Elitmus Exam Numerical Ability Number System

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 no.s (2,3,5,7)

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Elitmus Other Question

How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?
There are six people. Each cast one vote in favor of other five. Who won the elections?

i) 4 older cast their vote in favor of the oldest candidate
ii) 2 younger cast their vote to the second oldest