Saturday, 27 December 2014

Quant Quiz

Directions (1-5): Study the following Pie Graph carefully and answer the questions given below.
Cost estimated by a family in renovation of its house.
Total cost estimate Rs.240000

1. During the process of renovation the family actually incurs miscellaneous expenditure of Rs.20400. The miscellaneous expenditure incurred by the family is what percent of the total estimated cost?
(1) 9.5
(2) 9
(3) 8.5
(4) 10.5
(5) None of these

2. Other than getting the discount of 12% on the estimated cost of furniture and the actual miscellaneous expenditure of Rs. 20,400 instead of the estimated, the family’s estimated cost is correct. What is the total expenditure of the family in renovation of its house (In Rs.)?
(1) 237456
(2) 231852
(3) 239000
(4) 233000
(5) None of these

3. What is the difference in the amount estimated by the family on Interior Decoration and Architect Fees (In Rs.)?
(1) 20000
(2) 19000
(3) 14400
(4) 18000
(5) None of these

4. What is the cost estimated by the family on Painting and Flooring together (In Rs.)?
(1) 73000
(2) 69600
(3) 72000
(4) 69000
(5) None of these

5. The family gets a discount on Furniture and pays 12% less than the estimated cost on Furniture. What is the amount spent on furniture (In Rs.)?
(1) 26400
(2) 29052
(3) 27052
(4) 27456
(5) None of these

Directions (6-10): Study the following table and answer the questions given below.
The following table details the revenue of three major Indian software companies A, B and C and total revenue of all Indian software companies from 2008 to 2012.

Year
A   
(in crores)
     B          (in crores)
        C
(in crores)
Total
(including all companies)
2008
587
897
303
1891
2009
1030
1135
410
2660
2010
1275
1531
510
3460
2011
1820
2070
700
4720
2012
2400
2800
1025
6300

6. What is the simple growth rate of the total revenue from 2008 to 2012?
(1) 233%  
(2) 258%
(3) 235% 
(4) 242%
(5) Cannot be determined

7. Which of the following statements is/are true?
I. The revenue has shown the highest growth rate for company B.
II. If revenues of company C grows at the same rate from 2013 to 2017 as 2008 to 2012, then output in 2017 will be Rs.2100 crore.
III. The ratio of revenues of company A and C in 2010 is 1:4.
(1) Only I  
(2) Only II
(3) Only III 
(4) Both I and III
(5) None of these

8. If the share of company B’s revenue in the total remains same in 2014 as in 2012; and in 2014, the total output is Rs. 9000 cr, the revenue of company B in 2014 is
(1) Rs.4000 cr
(2) Rs.3000 cr
(3) Rs.2000 cr 
(4) Rs.2500 cr
(5) Cannot be determined

9. Which of the following statements is/are true?
I. Revenues of company B grew at a (simple rate of ) 22% per annum from 2008 to 2012.
II. Total revenue of A, B and C grew at (a simple rate of) 15% per annum on an average from 2008 to 2012..
III. Revenues of company A is growing fastest during the period shown above.
(1) Only I
(2) Only III
(3) II and III 
(4) Both I and II
(5) None of these

10. What was the total Revenue of software companies other than those mentioned in the table in 2009 in crores?
(1) 85
(2) 75
(3) 109
(4) 65
(5) Cannot be determined

ANSWERS:

1. (3)
Required percentage = 20400/240000 * 100 = 8.5

2. (1)
Estimated mislaneous cost = 8% of 240000 = 19200
Total expenditure of family = 240000 – 19200 + 20400 – 12% of 13% of 240000 = 237456

3. (5)
Required difference = (19-11)% of 240000 = 19200

4. (2)
Requires cost = (15+14)% of 240000 = 69600

5. (4)
Amount spent on furniture = (100-12)% of 13% of 240000 = 27456

6. (1)
Required percentage =  {(6300-1891)/1891 * 100} = 233%

7. (5)
Statement I is false as growth rate of system software is lower than that of financial software.
Statement II is false as nothing is mentioned about growth rate from 88 to 89.
Statement III is false as the ratio of financial software to utilities in 1986 is 2.3.

8. (1)
Let the required value be x. Then
2800/6300 = x/9000
X = 4000

9. (2)
Statement I : [{(2800 - 897)/897} * 100]/4 = 53%
Hence statement I is false.

Statement II : [(6225 - 1787)/1787 * 100] /4 = 62%
Hence Statement II is false.

Statement III: As seen from the table financial software is the only category where the figure in 2012 is more
than 4 times that in 2008
Hence statement III is true.

10. (1)
2660 – (1030 + 1135 + 410) = 85 cr.

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