Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

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.

Options:

111 : 12

111 : 24

101 : 24

101 : 12

Correct Answer:

111 : 24

Explanation:

Total number of students scored less than 50% = 270 + 120 + 300 + 220 + 200 = 1110

Students with more than 50% marks = \(\frac{55}{100}\) × 600 + \(\frac{2}{5}\) × 400 + \(\frac{1}{5}\) × 375 + \(\frac{1}{10}\) × 350 + \(\frac{1}{4}\) × 300

 = 330 + 160 + 75 + 35 + 75 = 675

Total number of students having exactly 50% marks = ( 600 + 400 + 375 + 350 + 300 ) - 1110  - 675

= 2025 - 1110  - 645 = 240

Required ratio ,   1110  :  240

111 : 24