How many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number? for example if we take 98 then 9*8=72, 72=7*2=14, 14=1*4=4. Consider only 4 prime numbers (2,3,5,7)
Select the correct option
A) 27	B) 28	C) 18	D) 99	E) 01
Explanation:   2 = 12 or 21 So 1×2, 2×1, 3×4, 4×3, 2×6, 6×2, 3×7, 7×3   3 = 13 or 31 So 1×3, 3×1   5 = 15, 51 So 1×5, 5×1, 3×5, 5×3, 7×5, 5×7   7 = 17 or 71 So 1×7, 7×1   15 = 3×5 = 5×3   So total 18 numbers = 12,13,15,17,21,26,31,34,35,37,43,51,53,57,62,71,73,75   Answer:18
<result>C</result>
How many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number? for example if we take 98 then 9*8=72, 72=7*2=14, 14=1*4=4. Consider only 4 prime numbers (2,3,5,7)