Page 79 - UKCAT 2017

100 100 = 80 125
QR3-3 The correct answer is D: 15. Calculation3 require7d: 24 ÷ 2.8 = 8.57. 8.57 × 500=42855,428512÷4.8=892seconds
QR3-4 The correct answer is D: 27oC. 63 100
QR4-5 Correct answer is B: 9%.
Calculation required: Height reached = 5 × 60
Total mass = 13974.4 kg
QR4-6 Correct answer is D: 1:1.59.
Calculation required: 25 ÷ 2240 = 0.01116..m3 25,000 3
7 litres = 0.007m , 0.007:0.01116
Quantitative Reasoning – QR5 Motorboats
QR5-1 Answer: B.
Deposit for Type D motorboat on Sundays = 95 + 5 × 95/100 = 95 + 4.75 = £99.75.
Total cost of renting a Type D motorboat for 6 hours on a Sunday = Deposit + Cost per hour × number of hours = £99.75 + £100 × 6 =
£99.75 + £600 = £699.75.
35+72
× 4.8 = 1440m, Temp change = (1440 ÷ 500) × 5.2 = 14.976, 14.976 + 12
35 72 18 55 25,000 + 132 25,000 + 28
27 25,000 + 47
QR3-5 The correct answer is C:
The second balloon took 80% of the time that the rst balloon did. Calculation required:
QR3-6 The correct answer is D:
o3377
16.13 F. Calculation Required: If 0˚C at 0
4 5 12
100
5 12
metres = (0 x 1.8) + 32 = 32˚F at 0 metres,
13
then -2.8˚C at 500 metres = -(2.8 x 1.8) + 32
= 26.96˚F at 500 metres.
100 100
The rate of dec2rease of temperature is 37
35+72 11
2 100
QR5-2 Answer: C.
Total cost of renting a Type C motorboat for x hours = Deposit + Cost per hour × number of hours = £100 + £75x
Or, £325 = £100 + £75x
Or, £75x = £325 - £100 = £225 Or, x = 225/75 = 3.
QR5-3 Answer: B.
Total cost of renting a Type E motorboat for 1 hour = Deposit + Cost per hour × 1
Deposit = £100
240 = 100 + Cost per hour of Type E motorboat
Or, Cost per hour of Type E motorboat = 240 – 100 = £140
Cost per hour of Type C motorboat = £75 Required ratio = £75: £140 = 15:28.
Quantitative Reasoning –
125 100 = 80 Q3R54 Conc7r2ete 12158
27 47
25,000 + 25,000 + 25,000 + 1254.4
63 63
35+72 35+72
5.4
th5erefore1: 232˚F7- 26.96˚F = 5.04˚F per 500
metres.
35 72 18 27 35 72 18 27
Conversion to ˚F per mile: 1600/500 = 3.2.
63
5.04 x 3.2 = 13.65.=103.˚6F36per mile.
100
25,000 + 25,000 + 25,000 + 25,000 25,000 + 25,000 + 25,000 + 25,000
55 132 28 47 55 132 28 47
100 100 = 80
25,000 Calculation required:4 = 30.8%.
55 132 100 28 13974.4
Calculation required: 2 3.5 = 0.636 11
2×2240+2×1600+3×1680=12720, 4480 ÷ 25 × 7 = 1254.4 litres
5.4 2 7
100 100 = 80 125
QR4-1 Correct answer is E: Rough.
100 100=80 1
125 3. QR4-2 Correct answer is B: 1.54m
Calculation required: 9 × 4 × 0.15 = 5.4,
4 100 13
QR4-3 Correct answer is A: 1:3.
Calculation required: 2 2
2240:1680 × 4 = 22141101:6720 5.4 2
7
QR4-4 Correct answer is C: 399.
Calculation required: 1254.4 1254.4
, 0.636 × 2240 = 1425, 1425 ÷ 25 × 7
1254.4 100 13974.4
4 100 100
13 3
5.42 2 5.4 77
3.5 = 0.636 3.5 = 0.636
13974.4100 13974.4
100
1254.4 100 13974.4
2 3.5 = 0.636 11
UKCAT Of cial Guide 2017 79
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PRA1C0T0ICE QUESTIONS 13