MBA Exam

First 100 natural numbers in the decimal system are converted to base 6 and their product is found. Find the number of consecutive zeros at the end of the product as counted in the base 6 system.Please also provide a brief explanation if psbl

1) 124
2) 130
3) 140
4) 120

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MBA Other Question

‘Century’ is a game played between two people as follows. The first player calls a number between 1 to 10. The second player increases this number by any number from 1 to 10. Players play alternately by always increasing the last number called by any player from 1 to 10. The objective is to be the first person to reach 100.Based on the information given below and answer the following questions.Question: During the course of the game your opponent calls ‘87’. What should be your call now to ensure that you win the game?

1) 88
2) 89
3) 90
4) A win cannot be ensured
Suppose a function is defined over a set of natural numbers as follows:f(1)=1,f(2)=1,f(3)=-1,and f(n)=f(n-1)f(n-3) whenever n>3.Find the value of f(694)+f(695) ?

1) -2
2) -1
3) 1
4) 2
5) 3