Data Interpretation Questions - 1

Directions: (Q1 to Q5) Study the given table carefully and answer the questions given below it.

The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.

 Year 2011 2012 2013 2014 2015 2016 College App Qual App Qual App Qual App Qual App Qual App Qual A 1835 1250 2010 1407 2200 1342 2480 1388 2240 1420 2856 1835 B 2256 1435 2318 1458 2200 1836 2440 1886 2636 1985 2735 2150 C 2636 1480 2710 1521 2820 1632 2920 2012 3200 2250 3280 2250 D 1836 1425 1950 1230 2100 1280 2180 1320 2200 1380 2380 1420 E 1638 1120 1680 1230 1730 1320 1790 1350 1850 1420 1900 1520 F 1936 1235 1930 1280 1936 1350 1900 1428 1836 1482 1926 1850

In which of the following years, was the percentage of the number of candidates which appeared from college B to the candidates which passed, maximum? (Rounded off to nearest integer) ?
• 2011
• 2013
• 2015
• 2016
• 2014
Explanation

Pass % = $\displaystyle \frac{\text{Qualified}}{\text{Appeared}} \times 100$

Candidates appeared and pass % of college B:

2011 => $\displaystyle \frac{1435}{2256} \times 100$ = 63.6%.

2012 => $\displaystyle \frac{1458}{2318} \times 100$ = 63%.

2013 => $\bf \displaystyle \frac{1836}{2200} \times 100$ = 83.45%.

2014 => $\displaystyle \frac{1886}{2440} \times 100$ = 77.3%.

2015 => $\displaystyle \frac{1985}{2636} \times 100$ = 75.30%.

2016 => $\displaystyle \frac{2150}{2735} \times 100$ = 78.6%.

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The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.

 Year 2011 2012 2013 2014 2015 2016 College App Qual App Qual App Qual App Qual App Qual App Qual A 1835 1250 2010 1407 2200 1342 2480 1388 2240 1420 2856 1835 B 2256 1435 2318 1458 2200 1836 2440 1886 2636 1985 2735 2150 C 2636 1480 2710 1521 2820 1632 2920 2012 3200 2250 3280 2250 D 1836 1425 1950 1230 2100 1280 2180 1320 2200 1380 2380 1420 E 1638 1120 1680 1230 1730 1320 1790 1350 1850 1420 1900 1520 F 1936 1235 1930 1280 1936 1350 1900 1428 1836 1482 1926 1850

What is the difference between total candidates appeared from the colleges A and B throughout the year ?
• 900
• 948
• 964
• 968
• 960
Explanation

Candidates appeared from college A = 1835 + 2010 + 2200 + 2480 + 2240 + 2856 = 13621.

Candidates appeared from college B = 2256 + 2318 + 2200 + 2440 + 2636 + 2735 = 14585.

Difference = 14585 â€“ 13621 = 964.

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The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.

 Year 2011 2012 2013 2014 2015 2016 College App Qual App Qual App Qual App Qual App Qual App Qual A 1835 1250 2010 1407 2200 1342 2480 1388 2240 1420 2856 1835 B 2256 1435 2318 1458 2200 1836 2440 1886 2636 1985 2735 2150 C 2636 1480 2710 1521 2820 1632 2920 2012 3200 2250 3280 2250 D 1836 1425 1950 1230 2100 1280 2180 1320 2200 1380 2380 1420 E 1638 1120 1680 1230 1730 1320 1790 1350 1850 1420 1900 1520 F 1936 1235 1930 1280 1936 1350 1900 1428 1836 1482 1926 1850

What is the percentage decrease/increase in the number of the appeared to qualified candidates in college A in 2012 to 2013 ?
• Decreased by 10%
• Increased by 10%
• Increased by 8%
• Decreased by 9%
• Decreased by 8%
Explanation

Pass % = $\displaystyle \frac{\text{Qualified}}{\text{Appeared}} \times 100$

2012 => $\displaystyle \frac{1407}{2010} \times 100$ = 70%.

2013 => $\displaystyle \frac{1342}{2200} \times 100$ = 61%.

Difference = 70% - 61% = decreased by 9%.

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The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.

 Year 2011 2012 2013 2014 2015 2016 College App Qual App Qual App Qual App Qual App Qual App Qual A 1835 1250 2010 1407 2200 1342 2480 1388 2240 1420 2856 1835 B 2256 1435 2318 1458 2200 1836 2440 1886 2636 1985 2735 2150 C 2636 1480 2710 1521 2820 1632 2920 2012 3200 2250 3280 2250 D 1836 1425 1950 1230 2100 1280 2180 1320 2200 1380 2380 1420 E 1638 1120 1680 1230 1730 1320 1790 1350 1850 1420 1900 1520 F 1936 1235 1930 1280 1936 1350 1900 1428 1836 1482 1926 1850

What is the difference between the total qualified candidates in six colleges in years 2015 and 2016 ?
• 1078
• 1088
• 1098
• 1108
• 1118
Explanation
 College Â Year 2015 Year 2016 Â A Â 1420 1835 Â B Â 1985 2150 Â C Â 2250 2250 Â D Â 1380 1420 Â E Â 1420 1520 Â F Â 1482 1850 Â Total Â 9937 11025

Difference = 11025 â€“ 9937 = 1088

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The given table represents the number of candidates appeared and qualified during 2011 to 2016 from 6 colleges.

 Year 2011 2012 2013 2014 2015 2016 College App Qual App Qual App Qual App Qual App Qual App Qual A 1835 1250 2010 1407 2200 1342 2480 1388 2240 1420 2856 1835 B 2256 1435 2318 1458 2200 1836 2440 1886 2636 1985 2735 2150 C 2636 1480 2710 1521 2820 1632 2920 2012 3200 2250 3280 2250 D 1836 1425 1950 1230 2100 1280 2180 1320 2200 1380 2380 1420 E 1638 1120 1680 1230 1730 1320 1790 1350 1850 1420 1900 1520 F 1936 1235 1930 1280 1936 1350 1900 1428 1836 1482 1926 1850

What is the percentage of the total qualified candidates to the total number of appeared candidates among all the six colleges in 2014? (Rounded off to the nearest figure) ?
• 68%
• 66%
• 60%
• 63%
• 70%
Explanation

Candidates Appeared and Qualified in Year 2014:

 Appeared Qualified 2480 1388 2440 1856 2920 2012 2180 1320 1790 1350 1900 1428 13710 9384

Pass % = $\displaystyle \frac{9384}{13710} \times 100$ = 68.44%.

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Directions (Q6 to Q10): Study the table and answer the questions given below it.

Number of employees working in various departments of a Factory.

 Year Production Sales Purchase Acct and Admin Research and Development Total 2011 200 40 70 85 105 500 2012 250 65 65 102 105 587 2013 375 72 78 110 115 750 2014 390 65 79 119 120 773 2015 450 70 85 124 119 848 2016 540 69 102 136 124 971 Total 2205 381 479 676 688 4429

In which year, the number of employees in productions department reached exactly 50% of the total number of employees working in all the departments in that year ?
• 2014
• 2015
• 2016
• 2013
• 2012
Explanation

2011 => Total employees = 430, in Production department = 200.

$\displaystyle \frac{200}{500} \times 100$ = 40%.

2012 => Total employees = 587, in Production department = 250.

$\displaystyle \frac{250}{587} \times 100$ = 42.6%.

2013 => Total employees = 750, in Production department = 375.

$\displaystyle \frac{375}{750} \times 100$ = 50%.

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Number of employees working in various departments of a Factory.

 Year Production Sales Purchase Acct and Admin Research and Development Total 2011 200 40 70 85 105 500 2012 250 65 65 102 105 587 2013 375 72 78 110 115 750 2014 390 65 79 119 120 773 2015 450 70 85 124 119 848 2016 540 69 102 136 124 971 Total 2205 381 479 676 688 4429

What is the difference between the total number of employees in the department Accounts & Administration and Research and Development in the given years ?
• 8
• 10
• 12
• 14
• 42
Explanation

Total employees in Accounts & Administration = 676.

Total employees in Research & Development = 688.

Difference = 688 â€“ 676 = 12.

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Number of employees working in various departments of a Factory.

 Year Production Sales Purchase Acct and Admin Research and Development Total 2011 200 40 70 85 105 500 2012 250 65 65 102 105 587 2013 375 72 78 110 115 750 2014 390 65 79 119 120 773 2015 450 70 85 124 119 848 2016 540 69 102 136 124 971 Total 2205 381 479 676 688 4429

In which year, were the number of employees in Sales department more than 10% of the total number of the employees ?
• 2011
• 2012
• 2013
• 2014
• 2015
Explanation

2012 => Sales Department = 65, Total employees in all the departments = 587.

$\displaystyle \frac{65}{587} \times 100$ = 11%.

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Number of employees working in various departments of a Factory.

 Year Production Sales Purchase Acct and Admin Research and Development Total 2011 200 40 70 85 105 500 2012 250 65 65 102 105 587 2013 375 72 78 110 115 750 2014 390 65 79 119 120 773 2015 450 70 85 124 119 848 2016 540 69 102 136 124 971 Total 2205 381 479 676 688 4429

In the department Accounts & Administration, in which of the following year were the percentage increase in the number of employees from its preceding year the highest ?
• 2014
• 2015
• 2016
• 2011
• 2012
Explanation

Employees in Accounts & Administration in 2011 = 85, in 2012 = 102.

Increase 102 â€“ 85 = 17.

Percentage increase = $\displaystyle \frac{17}{85} \times 100$ = 20%.

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Number of employees working in various departments of a Factory.

 Year Production Sales Purchase Acct and Admin Research and Development Total 2011 200 40 70 85 105 500 2012 250 65 65 102 105 587 2013 375 72 78 110 115 750 2014 390 65 79 119 120 773 2015 450 70 85 124 119 848 2016 540 69 102 136 124 971 Total 2205 381 479 676 688 4429

What is the ratio of total number of employees in production to sales ?
• 122 : 131
• 131 : 122
• 127 : 89
• 205 : 127
• 131 : 89
Explanation

Production Department = 2205.

Sales Department = 381.

Production : Sales = 2205 : 381 = 205 : 127.

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