Elitmus Exam Numerical Ability Age Problem

four plane mirrors are given.they are erected on the earth perpendicular to the earth forming a rectangle.its reflective surface is inside the rectangular body.longer mirrors have length 15cm and smaller one has length 5 cm. this rectangular body is made in such a way that except laser beam nothing can pass into the body from its corners.
let us assume that corners are named as A,B,C,D.now from point A, a beam is being incident on BC mirror.if BC got the smaller length then find after how much distance travelling beam will leave the body.

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Elitmus Other Question

How many maximum prime factors can a number of format y0y00 can have ?
eg..20200
a beggar collects some money at the end of the day. his money contains four types of coins: 1paise coins ,5paise coins ,10paise coins ,25paise coins.
when he came back to his home he gave all his money to his children and asked them to divide it equally among all but every one must have unique combination of paise..children did so. after this beggar realizes that if he had one more children no unique combination would be possible for that child..
Now answer these question based on these information:

Ques_01:
if he collect 50 paise then how many children he had?

Ques_02:
if he collect 45 paise then how many children he had?