Numerical Reasoning Practice Test 3. Solution Booklet. 1

Transcription

1 Numerical Reasoning Practice Test 3 Solution Booklet 1

2 Q1 What is the average hours worked per year per person for Oslo and Athens combined? 3,331 1,703 1,782 1,679 You need to first find the total number of hours worked by the workforce in Oslo (1,627x500,000) and the same for Athens (1,704x32,000,000). Then divide this by the combined population (500,000+32,000,000). Q2 A working day in Dublin consists of eight hours. If the average number of days holiday taken were to be reduced by two, what would be the new average hours worked in Dublin per person per year? 1,743 1,726 1,738 1,711 With two days less holiday, each person would work 16 hours more per year, so hours worked per person per year would go up by 16. Q3 If the average hours worked per year per person in Dublin were the same as that of London, how many more hours would be worked in Dublin in a year? 29 million 26 million 31 million 18 million Calculate (size of workforce) x (difference in hours per year per person). So (500,000) x ( ). 2

3 Q4 If in 2002 there were 50 DirectHealth practices, how many were not in deficit? Cannot Say The figure says that 12% of practices were in deficit. Therefore 88% of 50 were not in deficit. Q5 In 1997, 21 practices were all in profit by an average of 2m each. What was the average deficit run by each of the remaining 39 practices? 3.6m 1.2m 24m 180m 21 practices each in profit by 2m means the remaining 39 practices need between them to be in a deficit of 142m to cause the net balance to be as shown. Q6 How much more money would DirectHealth have had to have made in 1999 to equal the net balance of 2001? 25m 150m 1m 52m Interpreting the graph, it looks as though the net balance in 2001 was 50m. The difference between 50m and - 100m is 150m. 3

4 Q7 To manufacture a Tailored Shirt takes three and a half times as long as it does to manufacture an Untailored Shirt. How many more Untailored (L) than Tailored (L) shirts can be made in 12 hours? Three and of half of 380s is 1330s. In 12 hours 32.5 tailored shirts can be made compared with untailored. Q8 Each T-Shirt generates 1.25 profit and each Jumper What is the difference in profit generated per hour between T-Shirts and Jumpers? 0.45 /h 3.00 /h 0.12 /h 0.90 /h Notice size does not affect t-shirts or jumper times. In one hour, 15 t-shirts and 12 jumpers can be made. 15x 1.25 compares with 12x Q9 How many more complete Jackets (S) than Jackets (L) be made in an eight hour shift? In eight hours there are 28,800 seconds. 40(S) jackets can be made and (L) jackets can be made. The question asks for complete garments, so the answer must be

5 Q10 How many mobile phone users were using Samsung handsets in 2004? 5,850 8,775 2, % of 45,000 is 5,850. Q11 If Nokia s market share was 32% in 2002, how does the number of Nokia users in 2002 compare with that of 2004? 700 fewer 700 more 300 fewer 300 more In 2002 the number of Nokia handsets was 32% of 40,000. In 2004: 30% of 45,000. Q12 In 2004, how many more mobile phone users would LG require to equal that of Motorola? 3,600 1,350 1, In 2004 LG had 7% of 45,000 whilst Motorola had 15%. 5

6 Q13 Approximately, what is the maximum amount of CO2 that could be produced from one passenger travelling 200km by Intercity Train? 15kg 1.5kg 20kg 2kg Maximum for Intercity train is 75g/passenger km. In 200km this is 15,000g. Q14 What is the difference between minimum and maximum CO2 emissions for one passenger travelling 50km by Coach, 100km by High-speed Train, then 20km by Intercity Train? 12,250 17,250 8,850 20,465 The minimum emissions for coach is 25 g/passenger km, 50 for high speed train and 25 for intercity train. Work out the minimum and maximum for each leg. Q15 2,000 passengers pass through a short-haul airport in one day. If each passenger travels an average of 400km, what are the minimum CO2 emissions from the airport? 1.2 million kg/day 120,000 kg/day 120 kg/day 12 kg/day 2,000 passengers x 400km x 150g/passenger km = 120,000kg. 6

7 Q16 If 11% of Transport emissions are due to aircraft, what is the annual emission caused by aircraft? 5.3 Mtonnes 1.7 Mtonnes 0.2 Mtonnes 16 Mtonnes 11% of 27% of 180 million tonnes is 5.3 million tonnes. Q17 By what percentage do greenhouse-gas emissions from Transport exceed those from Industry? 35% 7% 2% 15% From transport: 27% of 180 is From industry: 20% of 180 is is 135% of 36. Q18 By how many tonnes do the emissions from Residential sources exceed those from Commercial sources? 5.4 Mtonnes 5.4 Tonnes 4.3 Mtonnes 120 Tonnes (8% - 5%) x 180 million. 7

8 Q19 Which newspaper sold twice as many copies at news stands than it sold by home delivery in 2004? The Reporter Daily Echo The Viewer The Record The Reporter. Find which newspaper had a ratio of 2:1 percentage newstand to home delivery%. (58% is twice as much as 29%) Q20 What was the combined readership of The Viewer, The Reporter and The Record in 2005 (millions)? Just sum the three readership figures. Q21 Which newspaper showed the largest change in home delivery sales between 2004 and 2005? The Record The Reporter Daily Echo Cannot Say The breakdown of home delivery versus newstand is only given for 2004 data. 8

9 Q22 Which country runs the largest difference between Exports and Imports? Ireland Sweden Switzerland Germany To save time, only work out the differences for the four countries listed. Q23 The population of the UK is 60 million. How much money is spent in the UK on Imports per head? 57 57, million 3,420 million divided by 60 million is 57. Q24 By what percentage does the USA have to increase Exports to equal its Imports? 18.5% 15.6% 12.0% 18.8% 5,690 divided by 4,800 is

10 Q25 Using simple interest, which account provider would charge the most for an unauthorized overdraft of 100 over the period of one year? Barc Halfx TSB NWest The figures in brackets give the annual percentage rate. Multiply this by 100 and add the unauthorised overdraft fee (y-axis). Q26 In 2006, A&L charged 8,000 of its customers for an unauthorised overdraft, and Nwide charged 8,500 of its customers for an unauthorised overdraft. What is the difference between the two banks in Unauthorised Fees, ignoring any interest charges? 30,000 2,500 40,000 12, x 8000 for A&L and 20 x 8500 for Nwide. Q27 Next year, Halfx is decreasing its Unauthorised Fee by 6%. How much will this new fee be? x 0.94 is

11 Q28 In 2003, how many more Televisions than PCs were sold? 5, , ,000 TVs versus 8,000 PCs. Q29 If Portable Audio sales in 2006 are 15% lower than in 2005, how many Portable Audio units are sold in 2006? 5, ,800 6,900 6,000 x 85% is 5,100. Q30 Which products experienced a drop in sales from one year to the next? Televisions & Portable Audio PCs and Portable Audio Software and PCs Software and Portable Audio Simply observe where the sales trend decreases between two years. 11