Quantitative Aptitude Quiz

Directions (1-5): Study the following arrangement carefully and answer the questions given below.

In an exhibition of watches there were three companies HMT, ROMAX and TITAN who introduced their models in the exhibition and it is found at the last of the exhibition that total 300 customers have visited exhibition. 50% customers purchased HMT; 55% customers purchased TITAN; 45% customers purchased ROMAX. 20% of customers who purchased HMT also purchased other two brands. Customers who purchased any of two brands are 95. Customers of only HMT are 20 more than that of only ROMAX. Customers who purchased only HMT and ROMAX are 40.


1.    How many of them did not purchase any of the three watches?
(a) 15
(b) 20
(c) 05
(d) 10
(5) None of these

2. How many of them purchased only one brand of watches?
(a) 175
(b) 160
(c) 165
(d) 170
(5) None of these

3. How many of them purchased at least two brands of watches?
(a) 125
(b) 105
(c) 95
(d) 130
(5) None of these

4. How many of them didn’t purchase only one ROMAX watch?
(a) 160
(b) 105
(c) 260
(d) 265
(5) None of these

5. What is the total number of watches which have been sold?
(a) 450
(b) 445
(c) 455
(d) 305
(5) None of these

Directions (6-10): Following bar-graph shows the percentage of passed girls with respect to total passed students of two colleges A and B.

6. If the number of boys passed from College A and College B is 220 and 175 respectively in the year 2002, then what is the difference between number of girls passed from A and B in year 2002?
(a) 75
(b) 80
(c) 95
(d) 105
(5) None of these

7. If the number of girls passed from College A and College B in year 2001 is equal to 70, then what is the sum of total number of passed students of College A and College B in the same year?
(a) 445
(b) 415
(c) 405
(d) 375
(5) None of these

8. If the number of girls passed from College A in year 2004 is equal to the number of boys passed from College B in year 2002 and it is 105, then what is the difference to total number of students passed from College A in 2004 and College B in year 2002?
(a) 25
(b) 30
(c) 35
(d) 40
(5) None of these

9. If total number of students passed from College A and College B in year 2005 is 400 and 500 respectively, then number of girls passed from College B is how much percent more than the number of girls passed from College A in the same year?
(a)    12(1/2)% 
(b)   17(1/2)%
(c)   2(2/9)%
(d)    1(1/7)%
(5) None of these

10. If the number of girls passed from College A and College B in year 2003 is 200 and 240 respectively, then number of boys passed from College B is what percent of number of boys passed from College A in same year?
(a) 80%
(b) 110%
(c) 120%
(d) 130%
(5) None of these

Directions (11-15): Following line graph shows the income and expenditure of person A and B. Answer following question based on this graph.

11. If the percentage profit gained by A is 16% and B is 20% in the year 2003, then what is the difference between expenditure of B and income of A in the same year?
(a) 10 lakhs
(b) 12 lakhs
(c) 15 lakhs
(d) 16 lakhs
(5) None of these

12. If the percentage profit gained by A and B are equal to 20% in the year 2001, then what is the ratio of A’s income and B’s expenditure?
(a) 3 : 5
(b) 2 : 3
(c) 5 : 4
(d) 6 : 5
(5) None of these

13. If the income of A and B is equal in year 2002 then what is the percentage profit gained by A?
(a) 15%
(b) 16(2/3)% 
(c)   18(1/3)%
(d) 20%
(5) None of these

14. If the expenditure of A and B is same in the year 2004 then what is the percentage profit gained by B in the same year?
(a) 36%
(b) 24%
(c) 28%
(4) 30%
(5) None of these

15. If the amount of profit gained by A and B is same in the year 2006 then what will be the income of A in the same year?
(a) 30 lakhs
(b) 20 lakhs
(c) 15 lakhs
(4) 10 lakhs
(5) None of these



ANSWERS

1. 3
2. 4
3. 1
4. 4
5. 1

Solutions (6-10)

6. 4;
Total number of passed students of College A
= (100*220)/55 = 400
Number of girls passed = 45% of 400 = 180
Total number of passed students of College B
= (100*175)/70 = 250
Number of girls passed = 30% of 250 = 75
Difference = 180 – 72 = 105

7.4;
For College A,
35% of girls = 70
Total student = (70*100)/35  = 200

For College B,
40% of girls = 70
Total student = (70*100)/40 = 175
Sum = 200 + 175 = 375

8. 1;
Total students passed of College A in 2004 = 175
Total students passed of College B in 2002 = 150
Difference = 175 – 150 = 25

9. 5;
Number of girls passed of College A
= (44*400)/100  = 176
Number of girls passed of College B
= (36*500)/100 = 180
% difference = (180 - 176)/176 * 100 = 4/176 * 100 = 2.27


10. 4;
Number of girls passed from College A = Number of boys passed from College A = 200 Number of girls passed from College B = 48% = 240
Total passed = (240*100)/48 = 500
Number of passed boys = 52% of 500 = 260
% = 260/200 * 100  = 130%

11. 1;
Income of A = 250 * 116/100 = 290 lakhs
Expenditure of B = 360 * 100/120 = 300 lakhs
Difference = 300 – 290 = 10 lakhs

12. 4;
Expenditure of A = 200
Profit = 20%
Income = 240
Ratio = 240/200 = 6 : 5

13. 2;
Expenditure of A = 300
Income of A = Income of B = 350
Profit of A = (350 - 300)/300 * 100 = 50/3 = 16(2/3)%

14. 5;
Income of B = 450
Expenditure of B = 350
% profit = (450 - 350)/350 * 100 = 28 (4/7)%

15. 5; Data inadequate