Numerical Reasoning Test 1

• This is Numerical Reasoning Test 1 and contains solutions.
• The test contains 12 questions to be answered in 15 minutes.
• Only one of the four possible answers for each question is correct.
• Calculators and rough paper are allowed for calculations.

Question 1

• The question requires recognizing that sales figures are cumulative.
• Bernd cumulative sales at the end of April are 9,000.
• Bernd cumulative sales at the end of May are 10,000.
• Therefore, Bernd cars sold in May = 10,000 - 9,000 = 1,000.

Question 2

• To find the total sales of Tymko cars for May, June, and July combined, calculate (cumulative sales for end of July) – (cumulative sales end of April).
• (Cumulative sales July) – (Cumulative sales April) = 21,000 - 15,000 = 6,000.

Question 3

• To determine how many more Bernd cars would have been sold during July if sales equaled June, first find Bernd cars sales in June, which is 1,000.
• Compare this with actual July sales of Bernd cars which are 0.
• The difference is 1,000 - 0 = 1,000 cars.

Question 4

• In Liverpool, the starting population in 2000 was 500,000.
• There were 13.4 births per thousand, totaling (500 x 13.4) = 6,700 births.
• There were 12.4 deaths per thousand, totaling (500 x 12.4) = 6,200 deaths.
• The net effect on population is 6,700 – 6,200 = 500 increase.

Question 5

• To calculate combined live births in Birmingham and Glasgow in 2000:
• Birmingham had 995 x 13.6 = 13,532 births.
• Glasgow had 600 x 13.8 = 8,280 births.
• In total, there were 13,532 + 8,280 = 21,812 births.

Question 6

• To find which city had the lowest number of people under 15 at the start of 2000, calculate for each city.
• Birmingham: 995 x 0.18 = 179.1
• Glasgow: 600 x 0.21 = 126
• Liverpool: 500 x 0.22 = 110
• Leeds: 450 x 0.23 = 103.5
• Leeds had the lowest number.

Question 7

• Percentage increase in public transport spending from 2007 to 2008 is calculated by:
• UK: 38 ÷ 35 = 8.57% increase
• US: 136 ÷ 128 = 6.25% increase
• Germany: 46 ÷ 44 = 4.55% increase
• Italy: 28 ÷ 26 = 7.69% increase
• The UK experienced the largest increase.

Question 8

• To find which country had the highest public transport spend per capita in 2008, divide public transport spend by the population.
• UK: 38 ÷ 60.1 = 0.632
• US: 136 ÷ 302.5 = 0.450
• Germany: 46 ÷ 84.3 = 0.546
• The UK had the highest spend per capita.

Question 9

• In 2007, Italy's target spending was 8% more than in 2006.
• Italy spent £25 billion in 2006, so the target was £25 billion x 1.08 = £27 billion.
• Italy actually spent £26 billion, so they were £1 billion short of the target.

Question 10

• To address the question of which website's visitors were most likely to make purchases, calculate the percentage of purchasers from each:
• Website W: 2,876 ÷ 315,380 = 0.912%
• Website X: 284 ÷ 26,850 = 1.06%
• Website Y: 183 ÷ 82,520 = 0.222%
• Website Z: 204 ÷ 12,630 = 1.62%
• Website Z visitors were most likely to make a purchase.

Question 11

• To find the approximate difference in profit between Website X and Website Y visitors:
• Calculate the difference in sales: 284 - 183 = 101 more sales from Website X.
• Multiply by the average profit per sale: 101 x £12 = £1,212.

Question 12

• To calculate the percentage of visitors from Website Y:
• Add up the number of visitors 315,380 + 26,850 + 82,520 + 12,630 = 437,380.
• Calculate the percentage: 82,520 ÷ 437,380 = 18.87%.