文档内容
Numerical Test 7
Solutions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which 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. If you don't know the
answer to a question, leave it and come back to it if you have time. Each question will have
five possible answers, one of which is correct. You may click Back and Next during the test to
review or skip questions.
You can submit your test at any time. If the time limit is up before you click submit the test will
automatically be submitted with the answers you have selected. It is recommended to keep
working until the time limit is up.
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 Which country has the largest number of males in employment?
(A) Belgium
(B) Denmark
(C) Ireland
(D) Hungary
(E) Greece
Step 1–Calculate the number of males that are employed in Belgium, Hungary and Greece.
Note thatDenmark and Ireland have approximately half the total population of the other three
countries and so can be ruled out immediately to save time.
Belgium =10.4 x 35.6% = 3.7 million
(Denmark = 5.4 x 58.2% =3.14million)
(Ireland = 4.1 x 38.8% = 1.6 million)
Hungary = 10.1 x 38.4% = 3.9 million
Greece = 10.8 x 34.4% = 3.7 million
Thus the correct answer is (D)Hungary
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prior written permission from AssessmentDay.Q2 What percentage do the five countries shown represent of the total EU
population?
(A) 7.5%
(B) 8.5%
(C) 9.5%
(D) 10.5%
(E) 11.5%
Step 1–Total the population of the five countries
10.4 + 5.4 + 4.1 + 10.1 + 10.8 = 40.8 million
Step 2–Calculate the % of the total EUpopulation
40.8 / 480 = 8.5%
Thus the correct answer is (B)8.5%
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prior written permission from AssessmentDay.Q3 Assuming that there are no other population factors than those shown in the
table, what will be the annual population change of the five countries
combined?
(A) 143,900
(B)167,550
(C)225,340
(D) 368,200
(E) 44.7 million
Step 1–Calculate each country’s change in population due to the population factors
Population change =increase from births–decrease from deaths+ net migration
Belgium = 11.1-9.8 + 3.4 =4.7
Denmark = 12.0–10.3 + 0.9 =2.6
Ireland = 15.2–6.9 + 11.8 =20.1
Hungary = 13.1–10.4 + 1.8 =4.5
Greece = 9.6–9.5 + 3.1 =3.2
Step 2–Calculate the change per 1,000 members of population
Belgium =4.7x 10,400 =48,880
Denmark =2.6x 5,400 =14,040
Ireland =20.1x 4,100 =82,410
Hungary =4.5x 10,100 =45,450
Greece =3.2x 10,800 =34,560
Step 3–Sum the figures for each country to calculate the population change
48,880 + 14,040 + 82,140 + 45,450 + 34,560 = 225,340
Thus the correct answer is (C)225,340
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prior written permission from AssessmentDay.Q4 If the population of Belgium increases at the same %age rate as shown for
2012, in what year will the population reach 10.6 million?
(A) 2015
(B) 2016
(C) 2017
(D) 2018
(E) 2019
Step 1–Calculate change in population due to the population factors
Population change =increase from births–decrease from deaths + net migration.
ForBelgiumthis is:11.1-9.8 + 3.4 =4.7(per thousand of thepopulation)
So4.7x 10,400 =48,880extra people in 2012.
The next step is to work this out as a percentage increase, not just take the number48,880
and add it to each year.
48,880 ÷10,400,000 x 100 = 0.47%increase.
Step 2–Calculate the population for subsequent yearsusing this percentage growth.
2013: 10,400,000 +48,880= 10,448,880
2014:10,448,880x 1.0047= 10,497,990
2015:10,497,990x 1.0047= 10,547,330
2016:10,547,330x 1.0047= 10,596,903
2017:10,596,903x 1.0047= 10,696,748
So on day one of 2017 the population is10,696,748, which means the 10.6m barrier must
have been achieved during 2016.
Thusthe correct answer is (B) 2016.
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prior written permission from AssessmentDay.Q5 Which country has the largest absolute difference in the number of people
dying compared to the number of people being born?
(A) Belgium
(B) Denmark
(C) Ireland
(D) Hungary
(E) Greece
Step 1-Calculate the difference in the birth rate and the mortality rate for four countries
(ignoring Greece which has a negligible difference between the two figures):
Belgium = 11.1–9.8 =1.3
Denmark = 12.0–10.3 = 1.7
Ireland = 15.2–6.9 = 8.3
Hungary = 13.1–10.4 = 2.7
Step 2-Calculate the absolute difference for each country
Belgium = 1.3 x 10,400 = 13,520
Denmark = 1.7 x 5,400 = 9,180
Ireland = 8.3 x 4,100 = 34,030
Hungary = 2.7 x10,100 = 27,270
Thus the correct answer is (C)Ireland
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prior written permission from AssessmentDay.Q6 In which month were PT Drinks sales one-third that of total sales?
(A) January
(B) February
(C) March
(D) April
(E) May
Step 1–Calculate for each month the fraction of PT Drinks sales compared to the total sales
January = 53 / (53 + 59 + 49) = 0.329
February = 74 / (74 + 76 + 56) = 0.359
March = 80 / (80 + 60 + 86) = 0.354
April = 98 / (98 + 108 + 68) = 0.358
May = 114 / (114 +120 + 108) = 0.333
Thus the correct answer is (E)May
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prior written permission from AssessmentDay.Q7 If Kurnels continued to increase its sales at the same percentage rate as
between April and May, what would Kurnels’ sales be in August (to the
nearest $1,000)?
(A) $272,000
(B) $372,000
(C) $432,000
(D) $2,720,000
(E) $4,320,000
Step 1–Calculate the % rate of increase between April–May
100% x (108–68) / 68 = 100% x 40 / 68 = 58.8%
Alternatively, 108 ÷ 68 = 1.588 which is an increase of 58.8%.
Step 2–Calculate the future monthly sales figures for Kurnels
June: 108,000 x 1.588 = 171,504
July: 171,504 x 1.588 = 272,348
August: 272,348 x 1.588 = 432,489
Step 2–to the nearest $1,000
$432,489 = $432,000
Thus the correct answer is (C)$432,000
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prior written permission from AssessmentDay.Q8 What was the difference between the total sales of Kurnels and those of
Diapon between February-May?
(A) Kurnels smaller by $46,000
(B) Kurnels smaller by $36,000
(C) Kurnels greater by $26,000
(D) Kurnels greater by $36,000
(E) Kurnelsgreater by $46,000
Step 1–Calculate the total sales for Kurnels between February-May
56 + 86 + 68 + 108 = 318
Step 2-Calculate the total sales for Diapon between February-May
76 + 60 + 108 + 120 = 364
Step 3–Calculate the difference between thetwo totals
318–364 = $46,000 less
Thus the correct answer is (A)Kurnels smaller by $46,000
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prior written permission from AssessmentDay.Q9 Between which months did Kurnels show the greatest change in its
proportion of total sales?
(A) January-February
(B) February-March
(C) March-April
(D) April-May
(E) Can’t tell from the data
Step 1–Calculate Kurnels sales as a proportion of total sales for each month
January = 49 / (49 + 59 + 53) = 0.304
February = 56 / (74 + 76 + 56) = 0.272
March = 86 / (80 + 60 + 86) = 0.381
April = 68 /(98 + 108 + 68) = 0.248
May = 108 / (108 + 120 + 114) = 0.316
Step 2–Calculate the differences between consecutive months
January–February = 0.032 decrease
February–March = 0.109 increase
March–April = 0.133 decrease
April–May = 0.068 increase
Thus the correct answer is (C)March-April
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prior written permission from AssessmentDay.Q10 If the three soft drinks manufacturers experience the same proportional
increases in sales between May-June as between April-May, what will be the
combined sales for the three soft drinks manufacturers in June (to the
nearest $1,000)?
(A) $133,000
(B) $171,000
(C) $410,000
(D) $437,000
(E) Can’t tell from the data
Step 1–Calculate the proportional increase for each soft drinks manufacturer between April-
May
Kurnels: 108 ÷ 68 = 1.588 = 58.8% increase
Diapon = 120 ÷ 108 = 1.111 = 11.1% increase
PT Drinks = 114 ÷ 98= 1.163 = 16.3% increase
Step 2 -Calculate the June sales for each soft drinks manufacturer
Kurnels = 158.8% x 108 = 171,529
Diapon = 111.1% x 120,000 = 133,333
PT Drinks = 116.3% x 114,000= 132,612
Step 3–Calculate the combined sales for the three soft drinks manufacturers in June
171,529 + 133,333 + 132,612 = $437,474
To the nearest $1,000 = $437,000
Thus the correct answer is (D)$437,000
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prior written permission from AssessmentDay.Q11 A trader bought 150,000 shares in Hydro Tools at this month’s low and
250,000 shares in Gel Products at this month’s high. What is the trader’s
profit or loss if he sells all the shares at today’s prices? (Assume that there
are no dealing charges).
(A) £655,000 loss
(B) £120,500 loss
(C) £83,000 loss
(D) £120,500 profit
(E) £655,000 profit
Step 1–Calculate the cost of purchasing the 150,000 shares in Hydro Tools at this month’s
low
150,000 x 1.42 = 213,000
Step 2-Calculate the cost of purchasing the 250,000 shares in Gel Products at this month’s
high
250,000 x 2.10 = 525,000
Step 3–Calculate the sales value of 150,000 shares in Hydro Tools at today’s price
150,000 x 1.50 = 225,000
Step 4–Calculate the sales value of 250,000 shares in Gel Products at today’s price
250,000x 1.72 = 430,000
Step 5–Calculate the profit/loss
225,000 + 430,000-213,000-525,000 =-£83,000
Thus the correct answer is (C)£83,000 loss
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prior written permission from AssessmentDay.Q12 Yesterday, which share was the furthest from its yearly low in absolute
terms?
(A) LPC Ltd
(B)Hydro Tools
(C) Gyromanic
(D) Flyer Travel
(E) Gel Products
Step 1–Calculate the difference between yesterday’s share price and the yearly low for each
share.
LPC Ltd: 2.60–2.30 = 0.30
Hydro Tools: 1.62–1.37 = 0.25
Gyromanic: 3.10–2.51 = 0.59
Flyer Travel: 2.27–2.05 = 0.22
Gel Products: 1.90–1.45 = 0.45
Thus the correct answer is (C)Gyromanic
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prior written permission from AssessmentDay.Q13 How many shares of LPC Ltd and Flyer Travel Ltd can a trader buy today
who spends £2.1 million and splits the value of the shares in the ratio of 2:5
respectively (ignoring any other taxes or charges incurred)?
(A) 350,000 shares (LPC Ltd), 500,000 shares (Flyer Travel Ltd)
(B) 300,000 shares (LPC Ltd), 504,000 shares (Flyer Travel Ltd)
(C) 250,000 shares (LPC Ltd), 600,000 shares (FlyerTravel Ltd)
(D) 200,000 shares (LPC Ltd), 500,000 shares (Flyer Travel Ltd)
(E) 150,000 shares (LPC Ltd), 600,000 shares (Flyer Travel Ltd)
Step 1–Split the £2.1 million in to the ratio of 2:5
LPC Ltd: £2.1 million x 2/7 = £0.6 million
Flyer Travel Ltd: £2.1 million x 5/7 = £1.5 million
Step 2–Calculate the number of LPC Ltd shares
£0.6 million / £2.40 = 250,000
Step 3–Calculate the number of Flyer Travel Ltd shares
£1.5 million / £2.50 = 600,000
Thus the correct answer is (C) 250,000 shares (LPCLtd), 600,000 shares (Flyer Travel Ltd)
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prior written permission from AssessmentDay.Q14 How much would the loss be from buying 125,000 Gyromanic shares at this
month’s high, then selling all the shares at this month’s low?
(A) £63,750
(B) £175,000
(C) £225,750
(D) £251,250
(E) None ofthese
Step 1–Calculate the cost of purchasing 125,000 Gyromanic shares at this month’s high
125,000 x 3.99 = £498,750
Step 2-Calculate the revenue from selling 125,000 Gyromanic shares at this month’s low
125,000 x 2.59 = £323,750
Step 3–Calculatethe potential loss
£498,750-£323,750 = £175,000
Thus the correct answer is (B)£175,000
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prior written permission from AssessmentDay.Q15 Yesterday, Trader A spent £650,000 purchasing LPC Ltd shares and Trader
B spent the same amount on Flyer Travel shares. If Trader A and Trader B
each sold their entire shareholding today, how much more profit would
Trader B make than Trader A?
(A)£11,692
(B) £115,859
(C) £39,796
(D) £139,796
(E) £65,859
Step 1–Calculate the profit (orloss)for Trader A
LPC Ltd: 2.4x £650,000 / 2.6 = £600,000from selling the shares.
Less the 650,000 spent on buying the shares =£50,000 loss
Step 2-Calculate the profit (orloss)for Trader B
Flyer Travel: 2.5 x £650,000 / 2.27 = £715,859from selling the shares.
Less the 650,000 spent on buying the shares =£65,859 profit
Step 3–Calculate the difference
£65,859 + £50,000 = £115,859
Thus the correct answer is (B)£115,859
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prior written permission from AssessmentDay.Q16 Which competitor, or competitors, are predicted in the Next Quarter to achieve
sales of less than its average over Quarters 1-4?
(A) Competitor B
(B) Competitors B and C
(C) Competitors A and C
(D) Competitors C and D
(E) Competitor D
Step 1–Calculate the average for each competitor
Competitor A: 40/4 = 10
Competitor B: 41/4 = 10.25
Competitor C: 53/4 = 13.25
Competitor D: 44/4 = 11
Competitor E: 40/4 = 10
Step 2–Which is greater than Next Quarter’s predictions?
Competitors B and C
Thus the correct answer is (B)Competitors B and C
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prior written permission from AssessmentDay.Q17 Assuming that the Next Quarter’s projection is accurate, but that in all
subsequent Quarters sales drop by 5% each quarter, by how much will
Competitor D’s sales in Year 2 exceed those of Year 1 (to the nearest
$10,000)?
(A) $520,000
(B) $620,000
(C) $720,000
(D) $820,000
(E) $920,000
Step 1–Sum Competitor D’s sales for Year 1
11 + 15 + 8 + 10 = $44 million
Step 2-Calculate Competitor D’s sales for Year 2
12 + (12 x 0.95) + (12 x 0.95 x 0.95) + (12 x 0.95 x 0.95 x 0.95)
= 12 + 11.4 + 10.83 + 10.29
= $44.52 million
Step 3–Calculate the difference
44.52–44 = 0.52 million
Thus the correct answer is (A)$520,000
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prior written permission from AssessmentDay.Q18 Competitor C operates 18 stores compared to Competitor E’s 15 stores. How
much more sales revenue would Competitor E have needed to make to
match Competitor C’s average sales per store in Quarter 1?
(A) $1 million
(B) $2 million
(C) $3 million
(D) $4 million
(E) $5 million
Step 1–Calculate Competitor C‘s average sales in Quarter 1
12 / 18 = 0.67
Step 2–Calculate whatCompetitor E’s sales would have needed to be in Quarter 1
0.67 x 15 = 10
Additional sales = $1 million
Thus the correct answer is (A)$1 million
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prior written permission from AssessmentDay.Q19 In the Next Quarter Competitors A and B merge their sales operations, and in
response Competitors C and D decide to operate together. Competitors A
and B exceed their projected quarterly sales by 2/9ths. Next Quarter’s sales
for Competitors C and D are in line with their averages over the previous 4
quarters. What is the value of the combined sales of Competitors A-E for the
Next Quarter, to the nearest $million ? (Assume that Competitor E’s
projected sales for the next quarter are correct).
(A) $11 million
(B) $16 million
(C) $26 million
(D) $61 million
(E) Can’t tell from data
Step 1–Calculate the value of Competitor A and B’s sales
21 + (21 x 2/9) = 25.67
Step 2-Calculate the average sale for Competitor C
53 / 4 = 13.25
Step 3-Calculate the average sale for Competitor D
44 / 4 = 11
Step 4-Calculate the total sales, including Competitor E
25.67 + 13.25 + 11 + 11 = $60.92 million
Step 5–To the nearest $million = $61 million
Thus the correct answer is (D) $61 million
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prior written permission from AssessmentDay.Q20 Which competitor has a ratio of 4:5 Quarter 4 : Quarter 3 sales?
(A) Competitor A
(B)Competitor B
(C) Competitor C
(D) Competitor D
(E) Competitor E
Step 1–Calculate the ratios for each competitor
Competitor A: 13 / 9 = 0.62
Competitor B: 12 / 10 = 1.25
Competitor C: 12 / 15 = 0.8 = 4 / 5
Competitor D: 10 / 8 = 1.20
Competitor E: 8 /13 = 1.44
Thus the correct answer is (C)Competitor C
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prior written permission from AssessmentDay.Q21 What was the difference in the value of FLAC product sales compared to
BEC product sales?
(A) £14,650
(B) £17,105
(C) £27,545
(D) £47,545
(E) £64,650
Step 1–Calculate FLAC product sales
(3,500 x £4.80) + (5,500 x £4.65) + (4,500 x £4.95)
= £16,800 + £25,575 + £22,275 = £64,650
Step 2–Calculate BEC product sales
(6,500 x £4.25) + (4,800 x £4.15)
= £27,625 + £19,920
= £47,545
Step 3–Calculate the difference
£64,650-£47,545 = £17,105
Thus the correct answer is (B)£17,105
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prior written permission from AssessmentDay.Q22 Which product code has the highest profit margin? (Assume Profit margin =
Sales price – Production costs).
(A) BEC 1A
(B) BEC 5C
(C) FLAC 3X
(D) FLAC 9Y
(E) FLAC 4T
Step 1–Sum the 3 Production costs for each product code
BEC 1A: 180 + 84 + 62 = 326
BEC 5C: 172 + 92 + 74 = 338
FLAC 3X: 160 + 74 + 94 = 328
FLAC 9Y: 150 + 101+ 108 = 359
FLAC 4T: 164 + 105 + 94 = 363
Step 2–Calculate the profit per unit for each productcode
Profit per unit = Sales value–production cost
BEC 1A: 4.25–3.26 = 0.99
BEC 5C: 4.15–3.38 = 0.77
FLAC 3X: 4.80–3.28 = 1.52
FLAC 9Y: 4.65–3.59 = 1.06
FLAC 4T: 4.95–3.63 = 1.32
Thus the correct answer is (C) FLAC 3X
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prior written permission from AssessmentDay.Q23 What would have been the additional sales revenue on BEC 5C units if all
those that had been produced in January were sold?
(A) £27,625
(B) £25,428
(C) £15,655
(D) £11,700
(E) £7,055
Step 1–Calculate thedifference between number of units produced and sold.
6,500–4,800 = 1,700 units
Step 2–Calculate the additionalsales revenuefor 1,700 units
1,700 x £4.15 = £7,055
Thus the correct answer is (E)£7,055
Tip: this is actually quite an easy question.Don’t fall into the trap of working out the profit
based on (sale price–production costs) because these extra 1,700 have already been
produced. It is a sunk cost and therefore any sales are profit.
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prior written permission from AssessmentDay.Q24 If the labour, design and Misc costs for producing the FLAC 9Y decrease by
5%, 7.5% and 12.5% respectively, what will be the profit when selling 25,000
FLAC 9Y units?
(A) £116,250.50
(B) £85,442.00
(C) £48,296.25
(D) £33,642.50
(E) £19,450.50
Step 1–Calculate the new costs
Labour: 95% x150 = £142.50 per 100 units
Design: 92.5% x 101 = £93.43 per 100 units
Misc costs: 87.5% x 108 = £94.50 per 100 units
Step 2–Sum the new costs
£142.50 + £93.43 + £94.50 = £330.43 per 100 units
Step 3–Calculate the sales value
25,000 x 4.65 =£116,250
Step 4–Calculate the profit
£116,250–(£330.43 x 25,000 / 100) = £116,250-£82,607.50 = £33,642.50
Thus the correctanswer is (D)£33,642.50
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prior written permission from AssessmentDay.Q25 An order valued at £14,350 is placed for FLAC 4T units at a sales price that
is £0.85 below the norm. What is the profit on this order?
(A) £1,945
(B) £1,845
(C) £1,645
(D) £1,745
(E) Can’t tell from data
Step 1–Calculate the new FLAC 4T sales price
£4.95-£0.85 = £4.10
Step 2–Calculate the number of units sold
£14,350 / £4.10 = 3,500
Step 3–Calculate the production costs
3,500 x (164 + 105 + 94)/100 = £12,705
Step 4–Calculate the profit
£14,350-£12,705 = £1,645
Thus the correct answer is (C)£1,645
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prior written permission from AssessmentDay.Q26 For the company which achieved the highest sales per number of their
stores in France, what was their sales value across the five countries
combined?
(A)4€ 0 million
(B)€ 85 million
(C)€ 110million
(D)€ 140million
(E)€ 155million
Step 1–Calculate the average sales per store in France
Welllings: 20 / 3 = 6.67 Wellings achieved the highest sales per store
Seacombe: 25 / 6 = 4.18
Tillings Ltd: 15 / 3 = 5
Kingleys: 25 / 5 = 5
Astors: 5 / 11 = 0.45
Step 2–Sum the salesforWelllingsacross all five countries
35 + 25 + 20 + 15 + 15=€ 110million
Thus thecorrect answer is (C)€ 110 million
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prior written permission from AssessmentDay.Q27 The economic recession is predicted to decrease the total retail sales in
Germany, Ireland and Italy by 7.2%, 9% and 4.6% respectively. What total
sales value is predicted in Germany, Ireland and Italy combined?
(A)3€ 02.5 million
(B)3€ 07 .6 million
(C)3€ 10.4 million
(D)3€ 22.4 million
(E)3€ 30.6 million
Step 1–Calculate the total sales for the 3 countries
Germany: 15 + 30 + 20 + 25 + 10 = 100
Ireland: 25 + 15 + 20 + 15 + 30 = 105
Italy: 15 + 30 + 35 + 20 +25 = 125
Step 2–Calculate the decreased sales for each of the 3 countries
Germany:€ 100 x 92.8% = 92.8
Ireland:€ 105 x 91% = 95.55
Italy:€ 125 x 95.4% = 119.25
Step 3–Sum the decreased sales for each of the 3 countries
92.8 + 95.55 + 119.25 = 307.60
Thus the correct answer is (B)3€ 0 7.6 million
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prior written permission from AssessmentDay.Q28 Which two countries have the same average sales across the five retail
companies?
(A) UK, Ireland
(B) Ireland, France
(C) Italy, Germany
(D) Germany, UK
(E) France, UK
Step 1–Calculate the total sales per country (this will give you the country with the “highest
average sales per country” since each figure will need to be divided by 5)
UK: 35 + 10 + 20 + 10 + 15 = 90
Ireland: 25 + 15 + 20 + 15 + 30 = 105
France: 20 + 25 + 15+ 25 + 5 = 90
Germany: 15 + 30 + 20 + 25 + 10 = 100
Italy: 15 + 30 + 35 + 20 + 25 = 125
Thus the correct answer is (E)France, UK
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prior written permission from AssessmentDay.Q29 What would be the value of the UK and the French sales in £ (assume an
exchange rate of € 1.25 to the £)?
(A)£144 million
(B) £112.5 million
(C) £80 million
(D) £72 million
(E) £60 million
Step 1–Calculate the UK sales
35 + 10 + 20 + 10 + 15 = 90
Step 2-Calculate the French sales
20 + 25 + 15 + 25 + 5 = 90
Step 3–Convert the total into £
180 / 1.25 =£144 million
Thus the correct answer is (A)£144 million
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prior written permission from AssessmentDay.Q30 Wellings Ltd sells off its Italian stores and then takes over Seacombe’s
stores except those in Ireland. The merged Wellings Seacombe Ltd sets a
target to increase total sales across the European stores by 20% a year for
the next three years. What will the total sales be in three years’ time (to the
nearest million)?
(A)€ 33 million
(B)1€ 90 million
(C)€ 290 million
(D)€ 328 million
(E)€ 382 million
Step 1–Calculate the total sales for the Wellings Seacombe Ltd operation
Wellings (UK, Ireland, France, Germany) = 35 + 25 + 20 + 15 = 95
Seacombe (UK, France, Germany, Italy) = 10 + 25 + 30 + 30 = 95
Total sales =€190 million
Step 2–Calculate the increase in sales over the next 3 years
1€ 90 million x 1.2 x 1.2 x 1.2 = € 328.32 million
Step 3–To the nearest million =€ 328 million
Thus the correct answer is (D)€ 328 million
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prior written permission from AssessmentDay.-- End of Test --
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