Quant Quiz

Directions (Q1-Q5): Following pie–charts show the distribution of items of six different types produced by a company in two years 2008 and 2009. Total number of items produced by the company in the year 2008 and 2009 are 48600 and 62500 respectively.

(▲Pie-chart)

Q1.What is the total number of items of type C produced in the year 2008 and 2009 together?
1) 12482 
2) 13262 
3) 14786
4) 15200 
5) None of these

Q2. The number of type B items produced in 2008 is what percentage of the number of type B items produced in the year 2009? (approximate value)
1) 78% 
2) 84% 
3) 87% 
4) 90% 
5) 93%

Q3.What is the ratio of the number of type D items produced in 2008 to the number of type F items produced in 2009?
1) 13 : 17 
2) 83: 116 
3) 81 : 125
4) 103 : 147 
5) None of these

Q4.What is the total number of type A, B and C items produced by the company in the year 2008 and 2009 together?
1) 48542 
2) 50897 
3) 51164
4) 52324 
5) 54160

Q5. The number of type E items produced in the year 2009 is what per cent more than the number of type C items produced in 2009?
1) 84% 
2) 72% 
3) 75%
4) 60% 
5) None of these

Directions (Q6-10): Following Venn–diagram shows the result of a survey conducted on people about their interest in different sports. Answer the following questions based on this diagram.

(▲Venn Diagram)

Q6. How many people are there who like exactly three types of sports out of the given four?
1) 98 
2) 104 
3) 108
4) 112 
5) 115

Q7. The number of people who like exactly two types of sports is what percentage of the total number of people surveyed?
1) 40 % 
2) 32 % 
3) 30 %
4) 26 % 
5) 24 %

Q8.What is the difference between the number of people who like either only Cricket or only Soccer and the number of people who like either only Hockey or only Tennis?
1) 1 
2) 3 
3) 5
4) 7 
5) 9

Q9.What is the ratio of the number of people who like Cricket to the number of people who like only Tennis?
1) 40 : 13 
2) 59 : 16 
3) 63 : 23
4) 64 : 25 
5) 70 : 29

Q10. The number of people who like exactly one type of sports is what percentage of the total number of people surveyed?
1) 42.5 % 
2) 45.4 % 
3) 45.8 % 
4) 51.1 % 
5) 54 %

Answers

Q1-Q5:

Answer1: Option 2
Sol: 61.2/360 * 48600 + 28.8/360 * 62500 = 13262

Answer2: Option 5
Sol: B (2008) = 64.8/360 x 48600 = 8748
B (2009) = 54/360 x 62500 = 9375
% = 8748/9375 x 100 = 93.31% ≈ 93%

Answer3: Option 3

Answer4: Option 2
Sol: Sum = 8262 + 8748 + 8262 + 11250 +9375 + 5000 = 50897

Answer5: Option 5
Sol: E(2009) = 64.8/360 x 62500 = 11250
C(2009) = 28.8/360 x 62500 = 5000
Percentage = 11250-5000/5000 * 100 = 625000/5000 = 125%

Q6-Q10:

Answer6: Option2
Sol: 15 + 35 + 38 + 16 = 104

Answer7: Option4
Sol: People who like exactly two types of sports = 30 + 20 + 45 + 35 = 130
Total number of people surveyed = 500
% = 130×100/500 = 26%

Answer8: Option1
Sol: Difference = (71+49) – (55+64) = 1

Answer9: Option2
Sol: Req Ratio = 236/64 = 59/64 i.e. 59:16

Answer10: Option3
Sol: People who like exactly one sports = 71 + 55 + 49 + 64 = 239
Total number of people = 500
% = 239×100/500 = 47.8%