Question

See the question in the picture

Answer 1

Hello,

Let's n the number reseached.
n=3*a+2 ==>n-2=3a
n=4*b+2 ==>n-2=4b
n=5*c+2 ==>n-2=5c

n-2 is the LCM (lower commun multiple) of 3,4,5 thus 60
and n=60+2=62

Proof:
62=3*20+2
62=4*15+2
62=5*12+2