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SBI PO Quantitative aptitude Practice set – 7

| | | 1 . | **Direction (1-5): Study the following Radar graph and answer the given questions**
$Q.$ In which year is the average of the number of companies registered the maximum? |
A. 2008 | B. 2006 | C. 2010 | D. 2011 | | | 2 . | The number of companies registered in 2012 is what percentage more or less than the number of companies registered in the year 2005? |
A. 26.33% | B. 24% | C. 22% | D. 33.33% | | | 3 . | What is the ratio of the number of companies registered in Japan to that in China during 2005 to 2012? |
A. 40:47 | B. 40:43 | C. 38:41 | D. 40:41 | | | 4 . | In which country is the average number of companies registered the maximum? |
A. Japan | B. China | C. Germany | D. France | | | 5 . | The total number of companies registered in France is how much more or less than the total number of companies registered in China? |
A. 42% less | B. 44.14% less | C. 34.14% less | D. 42% more | | | 6 . | **Direction (6-10):Misco Computer company has the following economic indicators for the mentioned years. Refer to the graphs to answer the questions that follow**
$Q.$ Depreciation and tax are calculated on the gross profit. If the depreciation in 1994 is 12.5% and the tax is 6%; then what is the net profit (in `crores) for that year? |
A. 4.21 | B. 5.10 | C. 5.40 | D. 6.09 | | | 7 . | In which of the following years, is the gross profit, (expressed as a percentage of the turnover) been the highest? |
A. 1996 | B. 1995 | C. 1994 | D. 1993 | | | 8 . | In which of the following years has the ratio of turnover to gross fixed assets been the highest? |
A. 1996 | B. 1993 | C. 1994 | D. 1995 | | | 9 . | Sales defined as Gross profit/Turnover. Over the years 1992-1996, what has the approximate average return on sale (expressed as a percentage) been? |
A. 12% | B. 10% | C. 11% | D. 8% | | | 10 . | I n which year the lowest percentage increases over the previous year in the gross fixed assets of the company ? |
A. 1996 | B. 1995 | C. 1994 | D. 1993 | | | | |

| **Answers & Solutions ** | | 1 . | Answer : Option B | Explanation : | In 2005 the average number of companies registered
= $5 + 10 + 15 + 35 \times 1000 \over 4$ = $6500 \over 4$ = 16250
In 2006 the average number of companies registered
= $10 + 25 + 30 + 35 \times 1000 \over 4$ = 25000
In 2007 the average number of companies registered
= $5 + 10 + 15 + 20 \times 1000 \over 4$ = 12500
In 2008 the average number of companies registered
= $30 + 25 + 20 + 15 \times 1000 \over 4$ = 22500
In 2009 the average number of companies registered
= $5 + 20 + 25 + 35 \times 1000 \over 4$ = 21250
In 2010 the average number of companies registered
= $10 + 20 + 25 + 30 \times 1000 \over 4$ = 21250
In 2011 the average number of companies registered
= $5 + 15 + 25 + 35 \times 1000 \over 4$ = 20000
In 2012 the average number of companies registered
= $10 + 15 + 30 + 35 \times 1000 \over 4$ = 22500
Hence, in 2006, the average no.of companies registered = $ 10 + 15 + 30 + 35 \times 1000 \over 4$ = 22500 | | | 2 . | Answer : Option D | Explanation : | Number of companies registered in 2012 = 90000
Number of companies registered in 2005 = 65000
Reqd % = $90000 - 65000 \over 75000 $ x 100 = 33.33 % Hence, 33.33% more | | | 3 . | Answer : Option D | Explanation : | Number of companies registered in Japan during 2005 to 2012
=(10 + 35 + 10 + 25 + 20 + 30 + 35 + 35) × 1000 = 20000
Number of companies registered in, China during 2005 to 2012
=(35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) × 1000 = 205000
Reqd ratio = 20000 : 20500
= 40 : 41 | | | 4 . | Answer : Option B | Explanation : | | | | 5 . | Answer : Option C | Explanation : | | | | 6 . | Answer : Option B | Explanation : | Gross profit in 1994
= (41.55 × 0.15)
= 6.23 crores
Net profit = Gross profit – Depreciation –Tax
= 6.23 – 0.125 × 6.23 – 0.06 × 6.23
= 5.07 crores
The nearest option given in 5.10 crores. | | | 7 . | Answer : Option A | Explanation : | Gross profit as a percentage of turnover
1992 = $1.662 \over 30$ x 100 = 5.5 %
1993 = $2.078 \over 55$ x 100 = 3.8 %
1994 = $6.23 \over 85$ x 100 = 7.3 %
1995 = $13.71 \over 135$ x 100 = 10.2 %
1996 = $17.87 \over 140$ x 100 = 12.7 %
Hence, the highest percentage is for the year 1996 | | | 8 . | Answer : Option B | Explanation : | Ratio of turnover to gross fixed assets for the different years
1996 = $140 \over 160$ = 7 : 3
1993 = $55 \over 10$ = 11 : 2
1994 = $85 \over 20$ = 17 : 4
1995 = $135 \over 27$ = 5 : 2
Hence the highest ratio is for year 1993 | | | 9 . | Answer : Option D | Explanation : | Average percentage = $5.5 + 3.8 + 7.3 + 10.2 + 12.7 \over 5$ = 7.9% = 8%
| | | 10 . | Answer : Option D | Explanation : | By observation we can conclude that lowest increase is for 1992-93, i.e. 25% | | | | |

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