Tuesday, March 5, 2013

Quant Quiz on Data Interpretation


Directions (1-5) : Study the following information carefully to answer the questions given below it:
Percentage of malnourished children in Chile over the years
Year
Tested number (in thousands)
Percentage of the malnourished
Low
Moderate
High
1984
998
12.5
2.9
0.7
1985
1015
12.1
2.7
0.7
1986
1048
12.1
3.0
0.8
1987
1071
11.9
2.5
0.5
1989
1048
10.8
1.8
0.3
1990
1023
10.4
1.6
0.2
1991
1048
10.0
1.4
0.1
1992
1063
8.7
1.1
0.1
1993
1161
7.8
0.9
0.1

1.    What is the difference between the total number of the malnourished children in years 1991 and 1986?
(a) 0                          (b) 46112
(c) 22008                  (d) 41920
(e) None of these
2.    In which year was the percentage of the malnourished children highest?
(a) 1986                    (b) 1984
(c) 1985                    (d) 1987
(e) None of these
3.    Which is true of the following?
(a) Over the years, there was uniform fall in the percentage of high malnourished cases in comparison to the previous year.
(b) Over the years, there was uniform fall in the percentage of moderate malnourished cases in comparison to the previous year.
(c) Over the years, there was uniform fall in the percentage of low malnourished cases in comparison to the previous year.
(d) Over the years, there was rise in the percentage of high malnourished cases in comparison to the previous year.
(e) Over the years, there was no rise in the percentage of low malnourished cases in comparison to the previous year.
4.    The malnourished level of how many children was high in year 1987?
(a) 600                      (b) 12745
(c) 535                      (d) 5355
(e) None of these
5.    How many children were malnourished in 1993?
(a) 10, 02,168                       (b) 1, 02,168
(c) 10,216                             (d) 1, 00, 02168
(e) None of these

Directions (6-10): Study the following information carefully to answer the questions given below it:
Notifications of transmissible infectious diseases over the years (Rates per 1,00,000 inhabitants)
Year
Total (of about 12 diseases
Typhoid
Hepatitis
1995
88
46
27
1996
126
60
44
1997
124
60
47
1998
211
109
86
1999
192
122
56
2000
165
99
57
2001
144
98
39
2002
191
96
86

6.    In which year the increase in rate from the previous year for hepatitis is maximum:
(a) 1998                    (b) 1996
(c) 1997                    (d) 2002
(e) None of these
7.    In which year is the % of typhoid out of the total the highest?
(a) 2001                    (b) 1998
(c) 1999                    (d) 2002
(e) None of these
8.    If the population in 1998 was 2.75 crores how many cases of hepatitis were notified?
(a) 2365                    (b) 236500
(c) 23650                  (d) 3127
(e) None of these
9.    In 1999 what was the rate of transmission of other 11 diseases except for the typhoid?
(a) 14                                    (b) 66
(c) 56                                    (d) 136
(e) None of these
10.  What is the difference in the average rate for the given years between hepatitis and typhoid?
(a) 2525                    (b) 31
(c) 55.25                   (d) 21
(e) None of these


ANSWERS:
1.
(b)
2.
(a)
3.
(e)
4.
(d)
5.
(b)
6.
(d)
7.
(a)
8.
(c)
9.
(e)
10.
(b)


Solutions (1-5)
1.    (2) Here the number of samples in both the years 1986 and 1991 is 1048000
Difference of Percentage:
= (12.1+3+0.8) – (10 + 1.4 + 0.1)
= 15.9 – 11.5 = 4.4
: Required Ans: =4.4% of 1048000
= 4.4x1048000/100 = 4612
2.    (1) It is obvious from table.
3.    (5) The percentage of low malnourished children shows no increase from the previous one.
4.    (4) Req. no. of children = 0.5% of 1071000
=0.5 x 1071000/100 = 5355
5.    (2) Req. no. of children = (7.8 + 0.9 + 0.1) % of 1161000
= 8.8 x 1161000/100 = 1,02,168

Solutions (6-10)
6.    (4) The increase rate was maximum in 2002
7.    (1) We look at the table minutely and calculate the per centage for selective years
i.e. in the year 1999 out of 192, 122 cases were of typhoid, in 2001 out of 144 , 98 cases were of typhoid.
Percentage of typhoid in 1999 = 122 x 100 /192
=63.54%
Percentage of typhoid in 2001 = 98 x 100/144 = 68%
8.    (3) Req. number of cases = 86 x 27500000/100000 = 23650
9.    (5) Req. rate = 192 – 122 = 70
10.  (2) Avg. rate of hepatitis = 27 + 44 + 47 + 86 + 56 + 57 + 39 + 86/8
= 442/8
Avg. rate of typhoid = 46 + 60 + 60 + 109 + 122 + 99 + 98 + 96/8
= 690/8
Req. difference = 690 – 442/8 = 248/8 = 31




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