Study the following information carefully and answer the questions given below.

There are five students who appeared in an examination of four different subjects (ie History, English, Hindi and Political Science). The maximum mark in each subject is 100. Narendra scored 92 marks in English and ratio of marks scored by him in History to Hindi is 5:6. He scored 6 marks more in Political Science as compared to Hatim in the same subject.

        Hatim scored 45 marks in English and the ratio of marks scored by him in Hindi to History is 8:7. Marks scored by Sachin in Hindi and English are equal and he scored full marks in History and also in Political Science, he scored 10 marks more than English. Kartik scored full marks in Political Science and the ratio of marks scored by him in History to English is 10:9 and also scored 10 marks less in Hindi as compared to Dinesh in the same subject.

        Dinesh scored equal marks in Hindi and Political science. He scored 50 and 60 marks in History and English respectively. It is given that the percentage of marks scored by Hatim, Narendra, Sachin, Dinesh and Kartik in all the subjects are 65, 82, 80, 75 and 70 respectively. Marks scored by Hatim in Political science is 65.

1) What is the difference between the percentage marks scored by Narendra in History, Hindi and Political Science and the percentage marks scored by Dinesh in the same subjects?

a)2.34%

b) 3.14%

c) 2.54%

d) 1.34%

e) None of these

2) How many of the given students scored more than 80% marks in History and English together?

a)one

b) None

c) Two

d) Three

e) Five

3) What is the average marks scored by all the students in English?

a)64.5

b) 60.5

c) 62.4

d) 61.4

e) None of these

4) What is the ratio of marks by Kartik, Dinesh and Sachin in Hindi and English to the marks scored by Hatim, Narendra and Dinesh in History and Political Science?

a)425:426

b) 426:425

c) 325:326

d) 326:325

e) None of these

5) If the marks scored by Narendra and Sachin in Hindi are increased by 10% each, then the marks scored by Narendra, Hatim and Sachin in Hindi is what percent of the marks scored by Dinesh in Hindi and Political Science?

a) 134.75%

b) 134.57

c) 134.73

d) 134.37

e) None of these

Answers :

1) Answer: D

The given information can be tabularized as follows.

Where 8Y and 7Y = Marks obtained by Hatim in Hindi and History respectively.

5X and 6X = Marks obtained by Narendra in History and Hindi respectively.

P = Marks obtained by Sachin in Hindi and English each.

T = Marks obtained by Dinesh in Hindi and Political Science.

10Z and 9Z= Marks obtained by Kartik in History and English respectively.

Total marks scored by Hatim = 65 x 4 = 260

Narendra = 82 x 4 = 328

Sachin = 80 x 4 = 320

Dinesh = 75 x 4 = 300

Kartik = 70 x 4 = 280

Now, 50 + 60 + 2T = 300

Again, 10Z + 9Z +(95-10) + 100 = 280

Z = 5

Again, 100 + P + P + P +10 = 320

3P = 210

P = 70

Again, 5X + 6X + 92 + 71 = 328

11X = 328 -163

X = 15

7Y + 8Y + 45 + 65 = 260

15Y = 150

Y = 10

Thus, the given table becomes:

2) Answer: C

Hence only two students scored more than 80%. Ie Narendar and Sachin.

3) Answer: C

4) Answer: A

Required Ratio = (70 +70 +95+ 60+85 +45): (70+65+75+71+50+95) 

= 425 : 426

5) Answer: C