Page 55 - UKCAT 2017
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Quantitative Reasoning
QR2 Taste
A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.
Women
Men
Girls
Boys
Can taste PTC
35
72
18
27
Cannot taste PTC
20
60
10
20
QR2-1 Of the adults in the group, what percentage, correct to 1 decimal
QR2-4
A population of 100,000 people
is equally divided between men, women, boys and girls. Use the data in the table to estimate the number, correct to 4 signi cant  gures, of people in the population who can taste PTC.
place can taste PTC?
A 40.0%
B 40.8%
C 57.2%
D 58.0%
E 59.1%
A  B C D E
40,020 41,980 58,020 58,610 59,980
QR2-2 3/5 of the women who can taste PTC and 7/12 of the men who can taste PTC do not drink coffee. What percentage, correct to 1 decimal place, of the adults who can taste PTC do drink coffee?
A 33.7%
B 41.1%
C 43.9%
D 58.9%
E 66.3%
QR2-3 If 10% of the men who said they cannot taste PTC could in fact taste PTC at higher concentrations, what would be the ratio of men who can taste PTC to men who cannot taste PTC, at higher concentrations?
 A 39:25  B 39:27  C 39:30  D 41:25  E 41:30
QR2-5
In a population, 8% can taste neither PTC nor sodium benzoate, 74% can taste PTC and 60% can taste sodium benzoate. What percentage can taste exactly one of these two chemicals?
A 18%
 B 32%
C 42%
D 50%
E 58%
UKCAT Of cial Guide 2017 55
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