# TEST EXPLAINED

## Part I : Numerical Section / Numerical Critical Reasoning

**1. The correct answer is ‘D’ – Germany.**

This question requires you to look at the ‘Population Structure 1985’ table. The table tells you the proportion of people in the population of each country aged 60 or over at the beginning of the year, as well as the absolute population of each country at the start of the year.

In order to answer the question, you must calculate the following:

21% of 56.6m = 11.89m people (UK)

19% of 55.2m = 10.49m people (France)

19% of 57.1m = 10.85m people (Italy)

**20% of 61m = 12.2m people (Germany)**

17% of 38.6m = 6.56m people (Spain)

**2. The correct answer is ‘A’ – 23.5%.**

This question requires you to look at the ‘Production of 15mm Buttons’ chart. From here we read that the total button production in September was 85,000; and the number of standard buttons produced was 65,000. Since the total button production comprises only standard and sub-standard buttons, the number of sub-standard buttons produced can be calculated thus:

85,000 (total) – 65,000 (standard) = 20,000 (sub-standard)

Expressed as a percentage of total button production, the 20,000 sub-standard buttons represent :

(20.000 / 85.000) * 100% = **23.5%**

**3. The correct answer is ‘C’ – 1,044,000 births.**

This question requires you to look at the ‘Population Structure 1985’ table. Here we read that in Spain, there were 12.1 live births per 1000 population in 1985; in Italy, this figure was 10.1 live births.

To calculate the absolute number of births in **Spain**, therefore:

(38,600,000 (total population) / 1000) x 12.1 = 467,060 births

and in **Italy**:

(57,100,000 (total population) / 1000) x 10.1 = 576,710

We must then add these two numbers together and round to the nearest 1000 to arrive at the correct answer.

**4. The correct answer is ‘B’ – + 84,900.**

This question requires you to look at the ‘Population Structure 1985’ table. We must work out the absolute number of births and the absolute number of deaths in the UK in 1985, and then consider the difference between these two figures.

In the table we read that there were 13.3 live births per 1000 population, and 11.8 deaths per 1000 population, in the UK 1985. Therefore to calculate the absolute number of births:

(56,600,000 (total population) / 1000) x 13.3 = **752,780 births**

and to calculate the absolute number of deaths:

(56,600,000 (total population) / 1000) x 11.8 = **667,880 deaths**

The number of births is 84,900 higher than the number of deaths.

**5. The correct answer is ‘E’ – No change.**

This question requires you to look at the ‘Production of 15mm Buttons’ chart. We must calculate the total sales value of November and October’s button production. The process for calculating each of these figures is the same.

To calculate the total sales value of October’s button production:

(80,000 (standard button production) / 100) x £5.70 (value of 100 standard buttons) = **£4,560**

+

(20,000 (sub-standard button production) / 100) x £2.85 (value of 100 sub-standard buttons) = **£570**

= **£5,130** (total sales value October)

and for November:

(85,000 (standard button production) / 100) x £5.70 (value of 100 standard buttons) =** £4,845**

+

(10,000 (sub-standard button production) / 100) x £2.85 (value of 100 sub-standard buttons) = **£285**

= **£5,130** (total sales value November)

Therefore the total sales value of November’s button production is the same as the total sales value of October’s button production.

**6. According to reveal answer: The correct answer is ‘C’ – £2,137.50.**

Accordion to reveal tips: This question requires you to look at the ‘Production of 15mm Buttons’ chart. We must calculate the difference between the total sales value for each month, had all the buttons produced been of standard quality, and the actual total sales value for that month, and then add up the figures across all the months.

As an example, consider July. The actual total sales value of buttons produced is calculated thus:

(60,000 (standard button production) / 100) x £5.70 (value of 100 standard buttons) = **£3,420**

+

(10,000 (sub-standard button production) / 100) x £2.85 (value of 100 sub-standard buttons) = **£285**

= £3,705 (total sales value July)

The total sales value, if all the buttons produced had been of standard quality, is calculated thus:

(70,000 (standard button production) / 100) x £5.70 (value of 100 standard buttons) = **£3,990**

The difference between these figures is the loss in potential sales revenue attributable to the production of sub-standard buttons for July (£285).

Following the same process for the other months:

Loss in potential sales revenue August = **£142.50**

Loss in potential sales revenue September = **£570**

Loss in potential sales revenue October = **£570**

Loss in potential sales revenue November = **£285**

Loss in potential sales revenue December = **£285**

Which gives a total loss in potential sales revenue for the six month period of **£2137.5**.

## Part II : The Verbal Test / Verbal Critical Reasoning

1. C

2. B

3. A

4. C

5. B

6. A

7. A

8. C

9. B

10. A