Numerical Tests - Practical Examples by Caroline Rucinska - HTML preview

TEST 1

1.

 

Bike sales in Powerbike

22
20
18
16
14
12
10
8
6
4
2

0

May June July August

 

Mountain bikes

 

Road bikes

 

Kids bikes

Taking into account the different types of bikes offered by Powerbike, which month showed the highest increase in sales in comparison with the previous month?

A. May B. June C. July D. August E. Cannot say

 

2. Salaries in three selected mid-size companies

 

Company A
Company B
Company C
Salary (EUR) 900 1200 1400 2000
^{Number of 16 25 10 5}employees
Salary (EUR) 1100 1300 1700 2200
^{Number of 8 22 14 10}employees
Salary (EUR) 1300 1500 1700 1900
^{Number of 4 8 12 6}employees

 

What is the average salary in the company B?

 

A. €1220.43 B. €1540.74 C. €1633.33 D. €1789.20 E. €1950.50 3.

 

Gender division for 3 companies

 

Female^Male

 

Perfecto₁₃₅ 97

 

KST¹⁵⁸

 

173 Dermix

 

₁₅₁ 200

In KST, the ratio of employees with some higher education to those with PHDs and those with only secondary education equals 5:2:6. How many employees with PHDs are there in KST?

A. 13 B. 27 C. 39 D. 54 E. 97

 

4.

 

Data of online travel agency Sunny Tours (for 2007)

 

Destination Egypt Tunisia Morocco Arabic RSA Emirates ^{Number of} 1543 795 2150 528 311_customers

 

^{Number of} 5000 2000 5000 1500 700_{offers sent}

% of women
among the 65% 68% 47% 38% 77% customers
% of customers
who bought 18% 28% 15% 10% 8% last minute

How many male customers took advantage of the last minute offer to Morocco?

 

A. 89 B. 110 C. 156 D. 187 E. Cannot say 5.

North
America Europe South
America Central America Africa
Asia

The volume of portfolio investments and FDI for a corporation in division by regions (billion EUR)

2005 2008 Portfolio FDI Portfolio FDI

Investments Investments
60 240 75 320
45 125 35 90
50 110 65 120

15 35 15 55 45 70 35 55 55 170 85 220

 

What part of the total expenditure on direct foreign investment in the Americas in 2005 accounted for South America?

 

A. 29% B. 32% C. 35% D. 41% E. Cannot say

 

6. Cost distribution in the company Hornstadt

 

100%
90%^{13% 9%}
80%^{8% 8%}_7% 11% 70%
outsourcing

^{60% 23%} advertising_34%
50% electricity salaries_40%

materials 30%
49% 20%_38%
10%
0% 1997 2007

Assuming that in 1997 a total of €54,357 was spent, and the electricity expenditure was a third of what it was ten years later, how much approximately was the total expenditure in 2007?

A. €77,890 B. €103,770 C. €120,500

 

D. €155,650 E. None of these answers

 

SOLUTION EXPLANATIONS

 

Bike sales in Powerbike

22
20
18
16
14
12
10
8
6
4
2

0
May June July August

Mountain bikes

 

Road bikes

 

Kids bikes

1. Taking into account the different types of bikes offered by Powerbike, which month showed the highest increase in sales in comparison with the previous month?

A. May B. June C. July D. August E. Cannot say

 

A rise was seen only in July (39-37 = 2). We cannot state what the rise in May was as we don’t dispose of the data from March.

 

------------------------------------------------------------------------------------------------------------------

 

Salaries in three selected mid-size companies

 

Company A
Company B
Company C
Salary (EUR) 900 1200 1400 2000
^{Number of 16 25 10 5}employees
Salary (EUR) 1100 1300 1700 2200
^{Number of 8 22 14 10}employees
Salary (EUR) 1300 1500 1700 1900
^{Number of 4 8 12 6}employees

 

2. What is the average salary in the company B?

 

A. €1220.43 B. €1540.74 C. €1633.33 D. €1789.20 E. €1950.50

In order to calculate the average in this case, multiply the wage by the number of people who get it and then divide by the total of employees:

(1100*8 + 1300*22 + 1700*14 + 2200*100)/54 = 1540.74

 

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Gender division for 3 companies

 

Female^Male

 

Perfecto
97
135

 

173 KST¹⁵⁸

 

Dermix

 

₁₅₁ 200

3. In KST, the ratio of employees with some higher education to those with PHDs and those with only secondary education equals 5:2:6. How many employees with PHDs are there in KST?

A. 13 B. 27 C. 39 D. 54 E. 97

Number of KST workers: 351
We divide it by the sum of parts 5+2+6 = 13 and multiply by the part of people with a doctorate

351 = 27 * 2 = 54
13

------------------------------------------------------------------------------------------------------------------Data of online travel agency Sunny Tours (for 2007)

 

Destination Egypt Tunisia Morocco Arabic South Emirates Africa ^{Number of} 1543 795 2150 528 311_customers

 

^{Number of} 5000 2000 5000 1500 700_{offers sent}

% of women
among the 65% 68% 47% 38% 77% customers
% of customers
who bought 18% 28% 15% 10% 8% last minute

4. How many male customers took advantage of the last minute offer to Morocco?

 

A. 89 B. 110 C. 156 D. 187 E. Cannot say

Don’t be tempted to take 15% of men, because the only data given is that the 15% of the overall number of customers took last minute with no data about the gender division.

------------------------------------------------------------------------------------------------------------------

North
America Europe South
America Central America Africa
Asia

The volume of portfolio investments and FDI for a corporation in division by regions (billion EUR)

2005 2008 Portfolio FDI Portfolio FDI

Investments Investments
60 240 75 320
45 125 35 90
50 110 65 120

15 35 15 55

45 70 35 55 55 170 85 220 5. What part of the total expenditure on direct foreign investment in the Americas in 2005 accounted for South America?

A. 29% B. 32% C. 35% D. 41% E. Cannot say

 

Whole FDI on the American continent: 240+110+35 = €385 trillion South America’s share: (110*100%)/385 = 28.6%

 

------------------------------------------------------------------------------------------------------------------

 

Cost distribution in company Hornstadt

 

100%
90%^{13% 9%}
80%^{8% 8%}_7% 11% 70%
outsourcing

^{60% 23%} advertising_34%
50% electricity salaries_40%

materials 30%
49% 20%_38%
10%
0% 1997 2007

6. Assuming that in 1997 a total of 54 357 € was spent, and the electricity expenditure was a third of what it was ten years later, how much approximately was the total expenditure in 2007?

A. 77 890 € B. 103 770 € C. 120 500 €

 

D. 155 650 € E. None of these answers

Electricity expenses in 1997: 7%*54 357 = 3,804.99 € Electricity expenses in 2007: 3,804.99*3 = 11,414.97 € Expenses total in 2007: (11 415*100%)/11% = 103,772.45 €