# FREE Traffic Enforcement Mathematical Reasoning Question and Answers

#### What percentage of Health employees would be female in three years if the number of women working there rises by 10% annually while the number of men stays the same?

Explanation:

Female employees

223 x 1.1 = 245

245 x 1.1 = 270

270 x 1.1 = 297

Male employees

164

Total employees

297 + 164 = 461

Female percentage: (297 / 461) x 100 = 64.4%

#### What percentage of men to women are unemployed?

Explanation:

To find the answer double both genders’ figures:

63:68

126:136

#### What proportion of total output did benches make up throughout the course of the six years?

Explanation:

To determine the answer to this query, we must first determine the total number of items produced, after which we must determine what proportion the total number of benches represents:

Total Tables = 125,000

Total Benches = 85,000

125,000 + 85,000 = 210,000

85,000 / 210,000 x 100 = 40.5

#### What was the difference between year five and year six's total bench and table production?

Explanation:

We need to add the values from Year 5 and subtract it from the total value in year 6:

25 + 20 = 45

30 + 25 = 55

55 - 45 = 10

#### What percentage of those who took the test were unemployed, on average?

Explanation:

Male total = 654

Female total = 611

Total = 654 + 611 = 1,265

Total unemployed: 63 + 68 = 131

Percentage unemployed: (131 / 1,265) x 100 = 10%

#### Assume that year three's total production costs were £150,000. How much did it cost to produce one bench if one table cost £2.50 to make?

Explanation:

We must calculate the cost of producing 20,000 tables at a cost of £2.50 to discover the answer. The remaining cost must then be divided by the 10,000 benches to see how much is left:

2.50 x 20,000 = 50,000

150,000 - 50,000 = 100,000

100,000 / 10,000 = 10

#### How many more men will work in the industry if there is a 20% increase in female engineers next year but no change in the number of men?

Explanation:

Female engineers

101,000 x 1.2 = 121.200

Male engineers: 156,000

Difference: 156,000 – 121,200 = 34,800