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%