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Numerical Critical Reasoning
Test 3
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 will it cost to have a Normal Delivery for a first child in a Longland Hospital
and stay 3 extra nights in a Standard Room?
Answer: £6,975
STEP 1 Work out the cost for each requirement:
First baby – so looking at the top table
Normal Delivery = £3,990
Standard Room = £995
STEP 2 Multiply number of nights by 3 as there are 3 extra nights to consider.
£995 x 3 = £2,985
STEP 3 £3,990 + £2,985 = £6,975
TIP The question states that the person will be staying 3 extra nights ontop of the first
24 hours included in the delivery cost. So you must make sure you check the
question.
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prior written permission from AssessmentDay.Q2 For an elected Caesarean and a stay in a Suite for 3 extra nights, what is the price
difference between your first and second delivery?
Answer: £1500 - £2000
STEP 1 You need to work out the price for each separately:
Type of Delivery Suite Extra nights Total
Elective Caesarean = £6,255 + (3 x £1,775) =
First Delivery 3
£6,255 £1,775 £11,580
Elective Caesarean = £5,545 + (3 x £1,499) =
Second Delivery £1,499 3
£5,545 £10,042
STEP 2 First Delivery – Second Delivery = £11,580 - £10,042 = £1,538
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prior written permission from AssessmentDay.STEP 3 Therefore, the price difference is between £1500 and £2000
TIP Make sure you read the question properly as it asks you to compare Elective
Caesarean not Emergency Caesarean.
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prior written permission from AssessmentDay.Q3 What is the % reduction for the first 24 hours (including delivery) if someone is
returning to the Longland Hospital to have a Caesarean due to medical reasons,
compared with their first?
Answer: 13%
STEP 1 You need to compare the prices of first time Caesarean due to medical reasons to
second.
First time Caesarean due to medical reasons = £5,085
Second time = £4,425
STEP 2 £5,085 - £4,425 = £660
STEP 3 £5,085 – (x% of £5,085) = £4,425
Therefore, x% of £5,085 = £660
Therefore, x% = £660/£5,085 = 12.98% = 13% reduction
TIP Think: What percentage of the First delivery price is taken off to get to the Second
Delivery price.
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prior written permission from AssessmentDay.Q4 From the list of options below, what combination will cost the least for the first
delivery at The Longland Hospital?
Normal Delivery, Standard room, No.of extra nights:3
Induction Of Labour, Suite room, No. of extra nights:1
Caesarean Section Due To Medical Reasons, Standard room, No. of extra nights:2
Expecting A Normal Delivery But Emergency Caesarean Section, Deluxe room, No. of extra nights:3
Elective Caesarean, Deluxe room, No. of extra nights:2
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prior written permission from AssessmentDay.STEP 1 Complete the following table to help you calculate the cost for each option.
Cost of Delivery Cost of Room Type # of extra nights Total
£3,990 + (3 x £995)
£3,990.00 £995.00 3
A = £6,975.00
B £4,790.00 £1,375.00 1 £6,165.00
C £5,085.00 £1,175.00 2 £7,435.00
D £5,185.00 £1,280.00 3 £9,025.00
E £6,255.00 £1,399.00 2 £9,053.00
STEP 2 Therefore, the lowest cost combination is B.
TIP Make sure you calculate the costs for first time delivery.
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prior written permission from AssessmentDay.Q5 By what percentage did the CO emission change between 2008 and 2009?
₂
Answer: 5.3%
STEP 1 In 2008 = 17.6
In 2009 = 16.67
STEP 2 (x% x 17.6) + 17.6 = 16.67
(x% of 17.6) = - 0.93
x% = -0.93 / 17.6 = -0.053
= 5.3% reduction
TIP You can see that there is a drop so you know it will be a –ve answer. Don’t fall into
the trap of calculating the %age change from 2009 to 2008, which is +5.6%.
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prior written permission from AssessmentDay.Q6 If the Carbon efficiency drops by 3% per year, in what year will the target be
reached?
Answer: 2017
STEP 1 In 2009 there is 106 Carbon Efficiency
3% of 106 = 3.18
106 – 3.18 = predicted Carbon Efficiency for 2010 = 102.82
STEP 2 Repeat this until you reach the target of 83
102.82 2010
99.7354 2011
96.743338 2012
93.84103786 2013
91.02580672 2014
88.29503252 2015
85.64618155 2016
83.0767961 2017
STEP 3 Rounding the numbers to zero decimal places will show you it will take until 2017 to
reach the target if it drops by 3% each year.
TIP Make sure you don’t stop when you get to 85.6%. You should leave the numbers in
your calculator and just keep multiplying by 0.97.
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prior written permission from AssessmentDay.Q7 What percentage more recycling needs to take place in order to be on track by the
end of 2010?
Answer 28% more
STEP 1 In 2009 recycling = 39%
It needs to be 50% by the end of 2010
STEP 2 (x% of 39) + 39 = 50
x% of 39 = 11
x% = 11/39 = 28.21% more
TIP Step 2 is walking you through how to get to the right answer. It is quicker to just
divide the difference by 39.
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prior written permission from AssessmentDay.Q8 What is the ratio of Carbon Efficiency to CO Emission in 2009?
₂
Answer 6.4:1
STEP 1 Carbon Efficiency 2009 = 106
CO₂ Emission 2009 = 16.67
STEP 2 Carbon Efficiency 2009 : CO₂ Emission
106:16.67
106/16.67 :1
6.359 : 1
STEP 3 6.4:1
TIP Make sure you check which way the ratio should be.
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prior written permission from AssessmentDay.Q9 Which 6 month period saw the greatest increase in Property, plant and equipment
Assets value?
Answer: The first 6 months up to January 2011
STEP 1 First 6 months = July 2010 to Jan 2011
£226,583,000 - £209415000 = £17,168,000
STEP 2 Second 6 months = Jan 2011 to July 2011
£242,647,000 - £226,583,000 = £16,064,000
STEP 3 Therefore, the greatest increase was in the first 6 months of the Financial year.
TIP Make sure you read the footnote to know what their Financial year is.
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prior written permission from AssessmentDay.Q10 What is the overall ratio of Non-current Assets to Current Assets as at 2nd July
2011?
Answer: 5.7:1
STEP 1 Calculate the total Non-Current Assets for July 2011 = £361,000 +
£242,286,000 =
Non-current Assets July 2011 = £242,647,000
Calculate the total Current Assets for July 2011 = £14,258,000 +
STEP 2 £19,522,000 + £8,824,000 =
Current Assets July 2011 = £42,604,000
STEP 3 £242,647,000 : £42,604,000
£242,647,000 / £42,604,000 : 1
5.7 : 1
TIP You don’t need to multiply the values by £1000 before adding them up;
the ratio will be unaffected.
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prior written permission from AssessmentDay.Q11 What percentage of the total assets is made up of Inventories as at 2nd July 2011?
Answer: 5%
STEP 1 Total Assets July 2011 = £285,251,000
Inventories July 2011 = £14,258,000
STEP 2 As a percentage = (Inventories/Total Assets) x 100
£14,258,000 / £285,251,000 = 0.05 = 5%
TIP You will get the same answer even if you don’t multiply by £1000…so to speed up
your answer miss out this step.
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prior written permission from AssessmentDay.Q12 If the tax bill on Property, plant and equipment is 5% of their value up to £230m and
7% thereafter, which 6 month period should you expect to pay the most tax and how
much would this be? (£)
Answer: 6 months to July 2011, £12m
STEP 1 July 2010 had £208.909m worth of Property. So all taxed at 5% which is £10.45m
Jan 2011 had 226.15m worth of Property. So all taxed at 5% which is £11.31m
July 2011 had £242.286m worth of Property. So £11.5m + (242.286 – 230)7% =
£12.36m
Therefore the answer is 6 months to July 2011 and £12m.
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prior written permission from AssessmentDay.Q13 What is the percentage change in the Total Value from 31 December 2010 to
January 2012?
Answer: -8%
STEP 1 Total Value 31 Dec 2010 = £56,268
Total Value 9th Jan 2012 = £51,970
STEP 2 (x% of Total Value 31 Dec 2010) + Total Value 31 Dec 2010 = Total Value 9th Jan 2012
(x% of £56,268) + £56,268 = £51,970
x% of £56,268 = £51,970 - £56,268 = -£4,298
STEP 3 x% = -£4,298 / £56,268 = -0.0764 = -7.64% = -8%
TIP Note that there has been a drop in the Total Value over the year therefore the
answer must be –ve.
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prior written permission from AssessmentDay.Q14 How much was the UK Equity Asset Class worth on 9th Jan 2012?
Answer: £13,964
STEP 1 UK Equity Asset is 26.87% of Investment
26.87% of £51,970 = (26.87/100) x £51,970 = £13,964
TIP Make sure you read the question as it is asking you for the Jan 2012 value.
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prior written permission from AssessmentDay.Q15 Based on the Value of the Investment on 31 Dec 2010, how much was the Property
Assets worth then?
Answer: £1,907
STEP 1 Property Asset is 3.39% of Investment.
Therefore, it was worth 3.39% of the Total Value in Dec 2010 = £56,268
3.39% of £56,268 = (3.39/100 x £56,268) = £1,907.48
TIP Make sure you take a percentage of the correct Total Value.
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prior written permission from AssessmentDay.Q16 By how much has the retirement investment increased in the reported period? (£)
Answer: £700 - £800
STEP 1 Initial Value = £5,032
Current Value = £5,738
STEP 2 £5,738 - £5,032 = £706
Therefore, it has increased by £700 - £800
TIP You are not asked to work out a percentage so this is a very quick subtraction.
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prior written permission from AssessmentDay.Q17 In which Year did Southall Farm have the greatest combined output of Corn Flour
and Whole-wheat Flour?
Answer: 2008
STEP 1 Simply look at the graph and to see which year reached the highest point = 2008
TIP The shape of the graph shows you immediately which is the most productive year
so there is no need for any calculation.
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prior written permission from AssessmentDay.Q18 What proportion of Southhall Farms’ output tonnage in 2007 is accounted for by
Wholemeal flower?
Answer: 80%
STEP 1 1,200 tonnes out of 5800 tonnes was Corn flour.
Therefore 5,800 – 1,200 = 4,600 tonnes was Wholemeal
STEP 2 4600 tonnes divided by total of 5,800 tonnes = 0.793 = 79.3% = 80%
TIP Note that each line on the graph is worth 200 tonnes
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prior written permission from AssessmentDay.Q19 If Wholemeal Flour sold for £50 per tonne what was the value of Southhall Farm's
Wholemeal output for 2010?
Answer: £260,000
STEP 1 400 tonnes of Cornflour in 2010
5,600 tonnes in total
= 5600 – 400 = 5200 tonnes of Wholemeal flour in 2010
STEP 2 5,200 tonnes x £50 = £260,000
TIP Remember to look carefully on the graph to make sure you are looking at the
correct year.
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prior written permission from AssessmentDay.Q20 How many tonnes of Corn Flour were produced in Southall Farm in total during the
years 2005-2008 inclusively?
Answer: 4,800 tonnes
STEP 1 2005 = 400
2006 = 800
2007 = 1200
2008 = 2400
= 4,800 tonnes
TIP Each line on the graph = 200 tonnes
-- End of Test --
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