SSC CPO 2022 PYQ — Question 110

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q110

The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is:

School Number of students scoring marks less than 50% Percentage of students scoring marks more than 50% Number of students appeared
A 270 55 600
B 120 40 400
C 300 20 375
D 220 10 350
E 200 25 300

Study the above table and answer the question.

Show answer & explanation

Correct answer: B

Explanation

 The correct answer is option 2 i.e.  111: 24

The total number of students scoring marks less than 50% = 270 +120 + 300 + 220 + 200 = 1110

The total number of students scoring marks more than 50% = 55% *600 + 40% * 400 + 20% * 375 + 10% * 350 + 25% * 300 

= 330 + 160 + 75 + 35 + 75 = 675

Total students = 600 + 400 + 375 + 350 + 300 = 2025

The total number of students scoring marks exactly 50% = 2025 - 1110 - 675 = 240

Hence, the required ratio = 1110 / 240 = 111/24 = 111: 24