Comprehension

The following table gives the number of candidates Appeared (App.) and Qualifies (Quali.) in ABC entrance examination from different zones (I - IV in different years from 2006 - 2011)
                            
Zone

I

II

III

IV

V

VI

YearApp.Quali.App.Quali.App.Quali.App.Quali.App.Quali.App.Quali.
2006298957524905302540430253444010081302698498
2007243859028995202384470265345011031602798610
2008753460828405322053502223448011431902848580
2009652465036005602143510246850011982203008490
2010874663236085442340544254956012082402948560
2011842964854326122230588263058012032383048534

Question: 1

The qualifying percentage from zone V is maximum in which of the following years?

Updated On: Sep 23, 2024
  • 2010
  • 2011
  • 2009
  • 2006
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The Correct Option is A

Solution and Explanation

\(2006 = \frac{130}{1008} = 12.9\)

\(2007 = \frac{160}{1103} = 14.5\)

\(2008 = \frac{190}{1143} = 16.62\)

\(2009 = \frac{220}{1198} = 18.36\)

\(2010 = \frac{240}{1208} = 19.86\)

\(2011 = \frac{238}{1203} = 19.78\)
So, 2010 is the year for which zone V is maximum.
So the correct option is (A)

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Question: 2

The total number of qualifying candidates in 2009 is what per cent less than that in 2011?

Updated On: Sep 23, 2024
  • 8.21%
  • 9.89%
  • 6.89%
  • 8.43%
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The Correct Option is A

Solution and Explanation

Total number of qualifying candidates in 2009 =
\(650 + 560 + 510 + 500 + 220 + 490\)
\(= 2930\)
total number of qualifying candidates in 2011 =
\(648 + 612 + 588 + 580+238+534\)
\(=3192\)
\(\%\) required = \(3192 - \frac{2930}{3192}\)
\(\frac{262}{3192}\)
= 8.2\(\%\)
So the correct option is (A)
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Question: 3

Ratio between boys and girls for qualified and for appeared from zone IV in 2009 are 7 : 3 and 3 : 2 respectively. What is the approximate ratio between the boys qualified and girls appeared?

Updated On: Sep 23, 2024
  • 2 : 13
  • 2 : 5
  • 1 : 28
  • 1 : 50
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The Correct Option is B

Solution and Explanation

2009:
Appeared
Boys = \(\frac{7}{10} \times 2468 = 1728\)

Girls = \(\frac{3}{10} \times 2468 = 740\)

Qualified
Boys =\(\frac{3}{5} \times 500 = 300\)

Girls = \(\frac{2}{5} \times 500 = 200\)
Ratio required = \(\frac{300}{740}\)
\(= 0.4\)
\(\frac{2}{5}\) approx
So the correct option is (B)

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Question: 4

In which of the following zones is there a continuous increase in the number of students appeared as well as qualified over the years?

Updated On: Sep 23, 2024
  • Zone II
  • Zone III
  • Zone IV
  • None of these
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The Correct Option is D

Solution and Explanation

Zone 1: not continuous increase
Zone 2: not continuous increase
Zone 3: not continuous increase
Zone 4: not continuous increase
Zone 5: not continuous increase
Zone 6: not continuous increase
Not in any zones there is continuous increase.
So the correct option is (D)
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Question: 5

The number of students appeared from zone V in 2008 and 2011 together is approximately what per cent less than that from zone II in 2007 and 2010 together?

Updated On: Sep 23, 2024
  • 63.5%
  • 50.2%
  • 55.6%
  • 60%
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The Correct Option is A

Solution and Explanation

Number of students appeared from zone V in 2008 and 2011 together =
1143 + 1203
= 2346
Number of students appeared from zone II in 2007 and 2010 together =
2899 + 3608
= 6507
\(\%\) required = \(6507 - \frac{2346}{6507}\)
= 63.55\(\%\)
So the correct option is (A)
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