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Numerical Test 12
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 What are the combined sales of quarters 1 and 4?
(A) £850,000
(B) £852,250
(C) £854,250
(D) £856,000
(E) £858,000
The information that I need is shown in the pie-chart.
Step 1 – Calculate the total % for quarters 1 and 4
21% + 30% = 51%
Step 2 – £1.675 million x 51% = £854,250
Thus the correct answer is (C) £854,250
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prior written permission from AssessmentDay.Q2 If the profit margin for online sales is 1/8th of the sales value, what was the
total profit for online sales in 2009?
(A) £460,850
(B) £11,175
(C) £100,875
(D) £80,750
(E) £81,500
The information you need is shown in the graph Online vs High Street sales
Step 1 - Calculate total online sales = 27.4 + 26.8 + 16.3 + 10.2 = 80.7 (£10,000s)
Profit to sales ratio = 1:8, so profit = 80.7/8 = 10.0875 (£10,000s)
Thus the correct answer is (C) £100,875
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prior written permission from AssessmentDay.Q3 What is the difference in sales between the best and worst performing
quarters?
(A) £335,000
(B) £83,750
(C) £418,750
(D) £150,750
(E) None of these
The most profitable and least profitable quarters are going to be those with the highest and
lowest % sales respectively.
Step 1 – Calculate the difference in these %’s
30% - 21% = 9%
Step 2 – Calculate the % of total sales
9% x £1.675 million = £150,750
Thus the correct answer is (D) £150,750
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prior written permission from AssessmentDay.Q4 What was the difference between Online and High Street sales (in £10,000s)?
(A) 6.1
(B) 6.8
(C) 2.9
(D) 6.9
(E) 2.8
Step 1 – Calculate the total sales for each
High Street sales = 29 + 28.9 + 16.1 + 12.8 = 86.8
Online sales = 27.4 + 26.8 + 16.3 + 10.2 = 80.7
Step 2 – Calculate the difference
Difference = 86.8 – 80.7 = 6.1. Remember these numbers are in £10,000 as stated in the
graph.
Thus the correct answer is (A) 6.1
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prior written permission from AssessmentDay.Q5 In 2010 there is a High Street CD and DVDs sale that results in an increase in
the annual 2009 sales of each category by 11% and 14.5% respectively. What
are the combined High Street DVD and CD sales for 2010?
(A) £480,500
(B) £514,118
(C) £652,840
(D) £0.56 million
(E) £65.4 million
Step 1 – Calculate the % increases in each category
High Street CD (2010) = 2009 sales + 11% = 28.9 x 1.11 = 32.079
High Street DVD (2010) = 2009 sales + 14.5% = 29 x 1.145 = 33.205
Step 2 – Calculate the total
32.079 + 33.205 = £65.284 (10,000)
Step 3 - £652,840
Thus the correct answer is (C) £652,840
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prior written permission from AssessmentDay.Q6 In which quarter did Sclics plc, Farlaz and Raik Ltd each experience an
increase in sales for the European Region?
(A) Quarter 1
(B) Quarter 2
(C) Quarter 3
(D) Quarter 4
(E) None of these
Step 1 - From looking at the graph, there is no quarter in which Sclics plc, Farlaz and Raik Ltd
each experience an increase. In quarter 3 Sclics plc and Raik Ltd experience increases, but
Farlaz does not.
Thus the correct answer is (E) ‘None of these’
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prior written permission from AssessmentDay.Q7 If the annual European sales for Raik Ltd represent 45% of worldwide sales,
what is the level of sales worldwide?
(A) £62.5 million
(B) £52.4 million
(C) £42.6 million
(D) £28.8 million
(E) £23.6 million
Step 1 – Calculate the annual sales for Raik Ltd
5.3 + 5.8 + 6.2 + 6.3 = 23.6
Step 2 – Calculate the worldwide sales
100 x 23.6 / 45 = £52.4 million
Thus the correct answer is (B) £52.4 million
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prior written permission from AssessmentDay.Q8 How much did Sclics plc’s European sales in quarters 1 and 2 differ from
Farlaz’s European sales over the same period?
(A) £3.6 million more
(B) £3.6 million less
(C) £2.2 million less
(D) 2.2 million more
(E) None of these
Step 1 - Calculate the Q1 and Q2 differences
Q1; 5 – 7.2 = 2.2 less
Q2; 4.4 – 5.8 = 1.4 less
Step 2 – Calculate the total difference 2.2+ 1.4 = £3.6 million
Thus the correct answer is (B) £3.6 million less
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prior written permission from AssessmentDay.Q9 If the annual sales target for Raik Ltd was £29.5 million, by what fraction of
this target did the company underperform?
(A) 2/3
(B) 1/5
(C) 1/3
(D) 1/2
(E) 1/4
Step 1 – Refer to your own rough notes for the annual sales for Raik Ltd (from question 7)
= 23.6 (£millions)
Step 2 – Calculate the difference compared to the annual sales target
29.5 – 23.6 = 5.9
Step 3 – Calculate the fraction
5.9 / 29.5 = 1/5
Thus the correct answer is (B) 1/5
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prior written permission from AssessmentDay.Q10 Next quarter’s total sales projection represents what increase on Quarter 4’s
total sales for the three companies shown (to the nearest whole %)?
(A) 6.1%
(B) 7.2%
(C) 6.2%
(D) 10%
(E) 6%
Step 1 – Calculate Quarter 4’s total
3.5 + 6.4 + 6.3 = 16.2
Step 2 – Calculate the Projected Quarter’s total
3.2 + 7.4 + 6.6 = 17.2
Step 3 – Calculate the % increase
17.2 / 16.2 = 106.17%. The question asks for this to be rounded to the nearest percent.
Thus the correct answer is (E) 6%
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prior written permission from AssessmentDay.Q11 What was the average annual income across the four years shown (to the
nearest million)?
(A) £408 million
(B) £407 million
(C) £402 million
(D) £403 million
(E) £404 million
Step 1 – Calculate the annual income for each year
Income 2009 2008 2007 2006
Net interest 325.2 309.5 319.7 313.8
Other income 64.2 51.8 52 51.7
Fair value gains 18 39.9 29.7 31.1
TOTALS 407.4 401.2 401.4 396.6
Step 2 - Calculate the average by dividing the overall total for all 4 years by 4
(407.4 + 401.2 + 401.4 + 396.6)/4 = 401.65
Step 3 - To the nearest million = £402 million
Thus the correct answer is (C) £402 million
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prior written permission from AssessmentDay.Q12 Gills & Tines Ltd’s target has been to increase Profit Before Tax by more than
2% each year. In which year, or years, has this been achieved?
(A) 2008
(B) 2007, 2008
(C) 2007
(D) 2007, 2008, 2009
(E) None of the years shown
Step 1 – Calculate the % change in Profit Before Tax as shown in bold below;
2009 2008 2007
114.6 112.4 109.4
100% x (114.6 – 100% x (112.4 – 100% x (109.4 –
112.4)/112.4 109.4)/109.4 107.2)/107.2
= 1.96% = 2.74% = 2.05%
Thus the correct answer is (B) 2007, 2008
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prior written permission from AssessmentDay.Q13 Admin costs are projected to increase by a quarter in 2010 and Net Interest to
increase by 2.5%, whilst all other costs and incomes are projected to remain
constant. What is the projected Profit Before Tax for 2010 (in £million)?
(A) £53.28 million
(B) £69.45 million
(C) £113.2 million
(D) £144.6 million
(E) £118.9 million
Step 1 – Calculate the increase in Admin costs
277.8 x .25 = 69.45
Step 2 – Calculate the increase in Net Interest
325.2 x 2.5%/100 = 8.13
Step 3 – Calculate the new Profit Before Tax using the 2009 Profit Before Tax as the starting
point
114.6 - 69.45 + 8.13 = 53.28
Thus the correct answer is (A) £53.28 million
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prior written permission from AssessmentDay.Q14 In which year did the combined Admin Costs and Loan Impairment Costs
decrease in value?
(A) 2006
(B) 2007
(C) 2008
(D) 2009
(E) Cannot Say
Step 1 - The total Admin Costs and Loan Impairment Costs are as follows:
2009 2008 2007 2006
Admin costs 277.8 231 285.9 283.5
Loan impairment costs 15 57.8 6.1 5.9
TOTALS 292.8 288.8 292 289.4
Thus the correct answer is (C) 2008
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prior written permission from AssessmentDay.Q15 If corporation tax of 21% was applied each year to the Profit Before Tax, what
was the average net profit across 2006-2009?
(A) £110.9 million
(B) £114.6 million
(C) £115.6 million
(D) £86.4 million
(E) £87.6 million
Step 1 – Calculate the average Profit Before Tax across 2006-2009
(114.6 + 112.4 + 109.4 +107.2)/4 = 110.9
Step 2 – Deduct the 21% tax
110.9 x 79%/100 = £87.6 million
Thus the correct answer is (E) £87.6 million
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prior written permission from AssessmentDay.Q16 What was the total number of days spent on Client work in March using the
formula 1 day = 7 working hours (to the nearest whole day)?
(A) 300 days
(B) 290 days
(C) 280 days
(D) 270 days
(E) 260 days
Step 1 – Calculate the total hours spent
402 + 370 + 419 + 434 + 404 = 2029
Step 2 – Calculate the total days spent
2029 / 7 = 289.9 days
Thus the correct answer is (B) 290 days
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prior written permission from AssessmentDay.Q17 If there were 3 members within Team B, what was the average number of
hours spent on non-client work during March?
(A) 37hours
(B) 38 hours
(C) 39 hours
(D) 40 hours
(E) 41 hours
Step 1 – Calculate the number of non-client hours
42 + 6 + 72 = 120
Step 2 – Divide by the 3 team members
120 / 3 = 40 hours
Thus the correct answer is (D) 40 hours
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prior written permission from AssessmentDay.Q18 If Teams A-C bill clients at £75 per hour and less experienced Teams D and
E bill clients at £55 per hour, what is the total client income for March (to the
nearest £1,000)?
(A) £127,000
(B) £129,000
(C) £131,000
(D) £133,000
(E) £135,000
Step 1 – Calculate the client bill for Teams A-C
£75 x (402 + 370 +419) = £89,325
Step 2 – Calculate the client bill for Teams D and E
£55 x (434 + 404) = £46,090
Step 3 – Calculate the total client bill
£89,325 + £46,090 = £135,000 (to the nearest £1,000)
Thus the correct answer is (E) £135,000
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prior written permission from AssessmentDay.Q19 If the monthly summary shown is representative of the time typically spent
each month over the course of a year (1 year = 12 months) then how many
days (1 day = 8 working hours) do Teams A-E spend in meetings over the
course of a year?
(A) 327 days
(B) 357 days
(C) 347 days
(D) 337 days
(E) 367 days
Step 1 – Calculate the total time spent in meetings in March
40 + 72 + 32 + 18 + 56 = 218 hours
Step 2 – Calculate the time per year
218 x 12 = 2616 hours
Step 3 – Put this figure into days
2616 / 8 = 327 days
Thus the correct answer is (A) 327 days
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prior written permission from AssessmentDay.Q20 Put the teams in increasing order of total hours worked in March (starting
with the lowest number of total hours worked).
(A) D, A, C, B, E
(B) C, B, A, E, D
(C) D, A, C, E, B
(D) A, D, E, C, B
(E) A, D, C, E, B
Step 1 - Calculate the total hours worked;
Team A Team B Team C Team D Team E
478 490 479 475 486
Step 2 - Put teams into order of increasing numbers of hours worked.
Thus the correct answer is (C) D, A, C, E, B
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prior written permission from AssessmentDay.Q21 How much did Deus Bank income from new institutional investors differ from
that of new private clients?
(A) $85,250
(B) $106,950
(C) $109,500
(D) $103,950
(E) $114,500
Step 1 - Calculate the totals
114,500 – 10,550 = 103,950
Thus the correct answer is (D) $103,950
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prior written permission from AssessmentDay.Q22 What is the ratio of Fund P’s sales to new private clients compared to new
institutional investors?
(A) 1:4
(B) 1:5
(C) 1:6
(D) 1:7
(E) 1:8
Step 1 - Put the figures into a ratio
2,500 : 17,500 = 1:7
Thus the correct answer is (D) 1:7
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prior written permission from AssessmentDay.Q23 What are Deus Bank’s total new private client and institutional investor Fund
sales (in £s) at an exchange rate of $1.55 to the £?
(A) £73,871
(B) £193,827
(C) £80,677
(D) £177,475
(E) £43,774
Tip: make sure you don't include sales from Bonds; the question asks for Fund sales only.
Step 1 – Total the Fund sales for new institutional investors and private client
(17,500 + 21,000 + 23,000) + (2,500 + 2,250 + 1,600) = $67,850
Step 2 – Apply the exchange rate of $1.55 to the £
$67,850 / 1.55 = £43,774.2
Thus the correct answer is (E) £43,774
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prior written permission from AssessmentDay.Q24 Deus Bank pays 6% and 8% commission on Bond U and Bond S sales
respectively over $15,000. How much commission is paid for new Bond U and
Bond S sales (across both private clients and institutional investors)?
(A) $1,750
(B) $2,505
(C) $1,560
(D) $2,103
(E) $1,861
Step 1 – Calculate the total Bond U and Bond S sales
Bond U = 30,750
Bond S = 26,450
Step 2 – Deduct $15,000 from each
Bond U = 30,750 – 15,000 = $15,750
Bond S = 26,450 – 15,000 = $11,450
Step 3 – Calculate commissions
$15,750 x 6% =$945
$11,450 x 8% = $916
Total commission = $1,861
Thus the correct answer is (E) $1,861
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prior written permission from AssessmentDay.Q25 What % of total new private client and new institutional investor sales do
Bond U sales represent (to the nearest %)?
(A) 21%
(B) 22%
(C) 23%
(D) 24%
(E) 25%
Step 1 - Calculate the % of Bond U sales compared to total sales for new institutional investor
sales and new private client sales, as shown below:
New Private
institutional client
investor sales sales Total % of total (125050)
Fund P 17500 2500 20000 16%
Fund F 21000 2250 23250 19%
Fund G 23000 1600 24600 20%
Bond U 29000 1750 30750 25%
Bond S 24000 2450 26450 21%
Thus the correct answer is (E) 25%
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prior written permission from AssessmentDay.Q26 What was the approximate fraction of Fixed Assets to Loans Made at the end
of the financial year 2009?
(A) 1/40
(B) 1/45
(C) 1/20
(D) 1/60
(E) 1/48
Step 1 - The fraction is 614 ÷ 24,600 ≈ 1/40.
Tip - You should be able to recognise that your calculator answer of 0.02496 is approximately
ten times smaller than 0.25 and thus from the available answers select 1/40.
Thus the correct answer is (A) 1/40
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prior written permission from AssessmentDay.Q27 Which asset or assets have changed in value by more than 12% from 2007
to 2009?
(A) Liquid Assets, Loans Made
(B) Loans made, Fixed assets
(C) Loans Made
(D) Fixed Assets
(E) Can’t tell from data
Step 1 - Calculate the % change in asset values, as shown below. Work out the figures for
only the options given, to save time.
Assets at end of 2009 2007
financial year
(£million) (£million) Difference % change
Liquid Assets 10214 10735 521 - 4.85
Loans Made 24600 21973.5 2626.5 11.95
Fixed Assets 614 541.5 72.5 13.39
Thus the correct answer is (D) Fixed Assets
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prior written permission from AssessmentDay.Q28 In 2010, Loans made are projected to decrease by an eighth and both
Derivatives and Fixed Assets are projected to increase by 5%. What will be
the impact on the 2010 Total Assets value (in £million)?
(A) 3,075.70 increase
(B) 3,018.70 decrease
(C) 3,000.00 decrease
(D) 3,095.70 decrease
(E) Can’t tell from data
Step 1 - Calculate the changes in 2009 figures for Loans Made; and both Derivatives and
Fixed Assets
Loans made; 24,600 / 8 = - 3,075
Derivatives; 512 x 5% = + 25.6
Fixed Assets; 614 x 5% = + 30.7
Step 2 - Calculate the overall impact
3075 (Loans Made) + 25.6 (Derivatives) + 30.7 (Fixed Assets) = - 3,018.7
Thus the correct answer is (B) 3,018.70 decrease
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prior written permission from AssessmentDay.Q29 Which liability or liabilities have experienced a 10% change in value between
2008 and 2009?
(A) Reserve Liabilities
(B) Borrowings, Reserve Liabilities
(C) Borrowings
(D) Other Liabilities, Borrowings
(E) Other liabilities, Share liabilities
Step 1 - Calculate the % change in value between 2008-2009, as follows;
2009 2008 % change
Reserve Liabilities 111.6 124 -10%
Borrowings 1389.6 1544 -10%
Share Liabilities 1958 1628 20%
Other Liabilities 41.8 35 19%
Thus the correct answer is (B) Borrowings, Reserve Liabilities
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prior written permission from AssessmentDay.Q30 What is the ratio of Reserve Liabilities (2008); Reserve Liabilities (2007)?
(A) 132:124
(B) 13:12
(C) 12:13
(D) 31:33
(E) 31:32
Step 1 - Put the figures into a ratio:
124:132 = 31:33
Thus the correct answer is (D) 31:33
-- End of Test --
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