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How many integers between 0 and 1570 have a prime tens digit

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Re: How many integers between 0 and 1570 have a prime tens digit [#permalink]

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New post 21 Nov 2017, 06:15
hardworker_indian wrote:
How many integers between 0 and 1570 have a prime tens digit and a prime units digit?

(A) 295
(B) 252
(C) 236
(D) 96
(E) 76


Prime numbers between 1 and 10 include 2,3,5 and 7.
Total number possibilities for two digit integers (between 1 and 100) = 4*4 = 16
Total number possibilities for three digit integers = 9*4*4 = 144
Possibilities for 4 digit integers (between 1000-1500) = 1*5*4*4 = 80
and between 1500-1570 = 1*1*3*4 = 12
Total number of possibilities = 16+144+80+12 = 252 (B)
Re: How many integers between 0 and 1570 have a prime tens digit   [#permalink] 21 Nov 2017, 06:15
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How many integers between 0 and 1570 have a prime tens digit

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