Page 78 - UKCAT 2017

PRACTICE QUESTIONS
DM18 Correct answer: D
The chance of selecting a harmonica at first is 1/2 as there are an even number of harmonicas and drums (30 in total). After 9 gifts have
been selected, there are 21 left in the sack
(10 harmonicas and 11 drums). The chance of selecting a harmonica is 10/21 which is lower than the original chance of 1/2 so the correct answer is ‘No’.
DM19 Correct answer: C
Sarah and Simon collectively had 150 throws whereas Paul had 160 throws – Paul’s estimate is therefore more reliable. The other options are statistically incorrect.
QR1-6 The correct answer is E: 725. Calculation required:
174 ÷ 1.2 = 145 145 ÷ 0.2
Quantitative Reasoning – QR2 Taste
QR2-1 The correct answer is C: 57.2%. Calculation required:
35 + 72 + 20 + 60 = 187
35 + 72 = 107 (107÷187) ×100 = 57.2%
37
QR2-2 5 The co1r2rect answer is B: 41.1%
Calculation required:
100 - = 41.1%
37
5QR2-3 1T2he correct answer is B: 39:27
Quantitative Reasoning – QR1 Buying Lea ets
QR1-1 The correct answer is D: £324. Calculation required: 450 x £0.60 x 1.20
QR1-2 The correct answer is A: £216 Calculation required:
200 × (£0.30 + £0.60) × 1.20
QR1-3 The correct answer is B: £234 Calculation required:
(150 × £.40 + 225 × £0.60) × 1.20
QR1-4 The correct answer is C: 32.7%. Calculation required:
(100 × £0.80) × 1.20 / (300 × £0.55 + 100 × £0.80) × 1.20) ×100
QR1-5 The correct answer is A: 30. Calculation required:
Calcula3t5ion require7d2: 78:54 = 1389:27 27 25,000 + 25,000 + 25,000 +
25,000
12 ÷ 0.2 = 60
60 ÷ 2
= 24 − 18.72
1254.4 100
13974.4
QR3.-52= 0T.6h3e6 correct answer is B: 3.8 km.
78 UKCAT Of cial Guide 2017
63 100 35+72
60 ÷ 10 = 6, 72 + 6 = 78, 60 - 6 = 54
63 55 132 28 47
35 + 72 100
QR2-4 The correct answer is E: 59,980.
Calcula1t0io0n required: 100=80
35 125 72 18 27
55 25,000 + 132 25,000 + 28 25,000 + 47 25,000
= 59,980
4 100 100 13
QR2-5 The correct answer is D: 50%. 125 100 = 80
Calculation required: 74 − x + 60 − x + 8 + x =
100, x = 42, 32 + 1
5.4 2 47
Quantitative Reasoning – QR3 Balloon Flights
13 100
2 3.5 = 0.636
QR3-2111The correct answer is A: 5.3.
5.4 C7alculation required: 24 − (1.8 × 5.2) / 0.5
2 11
Calculation required: 24 −15 = 39, 39 ÷ 5.2 = 7.5, 7.5 × 0.5
1254.4 100 13974.4