A decade is defined as a complete set of consecutive nonnegative integers that have identical digits in identical places, except for their units digits, with the first decade consisting of the smallest integers that meet the criteria, the second decade consisting of the next smallest integers, etc. A decade in which the prime numbers contain the same set of units digits as do the prime numbers in the second decade is the	Choose the correct option
A) fifth	B) seventh	C) eighth	D) ninth	E) eleventh
From question stem, we know that the first decade consists the smallest integers that meet the above definition   1st decade - 00,01,02,03,04,05,06,07,08,09   The second decade has the next smallest integers that meet the criteria   2nd decade - 10,11,12,13,14,15,16,17,18,19   We need to find the decade in which the prime numbers contain the same set of units digits as do the prime numbers in the second decade   2nd decade - 10,11,12,13,14,15,16,17,18,19   3rd decade - 20,21 --&gt; 21 is not prime . So stop and let's move to the next decade   4th decade - 30,31,32,33 --&gt; 33 is not prime. Stop !   5th decade - 40,41,42,43,44,45,46,47,48,49 -- &gt; 49 is not prime   6th decade - 50,51 --&gt; 51 is not prime . Stop !   7th decade - 60,61,62,63 --&gt; 63 is not prime. Stop!   8th decade - 70,71,72,73,74,75,76,77 --&gt; 77 is not prime. Stop!   9th decade - 80,81 --&gt; 81 is not prime. Stop!   All options have been eliminated except one. So Answer should be (E)   10th decade - 90,91,92,93 --&gt;93 is not prime. Stop!   11th decade - 100,101,102,103,104,105,106,107,108,109 - Match !   Therefore, Correct Answer is (eleventh) i.e eleventh decade
<result>E</result>
A decade is defined as a complete set of consecutive nonnegative integers that have identical digits in identical places, except for their units digits, with the first decade consisting of the smallest integers that meet the criteria, the second decade consisting of the next smallest integers, etc. A decade in which the prime numbers contain the same set of units digits as do the prime numbers in the second decade is the