Directions—(1–5) Study the following table carefully to answer these questions:
Percentage of Marks obtained by six students in six subjects
Q1. What are the average marks obtained by all the students in Maths ?
(1) 75
(2) 112.50
(3) 108.50
(4) 78
(5) None of these
Q2. What are the average marks obtained by all students in Chemistry?
(1) 54.25
(2) 54.75
(3) 73
(4) 71
(5) None of these
Q3. What is the ratio between total marks obtained by D in Biology, Maths and English together and the total marks obtained by F in these subjects together respectively?
(1) 209 : 215
(2) 215 : 209
(3) 206 : 223
(4) 223 : 206
(5) None of these
Q4. Marks obtained by C in Maths are approximately what per cent of his total marks obtained in all the six subjects together ?
(1) 22
(2) 16
(3) 20
(4) 18
(5) 28
Q5. What are the total marks obtained by ‘B’ in all the subjects together ?
(1) 336
(2) 223
(3) 446
(4) 273
(5) None of these
Answer & Explanation Solutions (1-5) 2. (2) 3. (1) 4. (5) 5. (5)
1. (2)
Required Average = (76 + 84 + 66 + 72 + 88 + 64)/6 * 150/100 = 112.5
Required Average = (66 + 72 + 78 + 80 + 68 + 74)/6 * 75/100 = 54.75
Total marks obtained by D in Biology, Maths and English together = 68% of 100 + 72% of 150 + 66% of 50 = 209
Total marks obtained by F in Biology, Maths and English together = 79% of 100 + 64% of 150 + 80% of 50 = 215
Required ratio = 209 : 215
Required % = 66% of 150/(56%of75 + 78%of75 + 71%of100 + 66%of150 + 86%of50 + 70%of50) * 100 = 28% (approx)
Total marks obtained by ‘B’ in all the subjects together
= 76% of 75 + 72% of 75 + 65% of 100 + 84% of 150 + 74% of 50 + 75% of 50
= 376.5