文档内容
Numerical Critical Reasoning
Test 9
Solutions Booklet
Instructions
This numerical reasoning test comprises 21 questions, and you will have to correctly
answer as many as you can. Calculators are permitted for this test, and it is
recommended you have some rough paper to work on.
You will have to work quickly and accurately to perform well in this test. The test does
not have an overall time limit however each question does has a time limit. The first
question relating to each table or graph has 90 seconds, and subsequent questions
relating to the same table or graph have 75 seconds.
Try to find a time and place where you will not be interrupted during the test. The test
will begin on the next page.
AssessmentDay
Practice Aptitude TestsQ1 What is the value of Gilts owned by Corporation D in 2010? (million)
Answer: 7800 million
Step 1: Work out the total value of Gilts in 2010: 160,000,000 x 300 = 48,000,000,000
Step 2: Work out how much of this is owned by Corporation D
Solution: 48,000,000,000 x 0.1625 = 7,800,000,000
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prior written permission from AssessmentDay.Q2 What is the value of Return on Gilts bought by Corporation D in 2000?
(million)
Answer: 83.13 million
Step 1: Work out how many Gilts were owned by Corporation D in 2000: 25,000,000 x 0.19 =
4,750,000
Step 2: Work out the value of those Gilts: 4,750,000 x 500 = 2,375,000,000
Solution: Work out the return on those Gilts: 2,375,000,000 x 0.035 = 83,125,000
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prior written permission from AssessmentDay.Q3 In which year did Corporation C make the greatest Return on Gilt, taking
into account Price and Total Gilts owned?
Answer: 2010
Step 1: Find out how many Gilts Corporation C owned in each year
2000: 25,000,000 x 0.11 = 2,750,000
2005: 45,000,000 x 0.14 = 6,300,000
2010: 160,000,000 x 0.22 = 35,200,000
2015: 58,000,000 x 0.21 = 12,180,000
Step 2: Find out the value of those Gilts in each year
2000: 2,750,000 x 500 = 1,375,000,000
2005: 6,300,000 x 700 = 4,410,000,000
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prior written permission from AssessmentDay.2010: 35,200,000 x 300 = 10,560,000,000
2015: 12,180,000 x 200 = 2,436,000,000
Solution: find out the return on those Gilts
2010: 10,560,000,000 x 0.025 = 264,000,000
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prior written permission from AssessmentDay.Q4 How many square kilometres of Arable Land are there in the USA?
(million)
Answer: 1.63 million
Solution: Use the percentage from the table to find out the amount of Arable Land:
9,830,000 x 0.166 = 1,631,780
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prior written permission from AssessmentDay.Q5 How much money does China make from Sugar? (million)
Answer: £2882 million
Step 1: Work out the price per tonne: 0.23 x 1000 = 230
Solution: Multiply this figure by the amount of Sugar produced by China
230 x 12,530,000 = 2,881,900,000
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prior written permission from AssessmentDay.Q6 If Australia stopped producing Wheat and started producing 15.05 million
tonnes of Orange Juice instead, how much extra money would be made?
(million)
Answer: £20,647
Step 1: Work out the amount of money made from Wheat: 23.08 x 0.39 x 1000 = 9001.2
Step 2: Find out how much money would be made from Orange Juice: 15.05 x 1.97 x
1000 = 29648.5
Solution: Subtract one from the other: 29648.5 – 9001.2 = 20647.3
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prior written permission from AssessmentDay.Q7 What was the Urban Population in Canada in 2014? (million)
Answer: 29.02 million
Step 1: Find out the population of Canada in 2014: (35.81/100.87) x 100 = 35,501,140
Step 2: Use the 2014 urban population % (82 – 0.27) to find out 2014 urban population
Solution: 35,501,140 x 0.8173 = 29,015,081
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prior written permission from AssessmentDay.Q8 What is the GDP per Capita in Urban areas of Ghana in 2015?
Answer: $1705.29
Step 1: Use the GDP ratio to find out how much GDP is distributed to Urban areas:
(37.86/3) x 2 = 25.24 billion
Step 2: Work out the urban population of Ghana in 2015
27.41 x 0.54 = 14.801 million
Solution: Use this new data to work out GDP per capita in urban areas:
25,240,000,000/14,801,000 = 1705.29
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prior written permission from AssessmentDay.Q9 How much greater or lesser is GDP per head in Canada than in Austria in
2014?
Answer: Lesser by $204.35
Step 1: Work out GDP in each country in 2014:
Canada: (1550.54/101.1) x100 = 1533.670 billion
Austria: (374.06/100.9) x100 = 370.723 billion
Step 2: Work out the population of each country in 2014
Canada: (35.81/100.87) x100 = 35.501 million
Austria: (8.61/100.81) x100 = 8.541 million
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prior written permission from AssessmentDay.Solution: Use the new figures to work out GDP per Capita in each country and subtract:
Canada: (1533.670/35.501) x1000 = 43200.75
Austria: (370.723/8.541) x1000 = 43405.10
43405.10 – 43200.75 = 204.35
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prior written permission from AssessmentDay.Q10 How much did 18 to 35 year olds spend on books in Japan? (million)
Answer: $86.92 million
Step 1: Work out how many books were bought by 18 to 35 year-olds:
120.72 x 0.18 = 21.730
Solution: Work out the value of that number of books bought:
21.73 x 4 = 86.92 million
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prior written permission from AssessmentDay.Q11 What is the value of newspapers sold in Germany per Capita?
Answer: $0.48
Step 1: Multiply the number of Newspapers bought by the Cost: 15.76 x 2.50 = 39.40
Step 2: Divide this figure by Germany’s Population
Solution: 39.40/82.70 = 0.476
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prior written permission from AssessmentDay.Q12 How much greater or lesser is the value of cinema attendances sold in
Japan than the value of music downloads in the USA? (million)
Answer: Lesser by $2791.8 million
Step 1: Work out the value of cinema attendances in Japan: 161.10 x 12 = 1933.20
Step 2: Work out the value of music downloads in the USA: 4500 x 1.05 = 4725
Solution: Subtract one from the other: 1933.20 – 4725 = - 2791.8
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prior written permission from AssessmentDay.Q13 What is the greatest amount of profit to be made from any of the cakes?
Answer: 2.69
Step 1: Work out how much each cake costs according to the weight of ingredients in
each:
Cake A - (3x0.4) + (5x0.01) + (20x0.03) + (15x0.1) = 3.35
Cake B - (3x0.8) + (5x0.015) + (20x0.05) + (15x0.25) = 7.23
Cake C – (3x0.6) + (5x0.012) + (20x0.035) + (15x0.15) = 4.81
Cake D – (3x0.75) + (5x0.013) + (20x0.04) + (15x0.2) = 6.12
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prior written permission from AssessmentDay.Solution: Step 2 – subtract the cost from the price:
Cake A – 5.75-3.35 = 2.40
Cake B – 9.90-7.23 = 2.67
Cake C – 7.50-4.81 = 2.69
Cake D – 8.25-6.12 = 2.13
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prior written permission from AssessmentDay.Q14 How many grams of Eggs would have to be added to Cake A so that it
would not make a profit?
Answer: 60g
Step 1: Work out how much Cake A costs to make:
(3x0.4) + (5x0.01) + (20x0.03) + (15x0.1) = 3.35
Step 2: Use this to work out the profit margin: 5.75 – 3.35 = 2.40
Solution: Use this to find out how many grams would make the cake unprofitable:
2.40/40 = 0.06 (60gs)
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prior written permission from AssessmentDay.Q15 If 350 grams of Jam were added to Cake C, what percentage of the overall
cost would the cost of the Jam be?
Answer: 36.79
Step 1: Work out how much 350g of Jam would cost: 8 x 0.35 = 2.80
Step 2: Work out how much Cake C costs before adding Jam: (3x0.6) + (5x0.012) +
(20x0.035) + (15x0.15) = 4.81
Step 3: Work out the percentage cost of the Jam
Solution: 2.80/(4.81+2.80) x 100 = 36.79
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prior written permission from AssessmentDay.Q16 How much did Company C make in sales in 2011? (million)
Answer: £173.36 million
Step 1: Work out total sales for 2011: 704 + 183 + 220 + 298 + 129 + 42 = 1576
Step 2: Work out Company C’s share
Solution: 1576 x 0.11 = 173.36
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prior written permission from AssessmentDay.Q17 By what percentage did Company A’s Sales increase by between 2009
and 2011?
Answer: 11.22%
Step 1: Work out total market sales in 2009 and find out Company A’s sales:
(681 + 181 + 215 + 305 + 130 + 40) x 0.21 = 325.92
Step 2: Do the same for 2011: (704 + 183 + 220 + 298 + 129 + 42) x 0.23 = 362.48
Solution: Work out the percentage increase between the two figures:
(362.48 – 325.92)/325.92) x 100 = 11.22
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prior written permission from AssessmentDay.Q18 What is the sales value in 2010 for companies not included in the Table
showing Market Share of Confectionery? (millions)
Answer: 93.12 million
Step 1: Work out the percentage of the market share owned by companies not in the
table:
100 – (22 + 13 + 10 + 30 + 15 + 4) = 6
Solution: Work out the total sales value for 2010 and find 6%:
(690 + 182 + 219 + 291 + 128 + 42) x 0.06 = 93.12
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prior written permission from AssessmentDay.Q19 How many years would it take for Sao Paulo to overtake Tokyo in terms of
total Population, assuming all statistics stayed the same?
Answer: 7 years
Step 1: Add 7% to the Population of Sao Paulo, and 2% to Tokyo:
21,000,000 x 1.07 = 22,470,000
29,000,000 x 1.02 = 29,580,000
Solution: Continue this process until Sao Paulo’s Population exceeds Tokyo’s.
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prior written permission from AssessmentDay.Q20 How many years would it take for the Male to Female ratio of the
Population of Lagos to become 100:100, assuming all statistics remain the
same?
Answer: 4.43 years
Step 1: Work out how many Males and Females there are in Lagos’ Population
M – (13,000,000/203) x 103 = 6,596,059
F = (13,000,000/203) x 100 = 6,403,941
Step 2: Work out the Birth Rate for Males and Females
M – (13,000x96)/195) x 95 = 608,000
F – (13,000x96)/195) x 100 = 640,000
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prior written permission from AssessmentDay.Step 3: Work out the Mortality Rate for Males and Females:
M – (13,000x36)/205) x 105 = 239,707
F – (13,000x36)/205) x 100 = 228,293
Step 4: Use this data to work out how many extra females there are each year:
(640,000 – 228,293) – (608,000 – 239.707) = 43,414
Solution: Divide that number into the difference in the initial Populations to work out years:
(6,596,059 – 6,403,941)/43,414 = 4.425
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prior written permission from AssessmentDay.Q21 Which City has the largest Male Population under the age of 35?
Answer: São Paulo
Solution: Work out the Population Under 35 using the percentage given for each City:
Tokyo – 29,000,000 x 0.36 = 10,440,000
São Paulo – 21,000,000 x 0.58 = 12,180,000
New York – 15,000,000 x .52 = 7,800,000
Lagos – 13,000,000 x 0.62 = 8,060,000
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