Numerical Reasoning Questions and Answers


The table above shows the number of people who responded to a survey about their favourite style of music. Use this information to answer the following questions.


76)

What is the ratio of respondents who prefer Rock to those who prefer Jazz in the 21- 30 age group?


Answer: C

EXplanation: The number who prefer Rock is 12 and the number who prefer Jazz is 4. This gives a ratio of 12:4 which can also be expressed as 3:1 (divide both figures by 4).

77)

What percentage of the total sample indicated that Jazz is their favourite style of music?


Answer: E

Explanation: The total number who prefer Jazz is 1+4+11 = 16. The total sample size is 33+33+68 = 134. Therefore (16/134) * 100 = 11.9% of the total sample prefer Jazz.

78)

What percentage of respondents aged 21-30 indicated a favourite style other than Rock music?


Answer: A

Explanation: This question is concerned only with respondents 21 to 30 years old. Since 12 out of 33 respondents in this group prefer Rock, then 21 must prefer other styles. Note that working it out this way minimises the number of calculations you need to make.

Therefore (21/33) * 100 = 63.6% of respondents 21 to 30 years old prefer a style other
than Rock.

79)

What percentage of respondents under 31, indicated that Blues is their favourite style
of music?


Answer: B

Explanation: This question is concerned only with respondents under 31 years old. The number who indicated that Blues was their favourite style was 5 (2+3) out of a total of 66 (33+33). Therefore (5/66) * 100 = 7.5%

The pie charts above show the percentage of students in each faculty at North West University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts faculty. Use this information to answer the following questions.


80)

There are 34 European medical students. What percentage of the faculty does this represent?


Answer: E

Explanation: The total number of students studying medicine is (4560/100) * 5 = 228
If 34 are from Europe then this represents (34/228) * 100 = 14.9%