SarkariPYQ

SSC CGL 2019 PYQ — Question 73

SSC CGL - 12th June 2019 - Shift 3 • Quantitative Aptitude • Q73

Back to paper

Direction:This table shows the percentage of students passing out of five different colleges over three years. It is given that from each college, 200 students appeared every year.

Years College
A B C D E
2015 68 65 80 92 72
2016 72 68 88 95 75
2017 74 77 92 98 73

 

In which college the average percentage of passing students over the given three years is the least?

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e.B

Concept

Understanding

Application

Average

Extract the data from the table

Total passed students from college A = 200 × 0.68 + 200 × 0.72 + 200 × 0.74 = 136 + 144 + 148 = 428

Average passed students from college A = 428/600 × 100 = 71.33%

Total passed students from college B = 200 × 0.65 + 200 × 0.68 + 200 × 0.77 = 130 + 136 + 154 = 420

Average passed students from college B = 420/600 × 100 = 70%

Total passed students from college C = 200 × 0.8 + 200 × 0.88 + 200 × 0.92 = 160 + 176 + 184 = 520

Average passed students from college C = 520/600 × 100 = 86.66%

Total passed students from college D = 200 × 0.92 + 200 × 0.95 + 200 × 0.98 = 184 + 190 + 196 = 570

Average passed students from college D = 570/600 × 100 = 95%

Total passed students from college E = 200 × 0.72 + 200 × 0.75 + 200 × 0.73 = 144 + 150 + 146 = 440

Average passed students from college E = 440/600 × 100 = 73.33%

Hence, Average passing percentage of college B is least.