Quant Quiz

Directions (1-5): In the following pie charts percentage distribution of marks scored by two students A and B in five subjects are given. Both the students scored 500 each, then answer the following questions.

Maximum marks is 200 in each paper and pass marks is 80.
        

1. What is the difference between marks they got in Maths?
(1) 5
(2) 8
(3) 12
(4) 15
(5) None of these

2. What is the ratio of marks scored in Chemistry by both the students A and B respectively?
(1) 3 : 5
(2) 5 : 3
(3) 5 : 8
(4) 8 : 5
(5) None of these

3. What is the average marks Student B scored in Physics, Chemistry, English and Maths?
(1) 102
(2) 104.5
(3) 106.25
(4) 96.75
(5) 98

4. What is the ratio of number of subjects in which A and B failed where total marks for each paper is 200 and pass marks is 80?
(1) 1 : 2
(2) 2 : 1
(3) 2 : 3
(4) 3 : 2
(5) 1 : 1

5. If the percentage marks distribution is same but Student A scores total 600 marks, then what he would have scored in Chemistry?
(1) 75
(2) 80
(3) 85
(4) 90
(5) 100

Directions (6-10): The given bar-graph shows the percentage expenditure of a person on food and education items for five years and the table given below shows the total expenditure of that person for these five years. 

6. In which year the man spent highest amount on food?
(1) 2001
(2) 2002
(3) 2003
(4) 2004
(5) 2005

7. In which year the man spent least amount on education?
(1) 2001
(2) 2002
(3) 2003
(4) 2004
(5) 2005

8. In which year there was the highest increase over the preceding year in the amount at money spend on food?
(1) 2001
(2) 2002
(3) 2003
(4) 2004
(5) 2005

9. In which year there was the highest increases over the preceding year in the amount of money spend on education?
(1) 2001
(2) 2002
(3) 2003
(4) 2004
(5) 2005

10. What is the difference between average money spent on food and education in the period of 2000-2005?
(1) 0
(2) 380
(3) 464
(4) 544
(5) None of these

Directions (11-15): Read the following table carefully and answer the questions given below.
Percentage marks obtained by five students in five subjects in a school

11. How much percentage marks did Shruti obtain in the examination?
(1) 72.2
(2) 73.8
(3) 74.8
(4) 71.5
(5) None of these

12. What is the average marks obtained by all students in Hindi?
(1) 42.6
(2) 41.2
(3) 40.8
(4) 42.8
(5) None of these

13. It is required to obtain at least 120 marks to pass in the examination. How many students passed in the examination?
(1) Two
(2) None
(3) One
(4) Three
(5) None of these

14. What is the total marks obtained by Ritesh in all the subjects?
(1) 396
(2) 408
(3) 402.5
(4) 398.5
(5) None of these

15. What is the respective ratio fo the marks obtained by Ritesh and Beena in Maths and that by Sheetal in the same subject?
(1) 9 : 11
(2) 7 : 12
(3) 11 : 9
(4) 21 : 11
(5) None of these

Solutions with Explanations:
Solutions (1-5)
1.4;
A scored in Maths = 500 × 28/100 = 140
B scored in Maths = 500 × 25/100  = 125
Difference = 140 – 125 = 15

2. 3;
Ratio = 15/24 = 5 : 8

3. 3;
Average marks = (80+120+125+100)/4 = 106.25

4. 5;
A failed in Chemistry.
B failed in Hindi.

5. 4; 15/100 × 600 = 90

Solutions (6-10)

6. 4 - In 2004 = 5600 x 65% = Rs 3640
7. 1 - In 2001 = 40% x 4000 = Rs 1600
8. 4 - (2004) It is obviously clear from given data in bar - graph
9. 5 - (2005) It is obviously clear from given data in bar - graph
10. 3 – Total Avg amount spent on Food = 13660 / 5 = 2732
Total Avg amount spent on Educaion = 11340 / 5 = 2268
Difference = 2732 – 2268 = 464

Solutions (11-15)

11. 2; Percentage marks = 369/500 * 100 = 73.8
12. 3; Average marks = 408 × 50/100 * 1/5  = 40.8
13. 5;
14. 5; Total marks = 67 + 105 + 105 + 48 + 45 = 370
15. 5; Ratio = 12 : 7