Quant Quiz

Directions (Q. 1-5): Following pie chart shows the percentage share of cost of production by six computer system manufacturers. Total cost of production is 50 crores. The table shows the ratio of production of Desktop and Laptop systems and percentage profit earned on these two type of system by these six companies.

1. What is the total production cost of Desktop system by H.P. and Dell
(1) 12 crores
(2) 14 crores
(3) 15 crores
(4) 16 crores
(5) None of these

2. What is the total profit earned by Sony?
(1) 1.2 crores
(2) 1.4 crores
(3) 1.5 crores
(4) 1.8 crores
(5) None of these

3. What is the difference between cost of production of Desktop and Laptop system by company Apple?
(1) 0.6 crore
(2) 0.75 crore
(3) 1.0 crore
(4) 1.2 crores
(5) None of these

4. What is the ratio between profit earned on Desktop and Laptop by HCL?
(1) 4 : 5
(2) 15 : 8
(3) 4 : 15
(4) 7 : 9
(5) None of these

5. Profit earned by Lenevo by selling Desktop system is what percentage of the profit earned by selling Laptop?
(1) 72.5%
(2) 64.5%
(3) 42.5%
(4) 37.5%
(5) None of these

Directions (Q. 6-10): Following bar graph shows the income and expenditure of a company in the period of 2003 to 2008.

6. What is the total profit gained by company in the period of 2003 to 2008?
(1) 180 lakhs
(2) 210 lakhs
(3) 240 lakhs
(4) 290 lakhs
(5) None of these

7. What is the ratio between percentage profit gained in year 2003 and year 2006?
(1) 3 : 7
(2) 4 : 11
(3) 1 : 3
(4) 4 : 15
(5) None of these

8. In which year percentage profit gained by company is maximum?
(1) 2003
(2) 2005
(3) 2006
(4) 2007
(5) None of these

9. What is the percentage profit (approximate value) gained by company if we take year 2007 and 2008 together?
(1) 11.36%
(2) 15.85%
(3) 17.25%
(4) 18.50%
(5) None of these

10. In which of the following pair of years the percentage profit/loss (considering only magnitude) is equal?
(1) 2003–2004
(2) 2004–2007
(3) 2005–2008
(4) 2004–2006
(5) None of these

Directions (Q. 11-15): Following line graph shows the ratio of female and male employees working in two companies A and B.

11. If in year 1990 there were 50 male employees working in Company A then what is the number of female employees working there in the same year?
(1) 48
(2) 40
(3) 36
(4) 24
(5) None of these

12. If in year 2005 total employees working in Company B is 320 then what is the difference between number of male and female employees?
(1) 60
(2) 75
(3) 80
(4) 90
(5) None of these

13. If in year 1985 in Company B, number of female employees in increased by 25% and number of male is decreased by 25%, then what will be the new ratio between female and male?
(1) 1 : 3
(2) 2 : 3
(3) 1 : 2
(4) 3 : 4
(5) None of these

14. If in year 2000, number of female in Company A and in year 2010, number of male in Company B is equal to 75, then what is the difference between number of male in Company A in 2000 and number of female in Company B in year 2010?
(1) 145
(2) 245
(3) 345
(4) 445
(5) None of these

15. In year 1990 the ratio of female and male employees working in Company B is how much percentage more than that of the ratio of female and male employees in Company A in the same year?
(1) 5%
(2) 12%
(3) 16%
(4) 25%
(5) None of these

ANSWERS
Solutions (1-5)
1. 2;
Total cost = 50 (24/100 * 2/3 + 20/100 * 3/5)
= 50(16/100 + 12/100) = (50*28)/100  = 14 crores

2. 4;
Production cost of Desktop = 50 * 16/100 * 5/8 = 5 crores
Profit = 24% of 5 crores =  5*24/100 = 1.2 crores
Production cost of Laptop = 50*16/100*3/8 = 3 crores
Profit  = 20% of 3 crores = 3 * 20/100  = 0.6 crore
Total Profit = 1.2 + 0.6 = 1.8 crores

3. 3;
Production cost of Laptop = 50 * 18/100 * 5/9 = 5 crores
Production cost of Desktop = 50 * 18/100 * 4/9 = 4  crores
Difference = 5 – 4 = 1 crore

4. 2;
Production cost of Laptop = 50 * 10/100 * 3/5 = 3 crores
Profit = 20% of 3 crores = 3 * 20/100  = 0.6 crore
Production cost of Desktop = 50 * 10/100 * 2/5 = 2  crores
Profit =  16% of 2  crores = 2 * 16/100  = 0.32 crore

5. 4; Production cost of Laptop = 50 * 12/100 * 2/3 = 4 crores
Profit =  40% of 4  crores = 4 * 40/100 = 1.62 crore
Production cost of Desktop = 50 * 12/100 * 1/3 =  2 crore
Profit =  30% of 2  crores = 2 * 30/100  = 0.6 crore
% = 0.6/1.6 * 100  = 37.5%

6. 4;
Total income = 300 + 240 + 400 + 350 + 500 + 450 = 2240
Total expenditure = 250 + 320 + 360 + 200 + 400 + 420 = 1950
Difference = 2240 – 1950 = 290 lakhs

7. 4;
Percentage profit in 2003 = (300 - 250)/250 * 100  = 20%
Percentage profit in 2006 = (350 - 200)/200 * 100  = 75%
Ratio = 20/75 = 4 : 15

8. 3;
Percentage profit in 2006 = (350 - 200)/200 * 100 = 75%

9. 2;
In 2007 and 2008, total income = 500 + 450 = 950
Total expenditure = 400 + 420 = 820
% profit = (950 - 820)/820 * 100  = 15.85%

10. 2;
In 2004, its loss is 25%.
In 2007, its profit is 25%.

11. 4;
F/M= 0.48
F = 0.48 × 50 = 24

12. 3;
In 2005,
F/M = 0.6
5F = 3M ...(i)
Given than, M + F = 320 ...(ii)
From equations (i) and (ii),
M = 200,   F = 120
Difference = 200 – 120 = 80

13. 1;
In 1985 , F/M  = 0.2
F1 = F + F * 25/100 = 5F/4  and
M1 = M - M * 25/100 = 3M/4
= 1 : 3

14. 3;
FA/MA  = 0.2
MA = 75/0.2 = 375
FB/MB = 0.4
FB = 0.4 × 75 = 30
Difference = 375 – 30 = 345

15. 4;
FA/MA = 0.48,  
FB/MB = 0.6
% = (0.6 - 0.48)/0.48 * 100 = 0.12/0.48 * 100 = 25%