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Numerical Comprehension Test 5
Solutions Booklet
Instructions
This numerical reasoning test comprises 18 questions, and you will have 18 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. If the exact correct answer is not provided,
select the closest possible answer. 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 A crowd funding campaign to raise seed capital for a new venture succeeded
in raising £25,000. In total, 752 investors participated in the crowd funding
campaign. Three years later, the new venture had become a success and
investors were permitted to make an exit. If the individual share price has
since tripled, what would the average profit per investor be from selling the
shares?
(A) £57.81
(B) £60.15
(C) £63.89
(D) £66.49
(E) £69.24
Step 1 – Calculate the total amount returned to the investors by tripling the initial investment
raised (£25,000).
£25,000 x 3 = £75,000
Step 2 – Calculate the total profit from the investment by subtracting the initial amount
(£25,000) by the total return from the investment (£75,000).
£75,000 – £25,000 = £50,000
Step 3 – Calculate the average return per investor by dividing the total return on investment
(£50,000) by the number of investors (752).
£50,000 / 752 = £66.48936170 = £66.49
Thus the correct answer is (D) £66.49
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prior written permission from AssessmentDay.Q2 A pharmaceutical company dedicates 21% of its annual budget to research
and development activities. ½ of this is focused on developing antiviral drugs.
Of this anti-viral drug research, ¼ is spent on improving existing drugs. If the
company’s annual budget is £75,000,000, how much money is spent
annually on improving existing antiviral drugs?
(A) £1,756,750
(B) £1,854,000
(C) £1,968,750
(D) £2,015,500
(E) £2,157,250
Step 1 – Calculate the amount of the budget allotted to research and development activities
by identifying 21% (0.21) of the total annual budget (£75,000,000).
£75,000,000 x 0.21 = £15,750,000
Step 2 – Calculate the amount of the research and development budget devoted to
developing anti-viral drugs by dividing the research and development budget by 2 (1/2).
£15,750,000 / 2 = £7,875,000
Step 3 – Calculate the amount spent on improving existing antiviral drugs by identifying one
quarter (0.25) of the budget allotted to develop antiviral drugs (£7,875,000).
£7,875,000 x 0.25 = £1,968,750
Thus the correct answer is (C) £1,968,750
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prior written permission from AssessmentDay.Q3 In the previous year, a university received 2,129 applications, with 34% of
applicants being offered places. However, this year the university only
received 1,653 applications, with 48% of applicants being offered places.
What is the difference in successful applications between this year’s intake
and the previous year?
(A) 57 applicants
(B) 60 applicants
(C) 63 applicants
(D) 66 applicants
(E) 69 applicants
Step 1 – Calculate how many applicants were successful in the previous year by identifying
34% (0.34) of the number of applicants (2,129).
2,129 x 0.34 = 723.86 = 724
Step 2 – Calculate how many applicants were successful this year by identifying 48% of the
number of applicants (1,653).
1,653 x 0.48 =793.44 = 793
Step 3 – Calculate the difference in the number of successful applicants by subtracting the
current intake (793) by the previous year’s intake (724).
793 – 724 = 69
Thus the correct answer is (E) 69 applicants
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prior written permission from AssessmentDay.Q4 Tobin is required to purchase stationary for the office. A pack of A4 paper
costs £2.99, a box of pencils costs 1.99 and a pack of ball tip pens costs
£0.99.If Tobin is required to purchase 25 packs of A4 paper, 15 boxes of
pencils and 20 packs of ball tip pens, how much money will remain unspent
with a budget of £130?
(A) £4.85
(B) £5.13
(C) £5.54
(D) £5.60
(E) £6.13
Step 1 – Calculate the cost of the required paper by multiplying the value of the paper per
pack (£2.99) by the number of packs required (25).
25 x £2.99 = £74.75
Step 2 – calculate the cost of the required pencils by multiplying the value of the pencils
(1.99) by the number of pencils required (15).
15 x £1.99 = £29.85
Step 3 – Calculate the cost of the required pens by multiplying the value of the pens (£0.99)
by the number of pens required (20).
20 x 0.99 = £19.80
Step 4 – Calculate the amount left unspent by combining the figures above and subtracting
them from the initial budget (£130).
£130 – (£74.75 + £29.85 + £19.80) = £5.60
Thus the correct answer is (D) £5.60
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prior written permission from AssessmentDay.Q5 A manatee consumes 10% of its own bodyweight in vegetation per day and
the average manatee weighs 450kg. If a sea life park holds 23 manatees,
how much vegetation is required to feed them for a week?
(A) 7,035kg
(B) 7,245kg
(C) 7,465kg
(D) 7,621kg
(E) 7,865kg
Step 1 – Calculate the amount of vegetation required to feed a single manatee for one day by
identifying 10% (0.1) of the manatees weight (450kg)
450kg x 0.1 = 45kg
Step 2 – Calculate the amount of vegetation required to feed 23 manatees per day by
multiplying the number of manatees (23) by the amount of vegetation required to feed one
manatee per day (45kg)
23 x 45kg = 1,035kg
Step 3 – Calculate the amount of vegetation required to feed 23 manatees for a week by
multiplying the amount of vegetation consumed per day (1,035kg) by the number of days in a
week (7).
1,035kg x 7 = 7,245kg
Thus the correct answer is (B) 7,245kg
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prior written permission from AssessmentDay.Q6 A company places an order for 30,000 business cards. For the first 1,000
business cards, the company will be charged 65p per card. For the next
9,000 cards, the company is charged 60p per card. For all following cards,
the company is charged 55p. If business cards are delivered in packs of
5,000 cards and a postage and packaging fee of £3.95 is charged per pack,
how much will these business cards cost the company all together?
(A) £13,950.75
(B) £14,750.70
(C) £15,100.00
(D) £16,010.10
(E) £17,073.70
Step 1 – Calculate the cost of the first 1,000 business cards by multiplying the price per card
by the number of cards (1,000).
1,000 x £0.65 = £650
Step 2 – Calculate the cost of the next 9,000 business cards by multiplying the price per card
by the number of cards (9,000).
9,000 x £0.60 = £5,400
Step 3 – Calculate the cost of the following business cards by multiplying the price per card
by the number of cards (20,000).
20,000 x £0.55 = £11,000
Step 4 – Calculate the total cost of the business cards by combining the figures above.
£650 + £5,400 + £11,000 = £17,050
Step 5 – Calculate the cost of postage & packaging for each pack (£3.95), remembering to
divide the 30,000 business cards into the packs of 5,000 as delivered.
£3.95 x 6 = £23.70
Finally, add the delivery cost to the total cost of business cards.
£23.70 + £17,050 = £17,073.70
Thus the correct answer is (E) £17,073.70
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prior written permission from AssessmentDay.Q7 An individual savings account (ISA) is a financial product, allowing customers
to avoid paying tax on savings up to £5,640. One customer has £5,000 in an
ISA and another customer has £5,000 in a regular savings account. If both
savings accounts pay 3% interest (paid once annually) and both customers
pay 20% income tax, how much more interest is earned by the customer with
the ISA in 1 year? (income tax is paid on regular interest payments, not
ISA’s)
(A) £30.00
(B) £32.50
(C) £35.00
(D) £37.50
(E) £40.00
Step 1 – Calculate the interest paid on the ISA by identifying 3% of the total value of the ISA
(£5,000).
£5,000 x 0.03 = £150
Step 2 – Calculate the interest paid on the regular savings account by identifying 3% of the
value of the savings account (£5,000) then decreasing this amount by 20% (0.2).
£5,000 x 0.03 = £150
£150 - (£150 x 0.2) = £120
Step 3 – Calculate the difference between the two interest payments by subtracting the ISA
interest payment by the regular account payment.
£150 – £120 = £30
Thus the correct answer is (A) £30.00
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prior written permission from AssessmentDay.Q8 The performance enhancing effects of caffeine are well known, and 6mg per
kg of bodyweight is the minimum dose required for performance
enhancement. In the case of a 185 pound athlete, what is the minimum
caffeine dose needed for performance enhancing effects? (1kg = 2.2
pounds.)
(A) 504.5 mg
(B) 512.5 mg
(C) 526.5 mg
(D) 534.5 mg
(E) 542.5 mg
Step 1 – Calculate the weight of the athlete in kg by dividing the athletes weight by 2.2.
185 / 2.2 = 84.090909kg = 84.1kg
Step 2 – Calculate the required dose by multiplying the athlete’s weight in kg (84.1kg) by the
minimum dose required per kg (6mg).
84.1 x 6 = 504.545454 = 504.5mg
Thus the correct answer is (A) 504.5 mg
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prior written permission from AssessmentDay.Q9 A survey was taken within an organization to gather demographic
information. It was found that women make up 34% of the workforce and that
ethnic minorities make up 28% of the workforce. If there are 1,520
employees at this organization, how many employees are women from ethnic
minorities?
(A) 130
(B) 135
(C) 140
(D) 145
(E) Cannot say
Step 1 – Because we are not told what percentage of women are from ethnic minorities, we
cannot say how many women are from ethic minorities based on the information provided. It
is possible that anywhere from 0-28% of the workforce are women from ethnic minorities, we
cannot assume that 28% of all women are from ethnic minorities.
Thus the correct answer is (E) Cannot Say
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prior written permission from AssessmentDay.Q10 An employer receives 15,000 applications for a graduate scheme. Following
psychometric testing, 60% of applicants were screened out. Of the
successful candidates a further 55% were screened out following an online
interview. The remaining candidates were invited to assessment centres, in
which 15% received job offers. How many graduates received job offers from
the initial applicants?
(A) 390
(B) 395
(C) 400
(D) 405
(E) 410
Step 1 – Calculate the number of applicants that remained after the psychometric testing
stage by identifying 40% (0.40) of the initial applicant pool (15,000).
15,000 x 0.4 = 6,000
Step 2 – Calculate the number of applicants that remained after the online interview by
identifying 45% (0.45) of the remaining applicants (6,000).
6,000 x 0.45 – 2,700
Step 3 – Calculate the number of applicants which received job offers by identifying 15%
(0.15) of the remaining applicants (2,700).
2,700 x 0.15 = 405
Thus the correct answer is (D) 405
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prior written permission from AssessmentDay.Q11 A student union holds an election to elect a new president. Candidate A
received 138 votes, Candidate B received 264 votes and candidate C
received 87 votes. If 59% of student union members did not vote and there
were only three candidates, what percentage of the student union voted for
candidate B?
(A) 18.24%
(B) 20.21%
(C) 22.14%
(D) 24.78%
(E) 26.14%
Step 1 – Calculate the percentage of the votes received by candidate B by dividing the
number of votes received by candidate B by the total number of votes and then multiplying by
100.
489 / 264 = 0.539877301
0.539877301 x 100 = 53.9877301 = 54%
Step 2 – calculate the percentage of the total student union that voted for candidate B by
identifying 54% (.54) of 41% (100 – 59 = 41).
41 x 0.54 = 22.14%
Thus the correct answer is (C) 22.14%
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prior written permission from AssessmentDay.Q12 George is traveling in his car at a speed of 30 metres per second. The speed
limit for the road he is traveling on is 70 miles per hour. By how much is
George traveling under or above the speed limit? (1 mile = 1.609344
kilometres).
(A) Under by 6 miles per hour
(B) Under by 3 miles per hour
(C) Over by 3 miles per hour
(D) Over by 6 miles per hour
(E) Cannot say
Step 1 – Calculate George’s speed in kilometres per hour by multiplying his speed per
second (30 metres/second) by 60 (minutes) and again by 60 (hours), then dividing by 1,000
(kilometres).
30 x 60 x 60 =108,000
108,000 / 1,000 = 108 kilometres per hour
Step 2 – Calculate George’s speed in miles per hour by dividing his speed in kilometres per
hour by 1.609344.
108 / 1.609344 = 67.10808876 = 67 miles per hour
Step 3 – Subtract Georges speed by the speed limit to identify the extent which George is
under the speed limit.
70 – 67 = Under by 3 miles per hour
Thus the correct answer is (B) Under by 3 miles per hour
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prior written permission from AssessmentDay.Q13 A hotel currently has 80% of its rooms booked for the first of May. In order to
reach 100% occupancy, the hotel has lowered the price of the rooms by
12.5%. If there are 25 rooms still available, and each room was originally
£150 per night, how much additional revenue is made by reaching 100%
occupancy?
(A) £3,281.25
(B) £3,358.75
(C) £3,452.55
(D) £3,524.25
(E) £3,412.75
Step 1 – Calculate the revenue generated by reaching 100% occupancy without the discount
by multiplying the number of rooms (25) by the original price of renting the room (£150).
25 x £150 = £3,750
Step 2 – Calculate the 12.5% discount by decreasing the total revenue amount (£3,750) by
12.5% (0.125).
£3,750 x 0.125 = £468.75
£3,750 - £468.75 = £3,281.25
Thus the correct answer is (A) £3,281.25
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prior written permission from AssessmentDay.Q14 A Tobin tax is a tax on spot conversion of one currency into another. An
investor converts 12,000 US dollars into Euros on a foreign exchange
market. If the exchange charges a 3% fee per transaction, and a 1.5% Tobin
tax is charged on the value of the transaction after paying the fee, how many
Euros will the investor have after the conversion? (1 US dollar = 0.75 Euros)
(A) €8,102.84
(B) €8,235.54
(C) €8,325.36
(D) €8,461.10
(E) €8,599.05
Step 1 – Calculate the number of Euros which can be bought purely based on the exchange
rate by multiplying the initial amount in dollars (12,000) by the exchange rate (0.75).
$12,000 x 0.75 = €9,000
Step 2 – Calculate the number of euros left after the 3% transaction fee has been levied by
decreasing the initial number by 3%.
€9,000 x 0.03 = €270
€9,000 - €270 = €8,730
Step 3 – Calculate the number of euros left after the Tobin tax by decreasing the initial
number minus the fee by 1.5%.
€8,730 x 0.015 = €130.95
€8,730 - €130.95 = €8,599.05
Thus the correct answer is (E) €8,599.05
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prior written permission from AssessmentDay.Q15 An executive headhunter charges 1/3 of the basic salary of each executive
they provide to their clients. Of this 1/3, the headhunter personally receives
50% of this fee as a personal commission. If the headhunter provides 12
executives per year, who have an average basic salary of £150,000, how
much commission will the executive headhunter earn?
(A) £225,000
(B) £250,000
(C) £275,000
(D) £300,000
(E) £325,000
Step 1 – Calculate how much revenue is generated by the consultant per year by identifying
1/3 of the average salaries of 12 executives.
12 x £150,000 = £1,800,000
£1,800,000 x 0.333333333 = £600,000
Step 2 – Calculate how much commission is earned by the executive head-hunter by halving
the total revenue generated by the head-hunter.
£600,000 / 2 = £300,000
Thus the correct answer is (D) £300,000
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prior written permission from AssessmentDay.Q16 Jacob works part time at £6.20 an hour. Jacob is paid every four weeks. In
the first week, Jacob works for 16 hours, in the second he works for 10
hours, in the third he works for 13 hours and in the fourth he works for 19
hours. Assuming Jacob pays 20% income tax, how much money will Jacob
earn at the end of four weeks after tax?
(A) £268.24
(B) £274.24
(C) £287.68
(D) £297.34
(E) £304.56
Step 1 – calculate the income earned before tax by combining the number of hours worked
and multiplying them by the hourly rate of pay.
6.20 x (16 + 10 + 13 + 19) = £359.60
Step 2 – Calculate the income earned after tax by identifying 20% of the total income earned,
and removing it.
£359.60 x 0.2 = £71.92
£359.60 - £71.92 = £287.68
Thus the correct answer is (C) £287.68
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prior written permission from AssessmentDay.Q17 An office retailer sells A4 paper in bulk. The retailer sells five packs of A4
paper per box and each pack contains 500 sheets of paper. If the paper is
sold for £3.50 per hundred sheets, how much will 12 boxes of paper cost to
purchase?
(A) £1,050
(B) £1,150
(C) £1,250
(D) £1,350
(E) £1,450
Step 1 – Calculate the cost of purchasing one pack of A4 paper by multiplying the price of
100 sheets by 5 (500 sheets per pack)
3.50 x 5 = £17.50
Step 2 – Calculate the price per box by multiplying the number of sheets per box (5) by the
price per pack (£17.50).
£17.50 x 5 = £87.50
Step 3 – Calculate the cost of 12 boxes of paper by multiplying the price per box (£87.50) by
the number of boxes (12).
£87.50 x 12 = £1,050
Thus the correct answer is (A) £1,050
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prior written permission from AssessmentDay.Q18 A market stand was able to sell 28 of item A, 17 of item B and 23 of item C in
one day. Item A sells for £5.95, item B sells for £4.95 and item C sells for
£9.95. If the daily sales target is £400, by what amount has today’s sales
exceeded the daily target?
(A) £67.20
(B) £70.90
(C) £73.80
(D) £76.20
(E) £79.60
Step 1 – Calculate the value of the days sales by multiplying the number of items sold by their
respective prices and then combining them.
28 x £5.95 = £166.60
17 x £4.95 = £84.15
23 x £9.95 = £228.85
£166.60 + £84.15 + £228.85 = £479.60
Step 2 – Calculate the extent which the daily sales have exceeded the target by subtracting
the sales target (£400) from the sales performance (£479.60).
£479.60 - £400 = £79.60
Thus the correct answer is (E) £79.60
-- End of Test --
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