Quantative Quiz - 2

Direction (1-7) : Study the following pie-charts carefully and answer the questions given below:

Year-wise Breakup of the number of candidates appeared for an entrance exam and Year-wise Breakup of the number of candidates who cleared the entrance exam.
Total Number of candidates appeared in the entrance exam from 2007-2012 = 256000

Total Number students who cleared the entrance test  from 2007-2012 = 32000

1. What was the ratio of the number of students appeared for the entrance exam in 2012 and the number of students who cleared the exam in 2007 respectively?
(1) 8 : 1
(2) 36 : 5
(3) 72 : 5
(4) 18 : 10
(5) None of these

2. The total number of students appeared in entrance exam from 2008 and 2011 was what percentage of number of students appeared for the entrance exam in 2009?
(1) 120
(2) 150
(3) 125
(4) 80 
(5) None of these

3. Approximately what was the difference between the number of students who cleared the entrance exam in 2009 and number of students who cleared the entrance exam in 2007?
(1) 960
(2) 1920
(3) 3200
(4) 5120
(5) None of these

4. For which year  was the difference in the number of students selected to number of students appeared in entrance exam the maximum?
(1) 2008 
(2) 2007 
(3) 2010
(4) 2009
(5) None of these

5. The total number of students who cleared the exam from all years together is what percent of the total number of students appeared for the exam in all years together?
(1) 17.5%
(2) 15%
(3) 22.5%
(4) 12.5%
(5) None of these

6. The number of candidates who cleared the entrance exam in 2008 is approximately how much percent of the total number of students who appeared for the exam in the same year?
(1) 12
(2) 18
(3) 15
(4) 8
(5) 5

7. Approximately what was the total number of students cleared the entrance exam in 2010 and 2009 together?
(1) 6400
(2) 15200
(3) 115200
(4) 7920
(5) None of these

Directions (8-14): Study the following graph carefully to answer these questions

The graph shows the Percent Profit earned by two companies over different months.
% Profit = (Profit earned/Total investment) * 100

Profit earned = Total Income – Total Investment in the year

8. If the amount of profit earned by company P in May was Rs. 5 lakhs, what was its total investment in that month?
(1) Rs. 50 Lakh
(2) Rs. 40 Lakh
(3) Rs. 33.3 Lakh 
(4) Rs. 25 Lakh 
(5) None of these

9. If the profit earned by company Q in January was Rs. 16.4 Lakhs, What was the total income of the company in that month?
(1) Rs. 820000
(2) Rs. 65600000
(3) Rs. 7500000
(4) Rs. 8200000
(5) None of these

10. If the amount invested by the two companies in February was equal, what was the respective ratio of the total income of the company P to that of Q in that month?
(1) 22 : 23
(2) 2 : 3
(3) 3 : 2
(4) 23 : 22
(5) None of these

11. If the total amount invested by the two companies in Feb was Rs. 24 Lakh while the amount invested by Company Q was three-fifth of the amount invested by Company P, what was the total profit earned by the two companies together in that month?
(1) Rs. 2.15 Lakh
(2) Rs. 2.75 Lakh
(3) Rs. 2.85 Lakh
(4) Rs. 1.5 Lakh 
(5) None of these

12. If the income of company P in April and that in May were equal and the amount invested in April was Rs. 18 Lakh, what was the amount invested in May?
(1) Rs. 25 Lakh
(2) Rs. 22.5 Lakh 
(3) Rs.20 Lakh
(4) Rs.30 Lakh
(5) None of these

13 If the ratio of incomes of P and Q in March was 3 : 2, then what was the respective  ratio of their investments in the same month?
(1) 67 : 46
(2) 47 : 66 
(3) 46 : 67 
(4) 66 : 47
(5) None of these

14. For how many of the given months, the profit of company Q was more than that of company P?
(1) None
(2) Two  
(3) Three
(4) Four
(5) Cannot be determined

15. If each of the companies P and Q invested Rs. 36 Lakh in June, what was the average profit earned by the two companies in that month?
(1) Rs. 4 Lakh 
(2) Rs. 4.95 Lakh
(3) Rs. 5.15 Lakh
(4) Rs. 5 Lakh 
(5) None of these

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1. (3)
Required ratio = 18% of 256000 / 10% of 32000  = 72 : 5

2. (3)
Required percentage = (15 + 10)/20 * 100 = 125%

3. (2)
Required difference = (16 – 10)% of 32000 = 1920

4. (3)
The difference between number of students selected to number of students appeared in entrance exam in 2007
= 12 % of 256000 – 10% of 32000 = 27520
Similarly calculating for all years, the maximum difference will be for 2010.

5. (4)
Required percentage = 32000/256000 = 12.5%

6. (1)
Required percentage =  14% of 32000/15% of 256000 * 100 = 11.67

7. (5)
Required number = (20 + 16)% of 32000 = 11520

8. (2)
Let the investment be x. Now
12.5% of x = 5
x = 40 Lakh

9. (4)
Required Income = (100 +25)/25 = 82 Lakhs

10. (1)
Required Ratio = (100+10) : (100 + 15) = 22 : 23

11. (3)
Let the amount invested by company P and Q be 5x and 3x respectively.
5x + 3x = 24
x = 3.   5x = 15  and  3x = 9
Total profit earned by P and Q in February = 10% of 15 + 15% of 9 = 2.85 Lakh.

12. (3)Let the amount invested by company P in May be x. Then
125% of 18 = 112.5% of x
x = 20 Lakh

13. (4)
Required ratio = 3*(100+10)/2*(100+17.5) = 66 : 47

14. (5) Since the investment is not given, we cannot find the profit of two companies.

15. (2) Average profit in June = (7.5% of 36 + 20%of 36)/2= 4.95 Lakh