Quantitative Aptitude Quiz

Directions (1-5): Study the following diagrams carefully and answer the given questions.
Polio cases reported from various states during the given years.
Total Polio Cases in India

1. In which state the difference between polio cases in 2002 and 2003 is 11, and which had zero incidence in 2001?
(1) W.B.
(2) Delhi
(3) M.P.
(4) Haryana
(5) Bihar

2. What is the difference between the average number of polio cases of the five given states in 2002 and that in 2003?
(1) 35
(2) 37
(3) 38
(4) 39
(5) None of these

3. Approximately what per cent of polio cases was reported in Bihar in 2002 with respect to total cases reported in India that year?
(1) 6%
(2) 6.5%
(3) 7%
(4) 7.5%
(5) None of these

4. Polio cases in Haryana in 2003 and Bihar in 2001 together is what per cent of the polio cases in Delhi in 2002?
(1) 120%
(2) 80%
(3) 125%
(4) 75%
(5) None of these

5. Find the ratio between the total no. of cases in the five given states to that in the rest of country in 2001.
(1) 9 : 67
(2) 2 : 29
(3) 29 : 4
(4) 9 : 58
(5) None of these

Directions (6-10): Following line graph shows the ratio of import and export of two companies Aand B over the years 2004-2009. Answer the questions based on this graph.
 
6. If the import of Company A is Rs 48 lakhs in year 2007 then what is its export in that year?
(1) 40 lakhs
(2) 57.6 lakhs
(3) 42 lakhs
(4) 54 lakhs
(5) None of these

7. What is the ratio of number of years in which Company A’s export is less than import and the number of years in which Company B’s import less than export?
(1) 4 : 1
(2) 1 : 3
(3) 5 : 6
(4) 3 : 2
(5) None of these

8. If the export of Company A in 2006 and export of Company B in 2007 is 75 lakhs each, then the import of Company A in 2006 is what percent of the import of Company B in 2007?
(1) 75%
(2) 80%
(3) 100%
(4) 120%
(5) 150%

9. If the import of Company B is 60 lakhs in 2008, then what is the export of Company A in the same year?
(1) 30 lakhs
(2) 45 lakhs
(3) 60 lakhs
(4) 90 lakhs
(5) None of these

10. What is the ratio of the ratio of import to export of Company B in year 2004 and the ratio of export to import of Company A in year 2007?
(1) 2 : 3
(2) 3 : 2
(3) 5 : 6
(4) 4 : 5
(5) 24 : 25

Directions (11-17): Study the following information carefully and answer the given questions.

In a conference total 240 students are there. Out of them 25% konw Latin, 50% know French and 62.5% know English. 10 students know ail three languages. 8(1/3) % of students know Latin and French but does not know English and the same number of students know Latin and English but does not know French.

11. How man students are there who know both English and French but do not know Latin?
(1) 10
(2) 20
(3) 30
(4) 40
(5) 50

12. How many students are there who know only French?
(1) 60
(2) 90
(3) 120
(4) 80
(5) 75

13. How many students are there who know exactly one language?
(1) 240
(2) 220
(3) 200
(4) 180
(5) 160

14. How many students are there who know exactly two languages?
(1) 60
(2) 70
(3) 80
(4) 90
(5) 120

15. How many students know at most two language?
(1) 60
(2) 70
(3) 220
(4) 230
(5) 240

16. In a lottery, there are 5 prizes and 10 blanks in tickets. A ticket is drawn at random. What is the probability of getting a prize?
(1) 1/7
(2) 2/7
(3) 1/3
(4) 2/3
(5) None of these

17. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that one girls and two boys are selected is
(1) 4/25
(2) 25/117
(3) 1/50
(4) 21/46
(5) None of these



ANSWERS

1. 3; MP A slight look is sufficient to answer this question.

2. 2; Reqd difference
=  ((37-3) + (39-28) + (121-13) + (21-10)+(24-3))/5
=  185/5 = 37

3. 4; Total P cases in Bihar (2002) = 121
Total P cases in India (2002) = 1600
Reqd answer = 121/1600 × 100 = 7.5% (approx)

4. 3; Reqd percentage = (3+27)/24 × 100 = 125%

5. 4; Total P cases in India (2001) = 268
Total P cases in the given states (2001) = 36
Hence, reqd. ratio = 36/(268 - 36) = 36/232 = 9 : 58.

6. 1; i/e  = 1.2
e = i/1.2 = 48/1.2  = 40

7. 2; For A, in years 2007 and 2009, import > export
For B, in all six years, import < export
Ratio = 2/6 = 1/3 = 1:3

8. 2; For A, in 2006, i/e = 0.64
Income = 0.64 × 75 = 48
For B, in 2007, i/e  = 0.8
i = 0.8 × 75 = 60
% = 48/60 × 100 = 80%

9. 5; Data is not sufficient.

10. 5; In 2004,  i_B / e_B = 0.8 = 4/5 
In 2007, i_A / e_A  = 1.2 = 6/5 
        e_A / i_{A    = 5/6}  
Ratio between them =  (4/5)/(5/6) = 24:25

Solution for 11 - 17

11. 3; Let both French and Latin students is x in a class
10 + 20 + 10 + 10 + 90 – x + 30 + 120 – x = 240
x = 30

12. 1
13. 5
14. 2
15. 4
16. 3; n(S) = 5 + 10 = 15
n(E) = 5
P(E) = n(E)/n(S)  = 5/15  = 1/3

17. 4; n(S) = 25C3 = (25*24*23)/(3*2*1) = 2300
n(E) = 10C1 = 15C2 = 10 ×  (15*14)/(2*1)
      = 10 × 105 = 1050

P(E) = n(E)/n(S) = 1050/2300 = 21/46