[Download PDF] MAT 2013 Question Paper Paper with Solutions

Instructions

Study the Table to answer these questions.
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)

MAT 2013 - Question 101

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

Video Solution

Solution

2006 = 130/1008 = 12.9

2007 = 160/1103 = 14.5

2008 = 190/1143 = 16.62

2009 = 220/1198 = 18.36

2010 = 240/1208 = 19.86

2011 = 238/1203 = 19.78

So, 2010 is the year for which zone V is maximum.

MAT 2013 - Question 102

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

Video Solution

Solution

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 = 3192-2930/3192

= 262/3192

= 8.2%

MAT 2013 - Question 103

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?

Video Solution

Solution

2009:

Appeared

Boys = 7/10 * 2468 = 1728

Girls = 3/10*2468 = 740

Qualified

Boys = 3/5 * 500 = 300

Girls = 2/5*500 = 200

Ratio required = 300/740

= 0.4

2/5 approx

MAT 2013 - Question 104

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

Video Solution

Solution

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 their is continuous increase.

MAT 2013 - Question 105

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?

Video Solution

Solution

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 = 6507-2346/6507

= 63.55%

Instructions

Study The following graphs to answer these questions.
The following piechart gives the percentage of adults from various industries working in night shifts. The bar graph shows the percentage of famales from these industries working in night shifts. Total number of people = 40250

Centre

MAT 2013 - Question 106

What is the approximate average number of females working in night shifts in all the industries?

Video Solution

Solution

Total number of female employee = [12% of 20% of 40250 + 18% of 20% of 40250 + 32% of 40% of 40250 + 8% of 60% of 40250 +14% of 40% of 40250 +16% of 10% of 40250]/6

Total number of female employee = 13363

Required average number of females = 13363/6

= 2227.16

MAT 2013 - Question 107

The number of females working in night shifts the gaming industry is what per cent of the total number of people working in the night shifts from all the industries taken together?

Video Solution

Solution

Female workers in Gaming = 18% of 20% of 40250 = 1449

% required = [Female workers in Gaming / Total no of people working in night shifts from all industries]*100

= [1449/40250] *10

= 3.6%

MAT 2013 - Question 108

What is the difference in percentage of males and females working in night shifts in these industries?

Video Solution

Solution

Total number of female workers = 13363

Total number of male workers = 40250 - 13363 = 26887

Difference between male & female workers = 27853 - 13363 = 13524

% required = {Difference between male & female workers/Total workers]*100

% required = 13524/40250 * 100

= 33.6%

MAT 2013 - Question 109

If the number of females working in night shifts in banking were 3206, while the number of females in rest of the industries remained unchanged, the new percentage of females working in night shifts will be__. (assume that the total number of people working in night shifts remains constant)

Video Solution

Solution

Female workers in Marketing = 14% of 40% of 40250 = 2254

According to question, Female workers in Marketing = 3206

Difference = 952

After Increment, no of females = Total number of female workers + 952 = 13663

Total number of female workers = 13663-952

= 12711

% required = 12711/40250 * 100

= 31.58%

MAT 2013 - Question 110

Percentage of males working in night shifts is lowest in which of the following industries?

Video Solution

Solution

Sales = 8% of 40% of 40250 = 1288

IT = 12% of 80% of 40250 = 3864

Marketing = 14% of 60% of 40250 = 3381

Gaming = 18% of 80% of 40250 = 5796

So, Sales is the industry in which percentage of males working in night shifts is lowest.

CAT Content

MAT 2013 Question Paper

MAT 2013 Question Paper

MAT 2013 - Question 101

MAT 2013 - Question 102

MAT 2013 - Question 103

MAT 2013 - Question 104

MAT 2013 - Question 105

MAT 2013 - Question 106

MAT 2013 - Question 107

MAT 2013 - Question 108

MAT 2013 - Question 109

MAT 2013 - Question 110

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