1) If the maximum marks in History is 80% of the maximum marks in Maths and the ratio of the maximum marks in History to Physics is 12: 13, then what is the ratio of the percentage marks scored by C in History, Maths and Physics together and the percentage marks scored by A in History, Physics and Maths together?

a) 3471: 2609

b) 3479: 2609

c) 3379: 2619

d) 3479: 2619

e) None of these

2) If maximum marks in each subjects is 100 and the percentage marks scored by D in Physics, History, Chemistry, Maths, Biology and Botany is 10%, 25%, 20%, 10%, 15% and 20% more than the percentage marks scored by A in that respective subjects, then what is the percentage of marks scored by D in all the subjects?

a) 45.85%

b) 55.67%

c) 61.78%

d) 66.55%

e) 71.84%

3) Ratio of the maximum marks in Biology to Botany is 8: 5 and the maximum marks in Maths to Biology is 3: 2, what is the approximate percentage marks scored by C in Botany and Maths together?

a) 75%

b) 73%

c) 80%

d) 78%

e) 84%

4) What is the difference between the percentage marks scored by B and C in all the subjects together?

a) 90%

b) 95%

c) 85%

d) 80%

e) Cannot be determine

5) If the maximum marks in Physics, Chemistry and Botany is 150, 200 and 180 respectively, then what is the difference between the total marks scored by A and B in these 3 subjects?

a) 35.3

b) 38.5

c) 37.8

d) 31.8

e) 33.9

Answers :

1) Answer: D

Maximum marks in History = 12x

Maximum marks in Physics = 13x

Maximum marks in Maths = 100/80 * 12x = 15x

A’s marks in History = 72/100 * 12x = 8.64x

A’s marks in Physics = 13x * 60/100 = 7.8x

A’s marks in Maths = 15x * 65/100 = 9.75x

Percentage in A = (8.64x + 7.8x + 9.75x)/40x * 100

= 65.475%

C’s marks in History = 12x * 87/100 = 10.44x

C’s marks in Physics = 13x * 95/100 = 12.35x

C’s marks in Maths = 15x * 80/100 = 12x

Percentage in C = (12x + 12.35x + 10.44x)/40x * 100

= 86.975%

Required ratio = 86.975:65.475

= 3479:2619

2) Answer: D

D’s marks in Physics = 110/100 * 60 = 66

D’s marks in History = 125/100 * 72 = 90

D’s marks in Chemistry = 120/100 * 54 = 64.8

D’s marks in Maths = 110/100 * 65 = 71.5

D’s marks in Biology = 115/100 * 44 = 50.6

D’s marks in Botany = 120/100 * 47 = 56.4

Required percentage = [(66 + 90 + 64.8 + 71.5 + 50.6 + 56.4)/600] * 100

= 66.55%

3) Answer: B

Maximum marks in Biology, Botany and Maths = 8: 5: 12

C’s marks in Botany = 5x * 56/100 = 2.8x

C’s marks in Maths = 12x * 80/100 = 9.6x

Required percentage = [(2.8x + 9.6x) / (5x + 12x)] * 100

= 73%

4) Answer: E

Maximum marks of each subjects is not given.

So, we can’t find the percentage marks scored by B and C in all the subjects together.

5) Answer: A

A’s marks in Physics = 150 * 60/100 = 90

A’s marks in Chemistry = 200 * 54/100 = 108

A’s marks in Botany = 180 * 47/100 = 84.6

Total marks in A = 90 + 108 + 84.6 = 282.6

B’s marks in Physics = 150 * 75/100 = 112.5

B’s marks in Chemistry = 200 * 55/100 = 110

B’s marks in Botany = 180 * 53/100 = 95.4

Total marks in B = 112.5 + 110 + 95.4 = 317.9

Difference = 317.9 – 282.6 = 35.3