permalink]

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New post 04 Jul 2009, 22:23
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How many integers betwen 0 and 1570 have a prime tens digit and a prime units digit?

(A) 295

(B) 252

(C) 236

(D) 96

(E) 76

Kudos [?]: 368 [0], given: 0

Manager
Manager
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Joined: 12 Apr 2009
Posts: 210

Kudos [?]: 243 [0], given: 4

Re: 0 and 1570 [#permalink]

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New post 05 Jul 2009, 01:39
skim wrote:
How many integers betwen 0 and 1570 have a prime tens digit and a prime units digit?

(A) 295

(B) 252

(C) 236

(D) 96

(E) 76


Broke it down to 4 sections

0 - 10 , 11-999, 1000 - 1500, 1500 - 1570

0-10 is {2,3,5,7} = 4
11-999 is (10 possible digits for hundreds unit)(4 prime in tens)(4 prime in unit) = 160
1000 - 1499 = (1)(5)(4)(4) = 80
1500-1557 = (1)(1)(3)(4) = 12

= 256 - I would guess 252. I am making a mistake somewhere. Can someone see it?

Crap! of course 0-10 is not counted.
so it's 252.

B
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Kudos [?]: 243 [0], given: 4

Re: 0 and 1570   [#permalink] 05 Jul 2009, 01:39
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