Numerical Reasoning Test1 Solutions
Numerical Reasoning Test1 Solutions
Numerical Reasoning Test1 Solutions
Solution Booklet
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Q1 Which share has shown the largest absolute range in price over the last year?
The range is the difference between the maximum and the minimum prices.
Calculate the range for each share;
Huver Co. = 1360 – 860 = 500
Drebs Ltd = 22 – 11 = 11
Fevs Plc = 1955 – 1242 = 713
Fauvers = 724 – 464 = 260
Steapars = 2630 – 2216 = 414
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Q2 What was yesterday’s cost difference between 50 shares in Fevs plc and 100
shares in Steapars?
Step 1
Calculate yesterday’s share price for each share
Fevs plc = 1586/0.91 = 1742.86 x 50 = 87,143
Steapars = 2537/1.01 = 2511.88 x 100 = 251,188
Difference = 251,188 - 87,143 = 164,045
Q3 Today’s Drebs Ltd share price represents a 40% increase on the price one
month ago. What was the price a month ago?
Step 1
Drebs Ltd’s share price is shown as 18 Euros.
This is a 40% increase and so represents 140%.
Step 2
The price a year ago (100%) is calculated as follows;
100 x 18 / 140 = 12.86
So the correct Answer is (D) 12.86 Euros
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Q4 How much is the total annual dividend payable for 1,550 shares in Drebs Ltd?
Q5 If the exchange rate is 1.15 Euros to the £, what is today’s value of 250 Drebs
Ltd shares (in £s)?
(A) £4,500
(B) £2,785
(C) £3,931
(D) £3,913
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Q6 A field sales agent plans to travel on average 4,250 miles per month driving
along motorways in her Xtam car. What is her projected average annual
consumption of fuel (in gallons)?
The information that we need is shown in the graph Car fuel economy.
Step 1
The Xtam’s fuel economy is shown as 34 miles to the gallon (motorway driving).
So, 4,250 miles/34 = 125 gallons per month.
Step 2
Annual petrol consumption = 125 x 12 = 1500
So the correct Answer is (B) 1,500
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Q7 A car dealership has £600,000 to spend and wants to buy equal numbers of
the Taber and Ursa cars. What is the largest number of each type of car that
can be ordered?
(A) 27
(B) 48
(C) 21
(D) 22
Step 1 - The cost of the Taber and Ursa cars are £12,500 and £15,250 respectively.
Step 2
Since the numbers of each car purchased must be equal, calculate the combined
cost as follows;
£12,500 + £15,250 = £27,750
Step 3
£600,000 / £27,750 = 21.6
So the correct Answer is (C) 21
(A) 2:4:5
(B) 1:4:6
(C) 1:3:5
(D) 2:3:5
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Q9 A Tink car is taken on a test drive for 90 minutes around the city. If the average
speed is 34 miles per hour how much petrol is consumed?
The information that we need is shown in the graph Car fuel economy.
Step 1 - The Tink’s fuel economy (city driving) = 34 miles to the gallon.
Step 2
Speed = distance / time.
34 miles per hour = X distance / 90 mins = X distance / 1.5 hours
X distance = 34 x 1.5 = 51 miles
Step 3
Petrol consumed = 51 / 34 = 1.5 gallons
So the correct Answer is (A) 1.5 gallons
Q10 A family plans to spend a month driving around Scottish cities where the
average cost of a gallon of petrol is £4.75. If the family drive 1,500 miles in
their Velvo, what would be the family’s total petrol costs (to the nearest £)?
(A) £216.00
(B) £203.57
(C) £204.00
(D) None of these
The information that we need is shown in the graph Car fuel economy.
Velvo’s fuel consumption (city driving) = 35 miles per gallon
1500/35 = 42.86 gallons required
Cost = 42.86 x £4.75 = £203.57
To the nearest £ = £204
So the correct Answer is (C) £204
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Q11 The projection for Year 6 is the same absolute increase in spending by legal
services on IT hardware, software and consulting as there was in Year 5. What
is the total spending projection for IT hardware, software and consulting by
legal services in Year 6?
The information that we need is shown in the graph IT spending by the legal sector.
Step 2 – calculate the total for the year after the projected year
Since there is an “even increase” the same increase of £5 million will occur in IT
hardware, software and consulting.
Total = 45 + 30 + 20 + (3 x 5) = £110 million
So the correct Answer is (D) £110 million
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Q12 How much did Make Fit Ltd’s income from consultancy services for Years 1 to
Year 3 inclusive differ from Pure Gap plc’s income over the same period?
The information that we need is shown in the graph Income for IT consultancy
services.
Total the income for each company across the three years; Year 1 to Year 3
Make Fit Ltd = 290 + 180 + 260 = 730
Pure Gap plc = 230 + 310 + 300 = 840
730 – 840 = -110 (£10,000’s)
So the correct Answer is (D) £1,100,000 less
Q13 Which of the following statements is false regarding legal sector spending
between Year 4 and projected Year 5.
The information that we need is shown in the graph IT spending by the legal sector.
The question focuses on the data for Year 4 and the Projection.
Check whether each statement is true or false. The option for D is false. There are
increases projected for IT hardware, for IT software and for consulting.
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Q14 In which year(s) did Make Fit Ltd and Pure Gap plc’s combined IT consultancy
income exceed £6million?
The information that we need is shown in the graph Income for IT consultancy
services.
Q15 If there had been double the number of Pure Gap plc sales in Year 2, what
fraction would Make Fit Ltd sales been of combined Pure Gap plc and Make Fit
Ltd sales in Year 2?
(A) 18/49
(B) 9/40
(C) 9/4
(D) 4/9
Step 3 – calculate the fraction Make Fit Ltd sales are of the combined Pure Gap plc
and Make Fit Ltd sales
180/800 = 9/40
So the correct Answer is (B)
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Q16 If actual labour costs rise so as to halve their discrepancy against the target,
what will be the change in Gross Profit?
Q17 IKE Computers aim to grow monthly profits by 1.5%, starting in February. If
monthly costs are kept constant what will the sales turnover need to be in
February?
(A) £242,099
(B) £278,036
(C) £38,555
(D) £274,299
Step 1
The Net Turnover will need to rise by an equivalent amount i.e. 1.5% of Gross Profit
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36,521 x 1.5% = 547.8
547.8 + 238, 521 = 239,068.8
Step 2
Gross turnover = 239,068.8 x 1.163% = £278,036
Thus the correct Answer is (B) £278,036
Q18 If the American operations of IKE Computers had a January sales turnover in
the ratio of 4:5 (American:UK) then what was the January sales turnover for
American operations in $ (at an exchange rate of 1.6$ to the £)?
(A) $557,400
(B) $355,008
(C) $216,860
(D) $216,680
Step 3 – Calculate the difference of replacing 20 full time employees with interims
925 x 20 = £18,500
Thus the correct Answer is (D) £18,500
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Q20 If February’s profit target is set as a 40% increase on January’s figure, to be
followed by a 25% decrease in March, what is March’s profit target (in
£1,000s)?
(A) 66,675
(B) 66.7
(C) 6.7
(D) 666,750
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Q21 Which sector represents approximately 19% of total profits?
(A) Leisure
(B) Manufacturing
(C) Retail
(D) Utilities
The series of calculations is best shown in a table, where the first calculation is the
total profit for each sector across the three territories.
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Q22 If the ratio of profit to turnover for Pacific Rim contracts was 2:15, what was
the Government turnover in the Pacific Rim (in £100,000s)?
(A) 36
(B) 27
(C) 270
(D) 360
Q23 Reyes Heslop plans to expand its leisure consultancy profits from the current
1/20th share of total profits to a 1/5th share of total profits. What absolute
value does this Reyes Heslop expansion represent?
Q24 A competitor wants to takeover Reyes Heslop and offers a price of 8 times
current profits. Reyes Heslop shareholders reject this offer and suggest a
price that is 20% higher, what is this price?
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Q25 If the Worldwide Sales Director of Reyes Heslop Consulting is aiming for a
total sales ratio of 3:2 (American: Pacific Rim), by what absolute amount do
American profits need to change if Pacific Rim profits remain constant?
Step 1 – calculate the absolute levels of American: Pacific Rim ratio sales;
£31.4 million (American): £24.5 million (Pacific Rim)
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Q26 What is the difference between direct sales and telesales across the five teams
Step 1 - Calculate the total direct sales and telesales across the five teams
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Q27 If there are 50 direct sales and 65 telesales employees assigned to each of the
Eastern region’s teams A-E, what are the average sales per sales employee for
the lowest performing team in terms of overall sales (to the nearest £1,000)?
Step 1 – obtain the lowest performing team from calculating the overall sales (direct
sales and telesales combined)
Team A total = 33
Team B total = 30
Team C total = 34
Team D total = 33
Team E total = 32
So, Team B is the lowest performing team overall.
Q28 If the Eastern Region’s total sales represent 26% of the total for all regions,
what are the total sales across all regions (to the nearest £million)?
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Q29 What are the total sales targets for next year across all five teams if the target
is set as a 20% and 10% increase in this year’s Direct Sales and Telesales
respectively?
Calculate the increase in the direct sales and telesales totals, as follows;
Q30 If there are 5 direct sales employees and 6 telesales employees in each team,
which sub-team has the lowest average sales per rep?
Calculate the average sales per direct sales and per telesales rep, as follows;
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-- End of Sample Numerical Reasoning Test 1 –
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