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Numerical Critical Reasoning
Test 1
Solutions Booklet
Instructions
This numerical reasoning test comprises 20 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 How much more or less time did Reg spend 'signed on' in October than
September?
Answer: 19.62 hours more
Step 1: Look at the table above. Reg spent 109.91 hours ‘signed on’ in October.
Step 2: Look at the table above. Reg spent 90.29 hours ‘signed on’ in September.
Step 3: Therefore he spent more time Signed on in October. So, you are looking for a positive
answer.
Step 4: October – September = 109.91 hours – 90.29 hours = 19.62 hours
Tip: In practice, just type the October number minus the September number straight into your
calculator to save time.
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prior written permission from AssessmentDay.Q2 Which advisor has/had been working at the Call Centre for the longest
period of time?
Answer: Margaret
Step 1: You need to work out how long they have been at the call centre by looking at their
start date and end date.
Step 2: Sue: First work out number of years from Month to Month (don’t worry about the exact
number of days as we will come back and work these out if we find two people with
similar periods. So for Sue: March 1997 to July 2007 = 10 years 4 months.
Step 3: Bob is still there. So work out June 2005 to January 2012 = 6 years 7 months
Step 4: Repeat for the rest of the table:
Years Months
Sue 10 4
Bob 6 7
Reg 8 6
Margaret 17 6
Winston 1 1
Ritu 9 2
William 12 11
Yusef 4 10
Sarah 3 0
TIP: Save time by working out just the months. Then if it is close between two possible
answers, you can work out the exact number of days for just those possible answers.
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prior written permission from AssessmentDay.Q3 As a monthly average, how much more or less time did Winston spend
'signed on' than William during Aug - Oct inclusively?
Answer: 8.42 hours less
Step 1: You need to work out how long Winston has spent signed on for those three months
then divide by 3 months to work out average sign on.
Winston Aug + Sept + Oct = 16.66 + 89.17 + 42.92
Winston total sign on = 148.75.
On average was 148.75/3 months = 49.58 hours
Step 2: You then need to work out how long William has spent signed on for those three
months then divide by 3 months to work out average sign on.
William total sign on = 174. On average was 174/3 = 58
Step 3: Winston's average is less than William so looking for a negative answer.
Step 4:49.58 – 58 = -8.42 = 8.42 hours less
TIP: Remember to check which person the question is asking you to compare to. This will
make a difference to the ‘sign’ of the answer. In this case they have asked you to
compare William TO Winston....so you would take William away from Winston.
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prior written permission from AssessmentDay.Q4 Which advisor had the biggest increase in Sign On hours from August to
September?
Answer SARAH
STEP 1 You need to minus August Sign On from September Sign On for each Advisor
E.g. Sue September 137.65 – Sue August 96.56 = 41.09
STEP 2 Repeat for all advisors:
Sue 41.09
Bob 12.99
Reg 23.90
Margaret 51.23
Winston 72.51
Ritu 72.96
William 75.85
Yusef 98.08
Sarah 98.81
STEP 3 Look for the greatest INCREASE – so this is a positive number to indicate
September is greater than August = SARAH.
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prior written permission from AssessmentDay.Q5 You have been prescribed Amitriptyline. How long will 1 packet last? (based
on the recommended dose)
ANS 30 days
STEP 1 Each packet has 60 pills. You need to take 10mg per day. Each pill is 5mg.
10mg / 5mg = 2 pills per day
STEP 2 60 pills in the packet / 2 pills per day = 30 days’ worth of pill
TIP Remember to work out how many pills you need to take per day first.
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prior written permission from AssessmentDay.Q6 You have been asked to take Duloxetine for 3 months. How much will this
prescription cost you? (based on the recommended dose)
Answer £72.90
STEP 1 Each packet has 120 pills. You need 60mg per day. Each pill is 30mg.
60mg/30mg = 2 pills per day. 120 pills / 2 = 60 days
STEP 2 There are 92 days maximum in 3 consecutive months (31+30+31). There are no three
consecutive months that have 31 days.
92 / 60 = 1.53 packets needed = 2 packets
STEP 3 1 packet = £36.45. 2 x £36.45 = £72.90
TIP Remember that even though you only need 1 and a half packets of pills, you still need
to buy a whole packet. Therefore you must buy 2 packets.
If you consider the maximum length of three months to be 93 days (31+31+31), then
the answer will remain the same.
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prior written permission from AssessmentDay.Q7 You are taking Tramadol (100mg). What is the most that a 60 day
prescription will cost you? (based on the recommended dose)
Answer £36
STEP 1 Each packet has 60 pills. You need 200mg per day. Each pill is 100mg.
200mg/100mg = 2 pills per day. 60 pills / 2 = 30 days
STEP 2 1 packet will last you 30 days. Therefore you need 2 packets to last 60 days
STEP 3 1 packet = £8.95 for 50mg pills. But you need to pay 30p per pill. 1 packet has 60 pills.
2 packets have 120 pills.
30p x 120 pills = £36
TIP Remember to read the small print as you needed to know that the price quoted was for
50mg pills only.
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prior written permission from AssessmentDay.Q8 How much will it cost for a year's prescription of Duloxetine? (based on the
recommended dose)
Answer £255.15
STEP 1 Each packet has 120 pills. You need 60mg per day. Each pill is 30mg.
60mg/30mg = 2 pills per day. 120 pills / 2 = 60 days
STEP 2 1 packet will last you 60 days. There are 365 days in a year.
365/60 = 6.08 packets
STEP 3 You therefore need to buy 7 packets to last the year
7 x £36.45 = £255.15
TIP Even though you only need to use a tiny bit more than 6 packets, the rule still counts and
you need to buy more than you need.
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prior written permission from AssessmentDay.Q9 How many cars and motorbikes did Hexa Group sell in 2009?
Answer 1,386,668
STEP 1 You need to sum all the figures in the 2009 column for the Sales Volume for Automobiles
AND Motorcycles.
STEP 2 Automobiles = 1286310 Motorcycles = 100358
1,286,310 + 100,358 = 1,386,668
TIP Just type the numbers straight into your calculator carefully to save time. Make sure you
only look at Sales not Production.
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prior written permission from AssessmentDay.Q10 Which Automobile model had the lowest ratio of Sales to Production in
2008? What ratio is that?
Answer SPORT 0.86:1
STEP 1 You need to divide the Sales of each Automobile in 2008 by the matching Production
figure for Automobiles in 2008.
Series A Sales = 1,202,239 divided by Series A Production = 1203482 = 0.999
Series B Sales divided by Series B Production = 0.989
Sport Sales divided by Sport Production = 0.856
STEP 2 The answer is therefore Sport.
When asked to specify the ratio, the answers are 2 decimal places = 0.86
TIP Note that the question is asking for Sales to Production. So the ratio is going to be Sales
divided by Production which gives you Sales: Production. If you divide by Sales then the
ratio would be Production to Sales.
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prior written permission from AssessmentDay.Q11 What is the total change in % for Motorcycle Production of Series A
between 2009 and 2010?
Answer 20%
STEP 1 You need to minus Motorcycle Production for 2009 from 2010.
Series A Motorcycle Production 2009 = 82631
Series A Motorcycle Production 2010 = 99236
There has been an increase in production therefore you should expect a positive
change.
99,236 – 82,631 = 16,605
STEP 2 To work out the percentage change you need to see how much 16605 is of 82631.
(X % of 82,631) + 82,631 = 99,236
X% of 82,631 = 16605
16,605 / 82,631 = 20.1% = 20% (0 decimal places)
TIP Note that the question is asking for Motorcycle Production figures so make sure you
look at the right lines of the table.
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prior written permission from AssessmentDay.Q12 Between which two years was there the smallest change in Automobile sales
Answer Between 2007 and 2008.
STEP 1 You need to total the sales of Automobiles for each year.
2006 total = sum of Series A + Series B + Sport = 1373970
2007 total = 1500678
2008 total = 1435876
2009 total = 1286310
2010 total = 1461166
STEP 2 You now need to see the difference between each year.
2007 – 2006 = 1500678 – 1373970 = 126708
2008 – 2007 = -64802
2009 – 2008 = -149566
2010 – 2009 = 174856
STEP 3 Looking at the differences the least change is between 2007 and 2008
TIP For this question, whether the change is positive or negative is irrelevant. You are simply
looking to seeing which years showed the biggest difference so ignore the –ve or +ve sign
and focus on the size of the difference.
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prior written permission from AssessmentDay.Q13 You decide you want to buy 4 A4 Landscape Calendars. What’s the least
you need to spend on Packaging?
Answer £6.40
STEP 1 Check the dimensions of an A4 Landscape Calendar?
29.7 cm by 21 cm
STEP 2 Look at the choice of packaging.
Eliminate Small.
Medium fits if you turn the A4 Landscape to Portrait
STEP 3 How many calendars can fit in a Medium package? Only 3 but you need 4 to fit.
Therefore, you need to buy 2 Medium packages
2 x £3.20 = £6.40
TIP Make sure you choose the cheapest package as the A4 Calendar would also fit in the
Large, X large and XX large envelopes – but the question has specifically asked you to
state the minimum price.
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prior written permission from AssessmentDay.Q14 What is the minimum price for the following order including Packaging? 1 A4
Portrait, Glossy. 2 Square small size. 1 Extra Long Glossy.
Answer £88.50
STEP 1 Create a table to help calculate the order:
Calendar Cost Glossy Quantity
A4 Portrait £14.95 £4.95 1
Square Small £14.95 2
Extra Long £24.95 £4.95 1
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prior written permission from AssessmentDay.STEP 2 Now consider the packaging.
The A4 Portrait calendar can fit in a Medium Package.
The Small Square Calendars can all fit in Small Package. However, there is room for 2 more
calendars in the Medium Package so you may as well put them in with the A4 calendar.
The Extra Long needs its own package = X large
Calendar Cost Glossy Quantity Packaging
A4 Portrait £14.95 £4.95 1 Medium = £3.20
Square Small £14.95 - 2 -
Extra Long £24.95 £4.95 1 X Large = £5.60
STEP 3 Now you need to calculate the total costs.
Add Calendar cost and price of Glossy together.
Multiply this total by the Quantity.
Add on the price of the Packaging.
Calendar Cost Glossy Quantity Packaging Total
A4 Portrait £14.95 £4.95 1 Medium = £3.20 (£14.95 + £4.95) x 1
+ £3.20 = £23.10
Square Small £14.95 - 2 - (£14.95 + £0)
X2
+ £0 = £29.90
Extra Long £24.95 £4.95 1 X Large = £5.60 (24.95 + £4.95)
x 1
+ £5.60 = £35.50
£23.10 + £29.90 +
£35.50 = £88.50
TIP Make sure you remember to multiply by the Quantity of calendars after you have added on the
Glossy extra. You also need to note which ones need to be glossy and which don’t.
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prior written permission from AssessmentDay.Q15 How much money will be taken off for the following order: 3 Glossy Square big size, 4 A2
Portrait, 1 Extra Wide Glossy
Answer Closest answer = £10 off
STEP 1 You are buying 8 calendars so you are entitled to a 3% discount.
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prior written permission from AssessmentDay.STEP 2 Calculate the cost of the order first.
Calendar Glossy Quantity Packaging Total
(£24.95 + £4.95)
Large x 2 =
x 3
Square Big £4.40 x 2 =
+ £8.80 = £98.50
Size = £24.95 £4.95 3 £8.80
A2 Portrait = 4 X Large x 4 = (£49.95)
£49.95 £6.75 x 4 = x 4
£27.00 + £27 = £226.80
(£24.95 + 4.95)
Extra wide = x 1
£24.95 £4.95 1 X Large = £5.60 + £5.60 = £35.50
£360.80
STEP 3 You now need to work out 3% of £360.80 to see how much you will save.
0.03 x £360.80 = £10.82. Therefore the closest answer is £10 off.
TIP Creating a table as above will help you ensure your calculations are accurate.
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prior written permission from AssessmentDay.Q16 If 1cm = 0.394 inches, what are the dimensions of the A2 Landscape
Calendar in inches?
Answer 23’ (W) by 17’ (H)
STEP 1 A2 Landscape Calendar is 59.4cm (W) and 42cm (H)
STEP 2 1 cm = 0.394 inches therefore:
59.4 cm = (0.394 x 59.4) inches = 23.40 = 23 inches (zero decimal places)
42 cm = (0.394 x 42) inches = 16.55 = 17 inches (zero decimal places)
TIP Make sure you round up or down correctly.
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prior written permission from AssessmentDay.Q17 What percentage has the initial investment increased or decreased by?
Answer Decreased by >0.3%
STEP 1 Total invested is £28,437
Current Value is £28,326
Therefore, Net change is £28,326 - £28,437 = -£111
STEP 2 (x% of £28,437) + £28,437 = £28,326
Therefore, (x% of £28,437) = £-111
Therefore x% = -£111 / £28,437 = -0.39%
STEP 3 Therefore there has been a decrease of more than 0.3%
TIP Remember to check that you are looking at the difference from original investment to
current investment. So you need to make sure you have the correct sign. You can see
that the current investment is less than the original investment so you already know there
has been a decrease.
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prior written permission from AssessmentDay.Q18 What is the current value of UK Absolute Return Fund/Asset (£)?
Answer £3,411
STEP 1 Number of units is 3,848.102
Each is priced at 88.64p = £0.8864
STEP 2 Multiply together to get current value in £ = £3,411
TIP Notice that the Unit price is in pence not pounds.142.51 + 4.21 + 44.86 = 191.59
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prior written permission from AssessmentDay.Q19 You decide to sell the holdings of Global UT and UK Growth UT at their
current unit price. How many units of International UT shares can you afford
to buy with the proceeds?
Answer 386.85
STEP 1 You have 3,394.640 Global UT Shares.
You sell them for £1.064 x 3,394.640 = £3,612
STEP 2 You have 1819.186 UK Growth UT shares.
You sell them for £0.9747 x 1819.186 = £1,773
STEP 3 Total money to invest into International
UT = £3612 + £1773
= £5,385
STEP 4 International UT shares cost £13.92 each.
So you can afford to buy £5,385 / £13.92 = 386.86
TIP Make sure you remember that the Unit price is in pence not pounds again for
this question.
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prior written permission from AssessmentDay.Q20 What percentage of your shares value is made up of Alternative Assets UT?
Answer Closest answer is 11%
STEP 1 Alternative Assets UT are currently worth
3,028.983 x £1.07 = £3,241
STEP 2 Total current value of your investment is £28,326
Therefore, £3,241 / £28,326 = 11.4%
STEP 3 Closest answer is 11%
TIP When you round the percentage up or down to zero decimal places, make sure you
remember the rule: It rounds down if the decimal place is <0.5 and rounds up if >= 0.5
-- End of Test --
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