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SBI PO Quantitative aptitude Practice set 1

IBPS Online
March 17, 2017
Quantitative Aptitude

| | | 1 . | **Directions (1-5) : Study the following chart to answer the questions given below:**
$Q.$ The population of villages A as well as B is increased by 10% from the year 1995 to 1996. If the population of village A in 1995 was 5000 and the percentage of popoulation below poverty line in 1996 remains same as in 1995, find approximately the population of village B below poverty line in 1996 |
A. 4000 | B. 4500 | C. 2500 | D. 3500 | | | 2 . | If in 1997 the population of village D is increased by 10% and the population of village G is reduced by 5% in 1995 and the population of village G in 1995 was 9000, what is the total population of villages D and G in 1997 ? |
A. 19770 | B. 19200 | C. 19870 | D. None of these | | | 3 . | If in 1995 the total population of the seven villages together was 55,000 approximately, what will be population of village F in that year below poverty line ? |
A. 3000 | B. 25000 | C. 4000 | D. 3500 | | | 4 . | If the population of village C below poverty line in 1995 was 1520, what was the population of village F in 1995 ? |
A. 4000 | B. 6000 | C. 6500 | D. None of these | | | 5 . | The population of village C is 2000 in 1995. What will be the ratio of population of village C below poverty line to that of the village E below poverty line in that year ? |
A. 207 : 76 | B. 76 : 207 | C. 152 : 207 | D. None of these | | | 6 . | **Directions (6-10) : Study the graphs carefully to answer the questions that follow:**
$Q.$ What is the total percentage of boys in schools R and U together (rounded off to two digits after decimal) |
A. 78.55 | B. 72.45 | C. 76.28 | D. 75.83 | | | 7 . | What is the total number of boys in School T ? |
A. 600 | B. 650 | C. 700 | D. 750 | | | 8 . | The total number of students in school R, is approximately what percent of the total number of students in school S ? |
| | 9 . | What is the average number of boys in schools P and Q together ? |
A. 1425 | B. 1575 | C. 1450 | D. 1625 | | | 10 . | What is the respective ratio of the number of girls in school P to the number of girls in school Q ? |
A. 27 : 20 | B. 17 : 21 | C. 20 : 27 | D. None of these | | | | |

| **Answers & Solutions ** | | 1 . | Answer : Option D | Explanation : | Population of village B in 1995 = 5000 x $16over 13$ $cong$ 6150
Population of village B in 1996 = 6150 x $110over 100$ $cong$ 6750
Population below poverty line = 52% of 6750 $cong$ 3500 | | | 2 . | Answer : Option A | Explanation : | Population of village D in 1995
= 9000 × $17\over 15$
= 10,200
Population of village D in 1997
= 10200 × $110\over 100$
=11220
Population of village G in 1997
= 9000 × $95\over 100$
= 8550
Total population of villages D and Gin 1997
= 11220 + 8550 = 19770 | | | 3 . | Answer : Option D | Explanation : | Population of village F below poverty line = 5500 x $13\over 100$ x $49\over 100$ $\cong$ 3500 | | | 4 . | Answer : Option C | Explanation : | Population of village F in 1995 = 1520 x $100 \over 37$ x $13\over 8$ = 6500 | | | 5 . | Answer : Option B | Explanation : | Population of village C below poverty line = 2000 x $38 \over 100$ = 760
Population of village E below poverty line = $2000\over 8$ x 18 x $46\over 100$ = 2070
Reqd.Ratio = $760 \over 2070$ = 76 : 207 | | | 6 . | Answer : Option D | Explanation : | Number of boys in school R and U together
= $2000 \times 72.5\over 100$ + $1000 \times 82.5\over 100$
= (1450 + 825) = 2275
Required percentage = $2275\over 3000$ x 1000 = 75.83%
| | | 7 . | Answer : Option D | Explanation : | Number of boys in school T = $1250\times 60\over100$ = 750 | | | 8 . | Answer : Option A | Explanation : | Required percentage = $2000\over 2250$ x 100 = 89 | | | 9 . | Answer : Option B | Explanation : | Required percentage = $1\over 2$ x $2500\times60\over100$ + $3000\times 55\over 100$
= $1\over 2$ (1500 + 1650)
= 1575 | | | 10 . | Answer : Option C | Explanation : | Required ratio = $2500\times40\over100$ : $3000 \times 45 \over 100$
= 25 x 40 : 30 x 45
= 20 : 27 | | | | |

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