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SPEEDY Railway Book (English)

Data Interpretation for SBI PO Prelims

SBI PO, NIACL Assistants, IBPS PO, quantitative aptitude

Data Interpretation Practice Test

Directions(1-5): Study the following table carefully and answer the questions given below it.
Number of candidates from different locations appeared and passed in a competitive examination over the years

Year
Rural
Semi-urban
State-capitals
Metropolises
App.
Passed
App.
Passed
App.
Passed
App.
Passed
1990
1652
208
7894
2513
5054
1468
9538
3214
1991
1839
317
8562
2933
7164
3284
10158
4018
1992
2153
932
8139
2468
8258
3159
9695
3038
1993
5032
1798
9432
3528
8529
3628
11247
5158
1994
4915
1658
9784
4015
9015
4311
12518
6328
1995
5628
2392
9969
4263
1725
4526
13624
6419

1.For the candidates from which of the following locations was there continuous increase both in appeared and passed ?
a)Metropolises
b)State-capital & Rural
c)Semi-urban
d)State-capital
e)None of these

2.In which of the following years was the percentage qualified to appeared candidates from Semi-urban area the least ?
a)1990
b)1991
c)1992
d)1993
e)1994

3.Approximately what was the percent drop in the number of Semi-urban candidates appeared from 1991 to 1992 ?
a)14%
b)5%
c)9%
d)20%
e)None of these

4.In 1993 the percentage of candidates qualified to appeared was approximately 35 from which location ?
a)Rural and Semi-urban
b)Semi-urban and Metropolises
c)Rural and Metropolises
d)Rural
e)None of these

5.The total number of candidates qualified from Rural in 1993 and Semi-urban in 1990 was exactly equal to the total number of candidates qualified from State-capitals in which of the following years ? 
a)1994
b)1991
c)1990
d)1993
e)1991

Directions(6-10): Study the following table carefully and answer the given questions.
Number of calculators manufactured by five different companies in the given years (in thousand) and percentage of defective pieces.

Company>>
Year↓
S
T
U
V
W
N
M
N
M
N
M
N
M
N
M
2004
18
1.2
16
0.8
12
0.6
14
0.9
17
1.0
2005
22
1.1
14
0.9
17
1.2
16
0.8
21
1.3
2006
20
1.3
24
1.4
18
0.9
23
1.3
25
1.2
2007
26
1.2
23
1.1
27
1.4
22
0.8
20
0.6
2008
22
0.7
25
1.0
28
1.6
27
1.4
24
1.1
2009
26
1.3
23
0.8
29
1.5
24
1.2
28
1.6

Note:
N = Total number of calculators manufactured
M = Percentage of defective pieces

6.What is the difference between the number of non-defective calculators manufactured by companies S and T together and companies V and W together in the year 2004 ?
a)3000
b)2952
c)2575
d)2650
e)3200

7.How many non-defective calculators approximately were manufactured by company T taking all the years together ? (in thousands)
a)124
b)125
c)126
d)118
e)120

8.How many defective calculators were manufactured by company U in all the given years ? (in thousands)
a)2.229
b)1.699
c)3.325
d)1.757
e)2.475

9.How many average number of calculators (in thousands) were manufactured by company V, in the given years ?
a)20
b)21
c)22
d)23
e)24

10.The respective ratio between the total number of calculators manufactured by companies V and W in all the given years is :
a)12:13
b)11:15
c)14:15
d)12:17
e)13:17

Answer key
1.e)
2.c)
3.b)
4.d)
5.a)
6.b)
7.a)
8.b)
9.b)
10.c)

Solution
1.It is clear from visual inspection that there is no continuous increase both in appeared and passed in any location.

2.Percentage of qualified to appeared candidates from Semi-urban area in 1990
= (2513/7894) × 100 = 31.83%
Percentage of qualified to appeared candidates from Semi-urban area in 1991
= (2933/8562) × 100 = 34.25%
Percentage of qualified to appeared candidates from Semi-urban area in 1992
= (2468/8139) × 100 = 30.32%
Percentage of qualified to appeared candidates from Semi-urban area in 1993
= (3528/9432) × 100 = 37.40%
Percentage of qualified to appeared candidates from Semi-urban area in 1994
= (4015/9784) × 100 = 41.03%
Percentage of qualified to appeared candidates from Semi-urban area in 1995
= (4263/9969) × 100 = 42.76%

3.Required% = [(8562 - 8139)/8562] × 100 = 5% (approx)

4.In 1993 the percentage of candidates qualified to appeared in Rural area
= (1798/5032) × 100 = 35.73%
In 1993 the percentage of candidates qualified to appeared in Semi-urban areas
= (3528/9432) × 100 = 37.40%
In 1993 the percentage of candidates qualified to appeared in State capitals areas
= (3628/8529) × 100 = 42.53%
In 1993 the percentage of candidates qualified to appeared in Metropolises
= (5158/11247) × 100 = 45.86%
Therefore, the most appropriate answer is Rural area.

5.The number of candidates qualified from Rural area in 1993 = 1798
The number of candidates qualified from Semi-urban area in 1990 = 2513
Total sum = (1798 + 2513) = 4311
The number of candidates qualified from State-capitals in 1994 = 4311

6.Number of non-defective calculators manufactured in 2004:
Company S = (18000 × 98.8)/100 = 17784
Company T = (16000 × 99.2)/100 = 15872
Company V = (14000 × 99.1)/100 = 13874
Company W = (17000 × 99)/100 = 16830
Difference
= 17784 + 15872 - 13874 - 16830
= 2952

7.Number of non-defective calculators manufactured by company T:
Year 2004 = 15.872 thousand
Year 2005 = (14 × 99.1)/100 = 13.874 thousand
Year 2006 = (24 × 98.6)/100 = 23.664 thousand
Year 2007 = (23 × 98.9)/100 = 22.747 thousand
Year 2008 = (25 × 99)/100 = 24.75 thousand
Year 2009 = (23 × 99.2)/100 = 22.816 thousand
Total calculators
= (15.872 + 13.874 + 23.664 + 22.747 + 24.75 + 22.816)
= 124 thousand (approx)

8.Number of defective calculators manufactured by company U:
Year 2004 = (12 × 0.6)/100 = 0.072 thousand
Year 2005 = (17 × 1.2)/100 = 0.204 thousand
Year 2006 = (18 × 0.9)/100 = 0.162 thousand
Year 2007 = (27 × 1.4)/100 = 0.378 thousand
Year 2008 = (28 × 1.6)/100 = 0.448 thousand
Year 2009 = (29 × 1.5)/100 = 0.435 thousand
Total
= (0.072 + 0.204 + 0.162 + 0.378 + 0.448 + 0.435)
= 1.699 thousand

9.Required answer
= 1/6 (14 + 16 + 23 + 22 + 27 + 24)
= 21 thousand

10.Total number of calculators manufactured:
Company V = 126 thousand
Company W = (17 + 21 + 25 + 20 + 24 + 28) = 135 thousand
Required ratio = 126 : 135 = 14 : 15
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