SBI PO Quantitative aptitude Practice set 1

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 ? A.   89 B.   75 C.   78 D.   82 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