Numerical Reasoning Test. Dr Harry Flynn LDC

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1 Numerical Reasoning Test Dr Harry Flynn LDC

2 1.The average selling price of different grades of oil, per 50 litres, is as follows: Grade A: 100 Grade B: 150 Grade C: 200 What was the total value of Grade B and C oil sold in 1999? Oil (000 litres) A B C A 42 million B 43 million C 47 million D 4.3 million E 17 million

3 2.The average selling price of different grades of oil, per 50 litres, is as follows: Grade A: 100 Grade B: 150 Grade C: 200. If the production of Grade A oil decreased by 11% from 1999 to 2000 what would be the value of sales of Grade A in 2000? Oil (000 litres) A B C A 7.3 million B 7.9 million C 8.1 million D 8.9 million E 12 million

4 3. What was the ratio of Grade A to Grade B oil sales in 1997? Oil (000 litres) A B C A 3:5 B 5:3 C 17:8 D 8:17 E 12:5

5 4. The number of visits to a children s museum was monitored for five days. What was the ratio of children to adults in this period? Visits ooo s Men Women Children 5 0 Mon Tues Weds Thurs Fri A 7:3 B 5:3 C 4:7 D 12:17 E 9:13

6 5. Assuming the number of children is 50% boys and 50% girls, how many males visited the museum in this five day period? Visits ooo s Men Women Children 5 0 Mon Tues Weds Thurs Fri A 120 B 90 C 115 D 100 E Can t say

7 6. Company X has a sales target of 1600 advertisement sales per day. On how many days is the target achieved? 23 Company X Sales Figures 21 Advertisments Placed 00's Mon Tues Weds Thurs Fri A 20% B 40% C 50% D 60% E 70%

8 7. Company X has a sales target of 1600 advertisement sales per day. If the sales target was reduced by 30% how many days would now achieve the new target? 23 Company X Sales Figures 21 Advertisments Placed 00's Mon Tues Weds Thurs Fri A 20% B 40% C 60% D 70% E 80%

9 8. If all the staff from both Project 1 and Project 2 were added to the staff on Project 4, approximately how much earlier would the completion time be for Project 4? No. Of Staff Completion Time (days) Budget ( ) Project ,000 Project ,000 Project ,000 Project ,000 Project ,000 Project ,000 A 2 days B 6 days C 27 days D 22 days E 17 days

10 9. How many members of staff would need to work on Project 6 if the company wished to complete in 30 days? No. Of Staff Completion Time (days) Budget ( ) Project ,000 Project ,000 Project ,000 Project ,000 Project ,000 Project ,000 A 20 B 37 C 43 D 51 E 41

11 10. If you had exchanged 500 GBP in February for Swiss Francs and then converted back in April approximately how much would you have gained? GBP Exchange Rate Jan Feb Mar April Euro Canadian Dollar Swiss Franc A B C D E

12 11. In February 3000 Euros were worth approximately how many Canadian dollars? GBP Exchange Rate Jan Feb Mar April Euro Canadian Dollar Swiss Franc A 2,404 B 2,768 C 2,115 D 2,981 E 2,083

13 12. If fuel costs increase by 10% approximately how many kms fewer will Car 5 have to travel to ensure that the daily fuel allowance does not increase? Vehicle Fuel Cost/ litre ( ) Consumption litres/km Daily fuel allowance ( ) Car Car Car Car Car A 73 B 18 C 39 D 56 E 45

14 13. Which vehicle could travel furthest without exceeding the daily fuel allowance? Vehicle Fuel Cost/ litre ( ) Consumption litres/km Daily fuel allowance ( ) Car Car Car Car Car A Car 1 B Car 2 C Car 3 D Car 4 E Car 5

15 14. If the price of fuel is increased by 4% approximately how much would the daily fuel allowance need to be to allow Car 1 to travel 460 kms? Vehicle Fuel Cost/ litre ( ) Consumption litres/km Daily fuel allowance ( ) Car Car Car Car Car A B C D E 42.50

16 15. Which age group has the second highest spend on transport? Monthly Spending Figures: Transport ( ) Age Estimated populations: England 53.1 million France 65.7 million Germany 80.5 million England France Germany A 0-19 B C D E 80+

17 16. If the population aged 80 or over in England is estimated to be 245,000 what would be the total monthly spend on transport from this group? Monthly Spending Figures: Transport ( ) Age Estimated populations: England 53.1 million France 65.7 million Germany 80.5 million England France Germany A 245,000 B million C 2.45 million D 490,000 E 24.5 million

18 17. If 80% of the population of France is made up of those aged 20 and older what will be the total monthly spend on transport of the French 0-19 age group? Monthly Spending Figures: Transport ( ) Age Estimated populations: England 53.1 million France 65.7 million Germany 80.5 million England France Germany A 987,000 B million C million D million E 453.1million

19 18. If pump X runs at 50% of its maximum rate for 3 hours, how many gallons of water will be pumped? Gallons/min Electricity Consumption KWh/gallon Cost /KWh Pump W Pump X Pump Y Pump Z gallon = 4.55 litres A 1,230 B 1,395 C 1,953 D 1,155 E 1,350

20 19. If pump X and pump Z both pump at 90% of their maximum rate for 1 hour, approximately how many litres of water will be pumped? Gallons/min Electricity Consumption KWh/gallon Cost /KWh Pump W Pump X Pump Y Pump Z gallon = 4.55 litres A 6,437 B 7,763 C 5,885 D 6,872 E 7,350

21 20. Approximately how many hours will pump Y need to run at maximum capacity to pump 40,000 litres? Gallons/min Electricity Consumption KWh/gallon Cost /KWh Pump W Pump X Pump Y Pump Z gallon = 4.55 litres A 12.2 B 13.7 C 15.9 D 13.1 E 12.8

22 21. What is the approximate decrease in UK land used for growing vegetables from 2011 to 2012? Planted Area in the United Kingdom (Hectares) Vegetables 125, , , ,740 Fruit 28,583 28,801 29,115 29,115 Total 154, , , ,855 1 acre = hectares A 2.8% B 1.9% C 2.5% D 4.7% E 0.4%

23 22. It is expected that land use for vegetables will decrease by 2% in 2013 whilst land use for fruit will increase by 2%. What will be the approximate UK total land use, in acres, for growing both vegetables and fruit in 2013? Planted Area in the United Kingdom (Hectares) Vegetables 125, , , ,740 Fruit 28,583 28,801 29,115 29,115 Total 154, , , ,855 1 acre = hectares A 285,450 B 422,900 C 301,640 D 398,650 E 360,650

24 23. If the public sector spending on UK biodiversity had increased at the rate it did from to , what would its approximate value be in ? Public sector expenditure on UK biodiversity to ( M) Public sector spending on UK Biodiversity GDP deflator (2010/11 = 100) GDP ( current prices) 1,274,084 1,346,647 1,426,101 1,417,690 1,406,771 1,477,883 GDP in volume terms ( 2010/11 prices) 1,450,229 1,483,663 1,535,837 1,482,242 1,444,872 1,477,883 Spending on biodiversity (% of GDP) A 467m B 365m C 456m D 593m E 541m

25 24. What is the percentage increase in GDP in volume terms from to ? Public sector expenditure on UK biodiversity to ( M) Public sector spending on UK Biodiversity GDP deflator (2010/11 = 100) GDP ( current prices) 1,274,084 1,346,647 1,426,101 1,417,690 1,406,771 1,477,883 GDP in volume terms ( 2010/11 prices) 1,450,229 1,483,663 1,535,837 1,482,242 1,444,872 1,477,883 Spending on biodiversity (% of GDP) A 2.84% B 1.98% C 2.6% D 4.03% E 2.3%

26 25. A survey of 12,000 car buyers was completed to find the most popular colour of car. How many buyers chose either silver or blue? Other 24% White 13% Blue 8% Silver 21% Red 10% Black 24% A 3,480 B 4,360 C 6,775 D 2,960 E 3,100

27 26. A survey of 12,000 car buyers was completed to find the most popular colour of car. In the following year the survey was extended to 15,000 buyers. If the number of people who preferred a white car did not change what would this be as a percentage of the new survey total? Other 24% White 13% Blue 8% Silver 21% Red 10% Black 24% A 13% B 11.3% C 10.4% D 12.4% E 11.6%

28 27. What is the expenditure on magazines for all those aged 65 and under as an approximate ratio with the total magazine expenditure? Over 65 Age Groups Magazines Newspapers Online Subscriptions A 1:1.4 B 1:1.51 C 1:18 D 1:1.72 E 1:1.49

29 28. If the expenditure in the age range were to increase by 2, with the magazine/newspaper/online proportions remaining unchanged, what would be the approximate new figure for spending on newspapers? Over 65 Age Groups Magazines Newspapers Online Subscriptions A 4.98 B 5.41 C 4.79 D 5.22 E 5.68

30 29. What is the approximate profit per employee in 2009? Year Widget Sales Data Revenue M Costs M Employees Profit = Revenue - costs A 11,480 B 27,750 C 15,560 D 18,310 E 22,195

31 30. If the rate of increase in profit from 2012 to 2013 is maintained, what is the expected profit (in M) in 2015? Year Widget Sales Data Revenue M Costs M Employees Profit = Revenue - costs A B 18.6 C 38.4 D 42.3 E 24.0

32 31. If the figures for 2013 were revised to show an increase of 10% in wages, with wages equating to 45% of the company s costs, what would the approximate revised profit figure be (in M) for 2013? Year Widget Sales Data Revenue M Costs M Employees Profit = Revenue - costs A B C D E 16.22

33 32. What is the total number of visitors, over the two years, who came to the shopping centre by train or coach? ABC Shopping Centre: Visitor Figures by Mode of Travel % 4% 7% Walk 7% Walk 13% Bus 10% Bus 50% Train 51% Train 27% Coach Car 28% Coach Car Total number of visitors: 340,000 Total number of visitors: 450,000 A 298,000 B 401,000 C 382,000 D 307,000 E 350,000

34 33. If the number of visitors were to increase year on year at the same rate as between 2012 and 2013 what would be the approximate expected visitor numbers by 2016? ABC Shopping Centre: Visitor Figures % 4% 7% Walk 7% Walk 13% Bus 10% Bus 50% Train 51% Train 27% Coach Car 28% Coach Car Total number of visitors: 340,000 Total number of visitors: 450,000 A 1,043,000 B 872,000 C 1,544,000 D 976,000 E 2,004,000

35 34. If the number of male dog owners increases by 6% next year, and 58% of the men have dogs, approximately how many pet owners will be male? Pet owners in Main Town this year Total Dog Cat Rabbit Other Men 295,500 55% 20% 19% 6% Women 345,210 48% 22% 28% 2% A 287,650 B 296,440 C 297,030 D 310,445 E 255,614

36 35. What is the ratio of cat owners to dog owners? Pet owners in Main Town this year Total Dog Cat Rabbit Other Men 295,500 55% 20% 19% 6% Women 345,210 48% 22% 28% 2% A 100:243 B 10:15 C 1:3.5 D 2:7 E 5:6

37 36. How much money will borrowers have to repay if they borrow 5,000 over 5 years? Amount Borrowed Repayment period 12 months 60 months Monthly repayment Monthly repayment , , , A 11, B 11, C 15, D 12, E 12,195.25

38 37. What is the simple interest rate on an amount of 100, borrowed for one year? Amount Borrowed Repayment period 12 months 60 months Monthly repayment Monthly repayment , , , A 30% B 35% C 11.25% D 18% E 29%

39 38. What is the proportion of applications accepted for interview this month? Number of job applications accepted or rejected for interview Last month This month Accepted Rejected Accepted Rejected Applicant A Applicant B A 30% B 20% C 40% D 80% E 25%

40 39. If applicant B kept this month s ratio for accepted : rejected, how many applications would she need to send to be sure of receiving 14 offers of an interview? Number of job applications accepted or rejected for interview Last month This month Accepted Rejected Accepted Rejected Applicant A Applicant B A 90 B 48 C 46 D 70 E 84

41 40. If the London factory produced 22,000 chairs in 2012, approximately how many bookcases did they produce in the same year? London Factory 2012 Birmingham Factory 2013 A 3,990 B 4,860 C 5,560 D 5,040 E 7,002

42 41. If the London factory produced 22,000 chairs in 2012, which was 4000 less than the Birmingham factory in 2013, how many bookcases were made in Birmingham in 2013? London Factory 2012 Birmingham Factory 2013 A 3,000 B 4,500 C 2,000 D 5,000 E 1,500

43 42. If the bill for materials this year was 83,000, which was an increase of 18,000 from last year, approximately how much was spent on both wages and tax last year? Last Year This Year A 245,560 B 315,500 C 268,440 D 503,700 E 211,890

44 43. If the proportions remain unchanged from this year, approximately how much would be spent on wages next year if next year s profit was 23,500? Last Year This Year A 45,411 B 79,568 C 80,292 D 70,777 E 80,890

45 44. Approximately how many rejected bolts were there on Production Line 4? Company Z: Manufacturing Figures Production Line Bolts manufactured correctly (per hour) % Failing quality test Machine hours used Safety Issues Line 1 3, ,000 1 Line 2 5, ,455 5 Line 3 6, ,440 7 Line 4 2, , Line 5 5, ,555 6 A 22.4million B 1.1 million C 872,000 D 915,700 E 2.8 million

46 45. Which of the production lines has the highest number of safety issues per machine hour used? Company Z: Manufacturing Figures Production Line Bolts manufactured correctly (per hour) % Failing quality test Machine hours used Safety Issues Line 1 3, ,000 1 Line 2 5, ,455 5 Line 3 6, ,440 7 Line 4 2, , Line 5 5, ,555 6 A Line 1 B Line 2 C Line 3 D Line 4 E Line 5

47 46. Approximately how many graduates were known to be in work overseas? 411,005 UK and EU leavers whose destinations were known A 33,000 B 14,540 C 12,330 D 12,540 E 11,506

48 47. If the proportions remain the same but the total number of graduates, whose destination were known, increased to 525,000 the following year how many graduates would be expected to be in UK work? 411,005 UK and EU leavers whose destinations were known A 330,750 B 254,740 C 332,330 D 432,540 E 311,590

49 48. Which class has the highest proportion of Grade A marks? ABC High School Class Tests Results Class 1 Class 2 Class 3 Class 4 Class 5 Grade A Grade B Grade C Grade D Grade E Pass mark minimum: grade C A Class 1 B Class 2 C Class 3 D Class 4 E Class 5

50 49. Which class has the highest proportion of passes? ABC High School Class Tests Results Class 1 Class 2 Class 3 Class 4 Class 5 Grade A Grade B Grade C Grade D Grade E Pass mark minimum: grade C A Class 1 B Class 2 C Class 3 D Class 4 E Class 5

51 50. What is the percentage of UK female graduates in full time UK work who earn 25,000 or more? Percentage of UK domiciled full time degree leavers in full-time paid UK work 2011/ Female Male A 10% B 20% C 17% D 11% E 90%

52 51. Which region saw zero growth in its service industry in any one year from 2008 to 2011? A North East B North West C London D South East E South West

53 52. Which group has the lowest proportion of failing students? Southern England Midlands and North England School This Year Last Year This Year Last Year Pass Fail Pass Fail Pass Fail Pass Fail Single Sex 3, , , , Mixed 12,444 1,200 14,875 1,506 18,345 1,743 20,400 1,983 A Southern England, this year, mixed B Southern England, last year, mixed C Midlands and North England, this year, single sex D Midlands and North England, last year, single sex E Midlands and North England, this year, mixed

54 53. Which group had the second highest number of students? Southern England Midlands and North England School This Year Last Year This Year Last Year Pass Fail Pass Fail Pass Fail Pass Fail Single Sex 3, , , , Mixed 12,444 1,200 14,875 1,506 18,345 1,743 20,400 1,983 A Southern England, this year, mixed B Southern England, last year, mixed C Midlands and North England, this year, single sex D Midlands and North England, last year, mixed E Midlands and North England, this year, mixed

55 54. If the cost for insurance in year 1 is half that of insurance in year 2, when fuel accounts for 17,500, what was the approximate cost for maintenance in year 1? A 5,413 B 4,760 C 8,292 D 5,530 E 8,890

56 55. Which is the most profitable site? Financial Figures ( millions) ABC Holdings: Financial Report (by site) Birmingham Coventry Redditch Rugby Telford Sales Revenue Operating Costs Staffing Costs Other Costs Number of Staff (in hundreds) Profit = Revenue - Costs A Coventry B Birmingham C Redditch D Rugby E Telford

57 56. Which site has the smallest number of staff for each pound generated in sales revenue? Financial Figures ( millions) ABC Holdings: Financial Report (by site) Birmingham Coventry Redditch Rugby Telford Sales Revenue Operating Costs Staffing Costs Other Costs Number of Staff (in hundreds) Profit = Revenue - Costs A Coventry B Birmingham C Redditch D Rugby E Telford

58 57. If operating costs were to increase by 30% with all other figures remaining constant which site would have the best revenue to costs ratio? Financial Figures ( millions) ABC Holdings: Financial Report (by site) Birmingham Coventry Redditch Rugby Telford Sales Revenue Operating Costs Staffing Costs Other Costs Number of Staff (in hundreds) Profit = Revenue - Costs A Coventry B Birmingham C Redditch D Rugby E Telford

59 58. In 2010, if Van B is driven 3,000 miles, approximately how much fuel would be used? Fuel Cost ( per litre) Litres purchased Average fuel consumption (miles per litre) 1 gallon = 4.55 litres 1 mile = 1.61 km. Van A 2,300 2,310 2,421 2,333 2,541 Van B 2,540 2,110 2,500 2,891 2,975 Van A Van B A litres B litres C litres D litres E litres

60 59. Approximately how many kilometres will van A travel in 2012 if it uses all of its allocated fuel? Fuel Cost ( per litre) Litres purchased Average fuel consumption (miles per litre) 1 gallon = 4.55 litres 1 mile = 1.61 km. Van A 2,300 2,310 2,421 2,333 2,541 Van B 2,540 2,110 2,500 2,891 2,975 Van A Van B A 19,800 B 26,875 C 18,983 D 26,330 E 33,550

61 60. How much would it cost, approximately, to buy 80 gallons of fuel during 2012 and 2013 in a 40:60 ratio? Fuel Cost ( per litre) Litres purchased Average fuel consumption (miles per litre) 1 gallon = 4.55 litres 1 mile = 1.61 km. Van A 2,300 2,310 2,421 2,333 2,541 Van B 2,540 2,110 2,500 2,891 2,975 Van A Van B A 493 B 476 C 390 D 541 E 446

62 61. Every fault on a conveyor belt costs 300 to repair and if there are more than 4 faults per day on any one belt the company is fined an additional What is the total cost of both fines and repairing the 4 conveyor belts for the week detailed below? 12 ABC Production: Conveyor Belt Processing Faults Belt 1 Belt 2 Belt 3 Belt 4 0 Mon Tues Weds Thurs Fri A 54,870 B 47,460 C 53,300 D 54,400 E 44,630

63 62. Which of the four conveyor belts will cost ABC Production the most money this week? 12 ABC Production: Conveyor Belt Processing Faults Belt 1 Belt 2 Belt 3 Belt 4 0 Mon Tues Weds Thurs Fri A Belt 1 B Belt 2 C Belt 3 D Belt 4 E Cannot say

64 63. What is the ratio of last year s London retail property value to Newcastle s industrial property value this year? A 2:1 B 1:2 C 5:3 D 5:7 E 3:2

65 64. Approximately how much has the total value of property across the three sectors increased in Birmingham from last year to this year? A 14.9% B 15.3% C 14.8% D 15.5% E 15%

66 65. Not including VAT, what is this year s approximate total sales value? On the road costs (inc. VAT at 20%) Wildtrak: 30,353 XLT: 24,213 Limited: 26,163 Ranger XL: 21,463 Total number sold in this year: 17,205 A million B million C million D million E million

67 66. If next year there is an overall sales increase in vehicle numbers by 11% and the proportions of each model remain unchanged what would be the approximate total sales value of the Wildtrak model next year (not inc. VAT)? On the road costs (inc. VAT at 20%) Wildtrak: 30,353 XLT: 24,213 Limited: 26,163 Ranger XL: 21,463 Total number sold in this year: 17,205 A million B 76.71million C million D million E million

68 Don t forget you can pop into the maths drop-in (first floor library building) with any maths queries.

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