Numerical Tests - Practical Examples by Caroline Rucinska - HTML preview

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TEST 1

1.

 

Bike sales in Powerbike

22
20
18
16
14
12
10
8
6
4
2

00004.jpg

0

May June July August

 

00005.jpgMountain bikes

 

00006.jpgRoad bikes

 

00007.jpgKids 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 5employees
Salary (EUR) 1100 1300 1700 2200
Number of 8 22 14 10employees
Salary (EUR) 1300 1500 1700 1900
Number of 4 8 12 6employees

 

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

 

FemaleMale

 

00008.jpgPerfecto135 97

 

00009.jpgKST158

 

00010.jpg00011.jpg00012.jpg00013.jpg173 00014.jpg00015.jpgDermix

 

00016.jpg00017.jpg00018.jpg00019.jpg00020.jpg00021.jpg00022.jpg00023.jpg00024.jpg00025.jpg151 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 311customers

 

Number of 5000 2000 5000 1500 700offers 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% advertising34%
50% electricity salaries40%

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

00026.jpg

0
May June July August

00027.jpgMountain bikes

 

00028.jpgRoad bikes

 

00029.jpgKids 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 5employees
Salary (EUR) 1100 1300 1700 2200
Number of 8 22 14 10employees
Salary (EUR) 1300 1500 1700 1900
Number of 4 8 12 6employees

 

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

 

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

 

Gender division for 3 companies

 

FemaleMale

 

00030.jpgPerfecto
97
135

 

00031.jpg00032.jpg173 00033.jpgKST158

 

00034.jpg00035.jpg00036.jpg00037.jpgDermix

 

00038.jpg00039.jpg00040.jpg00041.jpg00042.jpg00043.jpg00044.jpg00045.jpg00046.jpg00047.jpg151 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 311customers

 

Number of 5000 2000 5000 1500 700offers 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% advertising34%
50% electricity salaries40%

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 €