MBA Exam

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

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MBA Other Question

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
Answer the questions on the basis of the information given below.In a box, there are 24 balls numbered 1 through 24. Out of the 24 balls, the numbers of balls that are coloured black, red and green are 10, 8 and 6 respectively. If Alan randomly takes out 6 balls from the box, then the total number of ways in which 2 green balls can be taken out from the box by Lamb is 15 and the probability of taking out a red ball is half the probability of taking out a non-red one.How many red balls were taken out from the box by Alan?

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