1. Which of the statements  about Fischer’s method of computing index is not true ?

2. The data below shows the weight and index numbers for six commodities in the state of Banana :

The weighted index number of the six commodities is 645.6 and the total weight is 300.
Required
a.The weight of commodity C
c.The index number of commodity E

3. The table below shows the year of study and the favorite s subject of 1,460 students of Pamoja University:

Required
If a student is randomly selected from this sample, determine the probability that:
a. The student’s favorite subject is math.
b. The students is in form one (1).
c. The students favorite subject is English given that the student is in Form two(2).
d. The student’s favorite subject is History or English given that the selected student is in form three (3).

4. Two events are said to be_________events when one event occurs if and only if the other does not.

5. TRUE OR FALSE: There are many types of null sets.

6. In the year 2018,The East African Conference was attended by 570 delegates from Kenya, Uganda,& Tanzania (TZ).The following information relates to the delegates who attended the conference:

Required:
a. A Venn diagram to represent the above information.
b. The number of delegates that were not representing any of the three countries.
c. The number of guests that represented only one country.
d. The number of guests that represented two countries only.
e. The number of guests that represented at least two countries.

Moses is paid 12% interest in the first year,10% in the second year and 15% in the third year.
7. Required
The average rate of return of using geometric mean.

8. TRUE OR FALSE: The harmonic mean is the appropriate mean if the data is comprised of rates.

9. __________sampling is a sampling methodology where data is collected from a homogeneous group.

10. Which of the following represents examples of secondary data collection methods?

11. (a)______is sales minus the cost of goods sold, while (b)____ is the the amount by which the cost of a product is increased in order to derive the selling price.

Mateso bought a Fridge set on hire purchase terms. The deposit was indicated as kshs 70,000 and the balance payable in 12 equal instalments of kshs 9,000. As a policy of the company, a customer who defaults on an instalment is charged a penalty of 10% on the outstanding balance payable in the next month. Mateso defaulted on the fifth month instalment and the ninth month installment
Required:The total cost of the Fridge bought by Mateso

13. __________matrix refers to a square matrix in which all the off-diagonal elements are zero and all the on-diagonal elements are equal.

14. Tazama sales two types of hats;Black and Red. The cost of producing 20 black hates and 16 red hats of kshs 8,120. The cost of producing 8 black hats and 14 red hats is kshs 5,680. Tazama makes a mark-up of 20% and 30% on queen cakes and black forest respectively.

Required:
a. Using matrix algebra, determine the cost of producing a black hat and a red hat.

b. The selling price of a black hat and a red hat.

15. The total manufacturing cost function of Lawingu ltd is quadratic in nature and passes through the following points:

Required:
(a).The total manufacturing cost function.
(b).The total manufacturing cost incurred in producing 250 units of the product