## 1 Jul 2016

### SBI PO/IBPS RRB 2016-Aptitude Questions (Data Interpretation)

SBI PO/IBPS RRB 2016-Aptitude Questions (Data Interpretation) Set-4:
Dear Readers, Important Practice Aptitude Questions for Upcoming SBI PO/IBPS RRB Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.

Directions (Q. 1-5): Study the table carefully to answer the questions that follow:
Number of candidates appeared and qualified for an examination in six management institutes over the years
 Management Institutes Years A B C D E F AP QU AP QU AP QU AP QU AP QU AP QU 2007 1576 241 1845 165 1584 140 1500 175 1654 182 1868 132 2008 1687 120 1798 187 1650 182 1490 182 1675 198 1774 187 2009 1875 165 1647 152 1745 208 1384 120 1520 215 1748 496 2010 1720 243 1898 145 1816 190 1748 248 1684 200 1654 183 2011 1815 265 2115 194 1676 200 1580 190 1690 180 1682 177 2012 1923 243 2085 255 1894 264 1762 197 1532 210 1574 223 2013 1920 208 2105 223 1738 205 1787 205 1846 212 1447 219

1). Approximately what percentage of candidates qualified with respect to those appeared from all the six institutes together in 2012?
a)   12%
b)   13%
c)   15%
d)   18%
e)   None of these

2). What is the approximately average number of candidates qualified from Institute D over the given years?
a)   177
b)   193
c)   207
d)   188
e)   169

3). The percentage of candidates qualified with respect to those appeared is the highest for which of the following Institutes in 2010?
a)   D
b)   A
c)   F
d)   E
e)   None of these

4). The percentage of candidates qualified with respect to those appeared from Institute B is the lowest during which of the following years?
a)   2007
b)   2008
c)   2010
d)   2009
e)   None of these

5). The number of candidates qualified from Institute C in 2008 and 2009 together is what percent of the number of candidates appeared from Institute F in 2009 and 2010 together? (Rounded off to two digits after decimal)
a)   10.06%
b)   14.46%
c)   13.56%
d)   15.56%
e)   11.46%

Directions (Q.6 -10): Read the data carefully and answer the questions that follow:
 Ratio Year 2000 2001 2002 2003 2004 2005 Profit Margin 0.27 0.30 0.24 0.30 0.33 0.36 DS Ratio 0.70 0.75 0.90 1.00 1.10 1.20 EXIM Ratio 0.60 0.64 0.72 0.50 0.60 0.68
Profit margin = Average selling price per widget / Average cost price per widget
DS Ratio = Industry demand (by volume) for widget / Industry supply (by volume) for widget
EXIM Ratio = Volume of exports of widget / Volume of imports of widget

Note:
(i) Industry demand = Domestic demand + Export demand
(ii) Industry supply = Domestic supply + imported supply
(iii) The average export price per widget = The average selling price per widget
(iv) The average import price per widget = The average cost price per widget

6). Find the volume of widgets exported in the year 2004 as a percentage of the industry demand for widgets in that year.
a)   24%
b)   65%
c)   7.5%
d)   Can’t be determined
e)   None of these

7). If the total values of widgets imported in the year 2003 was Rs 300 crore, then what was the total value of widgets exported in that year?
a)   195 crore
b)   200 crore
c)   325 crore
d)   Can’t be determined
e)   None of these

8). Find the ratio of domestic demand and domestic supply in the year 2001?
a)   0.75
b)   0.30
c)   0.80
d)   Can’t be determined
e)   None of these

9). If the volume of widgets imported increased by a steady 20% every year then during which of the following periods did the volume of widgets exported increase by the maximum percentage?
a)   2000-2001
b)   2001-2002
c)   2004-2005
d)   2003-2004
e)   None of these

10). Find the volume of the widgets imported in the year 2002 as a percentage of the industry supply for widgets in that year.
a)   83.5%
b)   b) 66   2/3%
c)   c) 37½    %
d)   Can’t be determined
e)   None of these

1)d   2)d   3)a   4)d   5)e   6)b   7)a   8)d   9)d   10)d

Solution:

1). Total candidates appeared from all six institutes in 2012 =  10770
Total candidates qualified from all six institutes in 2012 =  1392
∴required % = 1392/10770× 100 = 13%

2). The number of candidates qualified from D over the given years
1313/7 = 188.14 = 188

3). Percentage of candidates qualified over appeared is the highest in Institute D in 2010
248/1748 × 100 = 14.19%

4). Percentage of candidates qualified w.r.t. appeared from Institute B is the lowest in 2010 =
145/1898 ×100 = 7.63%

5). Number of candidates qualified from Institute C in 2008 and 2009 = 182 + 208 = 390
Number of candidates appeared from Institute F in 2009 and 2010 = 1748 + 1654 = 3402
Required % = 390/3402 ×100 = 11.46%

6). The ratio Exports/Demand cannot be determined independent of the ratio Imports/Supply.
Therefore in 2004, we can find Supply / Demand * Exports / Imports as 0.60 / 1.10
But we cannot find only Exports / Demand.
Hence the question can’t be answered.

7). The value of widgets imported in 2003 = Rs 300 crores.
= Average import price per widget × Volume of Imports.
= Average cost price per widget × Volume of import
Now, value of widgets exported = Average selling price per widget × Volume of exports.
Hence,     Average cost price - Volume of exports       =     1/1.03   -  1/0.5
Average selling price - Volume of imports
Value of exports = 300 × 0.65 = Rs 195 crores

8). Clearly, we can’t determine the ratio of domestic demand and domestic supply.

9). Since the imports increased by a steady percentage every year, to find the year in which the exports increased by the highest percentage we need to consider only EXIM ratios. By the observation of data, it is the highest from 2003 to 2004.