200 Quantitative Aptitude Questions PDF

200 Quantitative Aptitude Questions 1. The average weight of four boys A, B, C, and D is 75 kg. The fifth boy E is included and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 kg more than E. Average weight decreases because of the replacement of A and...

200 Quantitative Aptitude Questions 1. The average weight of four boys A, B, C, and D is 75 kg. The fifth boy E is included and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 72 kg. Find the weight of A. 1) 57 kg 2) 54 kg 3) 56 kg 4) 60 kg 5) 58 kg 2. If a discount of 16% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 20% the gain percent is 1) 14 2/7% 2) 14 1/7% 3) 14 3/7% 4) 14 4/7% 5) 14 5/7% 3. In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture? 1) 29.35% 2) 28. 57% 3) 24. 57% 4) 27. 75% 5) 26. 57% 4. A rectangular plot has a concrete path running inner side of the plot is used as a lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot? 1) 980 m^2 2) 975 m^2 3) 984 m^2 4) 960 m^2 5) 965 m^2 5. Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest? 1) 14% 2) 16% 3) 12.5% 4) 15% 5) 15.5% 6. 12 men can complete any work in 36 days. 18 women can complete the same www.bankingpdf.com 200 Quantitative Aptitude Questions piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete the remaining work in 4 days, then how many women would be required? 1) 60 2) 74 3) 68 4) 75 5) 70 7. Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done? 1) 60 2) 100 3) 120 4) 90 5) 80 8. Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed of the bus is 48km/hr. For how many minutes does the bus stop per hour? 1) 15 min 2) 10 min 3) 12 min 4) 20 min 5) 18 min 9. A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange? 1) 5/12 2) 1/13 3) 1/14 4) 1/12 5) 1/24 10. Pradeep invested 20% more than Mohit. Mohit invested 10% less than Raghu. If the total sum of their investment is Rs. 17880, how much amount did Raghu invested? 1) Rs. 5000 2) Rs. 6500 3) Rs. 6000 4) Rs. 7500 5) Rs. 5500 Answers: www.bankingpdf.com 200 Quantitative Aptitude Questions 1. 3; Sum of the weight of A, B, C and D = 75 × 4 = 300 kg and average weight of A, B, C, D and E = 71 kg sum of the weight of A, B, C, D and E = 71 × 5 = 355 kg weight of E = 355 – 300 = 55 kg weight of F = 55 + 6 = 61 kg Now, average weight of F, B, C, D and E = 72 kg Sum of the weight of F, B, C, D and E = 72 × 5 = 360 kg B + C + D = 360 – 55 – 61 = 244 kg. Weight of A = 300 – 244 = 56 kg. 2. 1; Let the marked price be Rs. 100 and the cost price be Rs. x (84 - x)/x * 100 = 20 x = Rs. 70 Gain% when discount is 20 % = (80 - 70)/70 * 100 = 14 2/7% 3. 2; Now, milkman sold 40 litre of mixture So, remaining mixture = 165 – 40 = 125 litre Quantity of water = 125 × 28/100 = 35 litre Quantity of milk = 90 litre. Now, milkman made new mixture in which water = 35 + 13 = 48 litre milk = 90 + 30 = 120 litre Percentage of water in the new mixture = 48/(48 + 120) * 100 = 28.57% 4. 4; Let the breadth of the rectangle plot be x m. Given, width of the path = 4 m Area of the path = 432 m^2 and length of rectangular plot = (x + 2) m 2 × [4 (x + 2) + 4x – 2 × 4 × 4] = 432 m^2 8 (x + 2 + x – 8) = 432 m2 8 (2x – 6) = 432 16 (x – 3) = 432  x = 30 m Area of plot = x × (x + 2) = 30 × 32 = 960 m^2 5. 4; Difference of CI and SI in 2 years = Pr^2/(100)^2 r = 15% www.bankingpdf.com 200 Quantitative Aptitude Questions 6. 5; 12 men × 36 days = 18 women × 60 days 2m = 5w 8m = 20w (8m + 20w) × 20 days + xw × 4 days = 18w × 60 days 40 × 20 + x × 4 = 18 × 60  4x = 1080 – 800 x = 280/4 = 70 women 7. 5; Total number of ways = 5C1 × 4C2 + 5C2 × 4C1 +5C3 5*4*3/2 + 5*4/2 + 5*4*3/3*2 = 30 + 40 + 10 = 80 ways 8. 1; Let distance be LCM of speeds = 192 km Time taken by bus without stoppage = 192/64 = 3hr Time taken by bus with stoppage = 192/48 = 4hr Bus stops in 4 hours for 60 min Bus stops in 1 hr for 60/4 = 15 min 9. 4; Required Probability = 3C2/9C2 = 1/12 10. 3 Let the investment by Raghu be x Mohit = x * 90/100 = 9x/10 Pradeep = 9x/10 * 120/100 = 108x/100 x + 9x/10 + 108x/100 = 17880 x = Rs. 6000 www.bankingpdf.com 200 Quantitative Aptitude Questions Data Interpretation [Missing DI] : Refer to the table and answer the given questions. 1. In 2001, 6400 candidates appeared at the exam and 40% of them qualified. In 2005 the ratio between qualified males and females was 3:5. What is the total number of female candidates who qualified in these two years? A. 1120 B. 1220 C. 1330 D. 1150 E. None of the Above 2. In 2004, what percent of male candidates did qualify in the exam among all qualified candidates? A. 51% B. 61% C. 55% D. 56% E. None of the Above 3. In 2002, 54% of appeared candidates did qualify. How many female candidates did qualify in the exam? A. 280 B. 170 C. 180 D. 250 E. 240 4. In 2003, a total of 68 male candidates did qualify. What is the respective ratio between males and females who had qualified in 2003? A. 11:25 B. 19:25 C. 17:25 D. 25:13 www.bankingpdf.com 200 Quantitative Aptitude Questions E. 13:19 5. What is the average number of candidates who did not qualify in the exam in the years 2003 and 2005? A. 576 B. 556 C. 528 D. 546 E. None of the Above 6. In 2003, if the number of female qualified candidates was 70, what was the respective ratio of number of female qualified candidates and number of male qualified candidates same year? A. 5:9 B. 7:11 C. 10:11 D. 10:13 E. 5:7 7. Number of appeared candidates increased by 20% from 2002 to 2006. If 25% of the appeared candidates qualified in 2006, what was the number of qualified candidates in 2006? A. 205 B. 225 C. 245 D. 240 E. 230 8. If the average number of qualified candidates in 2002 and 2005 was 433, what percent of appeared candidates qualified in the competitive exam in 2002? A. 60% B. 75% C. 45% D. 70% E. 50% 9. In 2004, if the difference between number of male qualified candidates and number of female qualified candidates was 120, what was the number of appeared candidates in 2004? A. 840 B. 800 C. 660 D. 600 E. 720 10. In 2001, the respective ratio of number of appeared candidates to qualified candidates was 5:2. Number of female candidates qualified in 2001 constitutes what percent of the number of appeared candidates in the same year? A. 15% www.bankingpdf.com 200 Quantitative Aptitude Questions B. 25% C. 125% D. 20% E. Can not be determined Answers 1. B. 1220 Explanation : x = Female candidates in 2001 40% of 6400 = 2560 (3/8)x of 2560 = 960 y = Female candidates in 2005 40% of 1040 = 416 y = (5/8)*416 =260 Total = 960 + 260 = 1220 2. B. 61% Explanation : x = percent of qualified male candidates x = (8/13)*100 = 61% 3. C. 180 Explanation : 54% of 750 = 405 x = percent of qualified female candidates x = (4/9)*405 = 180 4. C. 17:25 Explanation : 28% of 600 = 168 Female Candidates = 168 – 68 = 100 68 : 100 => 17:25 5. C. 528 Explanation : 72% of 600 = 432 60% of 1040 = 624 432 + 624 = 1056 = 1056/2 = 528 6. E. 5:7 Explanation : 28% of 600 = 168 Female candidates = 70 Male candidates = 168 – 70 = 98 => 70:98 => 5:7 7. B. 225 www.bankingpdf.com 200 Quantitative Aptitude Questions Explanation : 20% of 750 = 150 = 750 + 150 = 900 25% of 900 = 225 8. A. 60% Explanation : Number of qualified candidates in 2002 and 2005 = 866 2005: 40% of 1040 = 416 866 – 416 = 450 (450/750)*100 = 60% 9. B. 800 Explanation : x = qualified candidates; y = Appeared Candidates (3/13)*x = 120 x = 520 65% of y = 520 y = 800 10. A. 15% Explanation : [2x * (3/8) / 5] * 100 = 15% Q.1-5): Read the following Pie-chart carefully and answer the questions given below it. Percentage wise distribution of candidates enrolled for MBA and the candidates who have successfully completed the course from different institutes. Candidates Enrolled=2500 Candidates who have successfully completed the course=1900 www.bankingpdf.com 200 Quantitative Aptitude Questions 1).Which institute has the highest percentage of candidates successful to enrolled? a) D b) E c) A d) F e) None of these 2).What percent of candidates from institute D have come out to be successful out of the total candidates enrolled from this institute? a) 115 b) 95 c) 80 d) 85 e) None of these 3).What is the approximate percentage of candidates successful to enrolled from institute A? a) 92 b) 89 c) 86 d) 96 e) 88 4).What is the ratio between the enrolled and successful candidates from the institutes B and C together? a) 55:12 b) 5:7 c) 135:271 d) 5:3 e) None of these 5).What is the percentage of successful candidates from institute E and F together over the candidates enrolled from these institutes together? a) 76 b) 105 c) 80 d) 74 e) None of these (Q.6-10): Read the following graph carefully and the answer the questions given below. Percentage profit of two companies in different years. www.bankingpdf.com 200 Quantitative Aptitude Questions 6).If total income of company B in 2008 was Rs.140 crore, what was the total expenditure of that company in the same year? (approx) a) Rs.100.66 cr. b) Rs.110.33 cr. c) Rs.98.22 cr. d) Rs.94.90 cr. e) Rs.96.55 cr. 7).If total expenditure of company B in 2009 and 2010 was Rs.270 crore, what was total income of that company in both the same years? a) Rs.121.5 cr. b) Rs.135 cr. c) Rs.140 cr. d) Data inadequate e) None of these 8).In which year was the total income more than double the total expenditure in that year for company A? a) 2010 b) 2009 c) 2011 d) 2008 e) None of these 9).If the total expenditure of company A in 2010 was Rs.200 cr. What was the total income of that company in the same year? a) Rs.260 cr. www.bankingpdf.com 200 Quantitative Aptitude Questions b) Rs.300 cr. c) Rs.160 cr. d) Data inadequate e) None of these 10).If the income of company A in 2009 was Rs.100 cr. Then what was the expenditure of company B in that year? a) Rs.150 cr. b) Rs.120 cr. c) Rs.140 cr. d) Can’t be determined e) None of these Answers: 1). e) 2).b ) 3). c) 4).d ) 5). a) 6). e) 7). d) 8). e) 9). b) 10). d) Solutions: 1). e) 2). No. of enrolled candidate from institute D= (150/100)*2500=300 No. of successful candidates= (15/100)*1900=285 Required percentage= (285/300)*100=95% 3). No. of enrolled candidates from institute A = (15*100)*2500=375 No. of successful Candidates= (17/100)*1900=323 Required Percentage= (323/375)*100=86% (approx) 4). No. of enrolled candidates from institute B= (22/100)*2500=550 No. of enrolled candidates from institute C= (16/100)*2500=400 Total=550+400=950 No. of successful candidates from institute B= (18/100)*1900=342 No. of successful candidates from institute C= (12/100)*1900=228 Total= 342+228=570 Required Ratio=570:950=5:3 5). No. of successful candidates from institute E= (9/100)*1900=171 No. of successful candidates from institute F=(16/100)*1900=304 Total 304+171=475 No. of enrolled candidates from institute E= (8/100)*2500=200 No. of enrolled candidates from institute F= (17/100)*2500=425 www.bankingpdf.com 200 Quantitative Aptitude Questions Total=200+425=625 Required %= (475/625)*100=76% 6). Expenditure =140*(100/145) =Rs.96.55 cr. (approx) 7). Data inadequate 8). Income>2* expenditure profit should be more than 100% 9). Income=200*(150/100) =Rs.300 cr. 10). Answer: d) www.bankingpdf.com 200 Quantitative Aptitude Questions Preferences of People (In thousands) In Using Different Modes of Transport Over the Years 1. From 2001 to 2006, the total number of people who preferred to travel by rail, was how many thousands? a) 7900 b) 8300 c) 9100 d) 6300 e) None of these 2. What is the respective ratio of the number of people preferring to travel by rail in 2006 to the number of people preferring to travel by rail in 2002? a) 31 : 27 b) 31 : 23 c) 23 : 31 d) 27 : 31 e) None of these 3. In the year 2003, if all the buses reduced their rates by 40% and 50% of the people who preferred to travel by rail, now preferred buses, then how many people (in thousands) prefer to travel by bus? a) 1750 b) 1569 c) 1458 d) 1675 e) None of these 4. What is the respective ratio of the number of people preferring to travel bus to the number of people preferring to travel by rail in the year 2005? a) 29 : 27 b) 9 : 10 c) 27 : 29 d) 23 : 27 www.bankingpdf.com 200 Quantitative Aptitude Questions e) None of these 5. In 2003, the people preferring to travel by bus represented approximately what per cent of the people preferring to travel by own vehicles, buses and rails together in the year? a) 46 b) 54 c) 22 d) 14 e) 37 Answers 1. (a) Explanation: From 2001 to 2006, the total number of people who preferred to travel by rail = (1200 + 1150 + 1250 + 1300 + 1450 + 1550) = 7900 thousand 2. (b) Explanation: Required ratio = 1550 : 1150 = 31 : 23 3. (d) Explanation: Required number of people prefer to travel by bus = 1050 + 50100 of 1250 = 1050 + 625 = 1675 thousand 4. (c) Explanation: Required ratio: 1350: 1450 = 27: 29 5. (e) Explanation:People preferring to travel by bus in 2003 = 1050 People preferring to travel by own vehicles, buses and rails together in the year 2003 = 550 + 1050 + 1250 = 2850 Required = 1050 ×1002850 % = 36.84 % = 37% (Approx) Practice Quant Questions for Bank , Railway and LIC Exam. Directions: ( 1-5): Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years is shown by the line graph provided below. 1. A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. How much www.bankingpdf.com 200 Quantitative Aptitude Questions more interest would have been earned if the sum was invested in Company P? A.Rs 19,000 B.Rs.14, 250 C.Rs.11, 750 D.Rs. 9,500 E. None of these 2.If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio? A.2:3 B. 3:4 C.6:7 D. 4:3 E. None of these 3. In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P? A. Rs.9 lakh B. Rs.11 lakh C.Rs. 12 lakh D.Rs.18 lakh E. None of these 4. An investor invested a sum of Rs. 12 lakhs in Company P in 1998. The total amount received after one year was re-invested in the same Company for one more year. The total appreciation received by the investor on his investment was? A. Rs. 2, 96,200 B. Rs. 2, 42,200 C. Rs. 2, 25,600 D. Rs. 2, 16,000 E. None of these 5.An investor invested Rs. 5 lakhs in Company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. What amount will be received from Company P, by the investor? A. Rs. 5, 94,550 B. Rs. 5, 80,425 C. Rs. 5, 77,800 D. Rs. 5, 77,500 E. None of these Direction(6 – 10): The following line graph gives the annual percent profit earned by a Company during the period 1995 - 2000. Percent Profit Earned by a Company over the Years. www.bankingpdf.com 200 Quantitative Aptitude Questions %Profit = [(Income – Expenditure)/ (Expenditure)] x 100 6.If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is? A.1:1 B. 2:3 C.13:14 D. 9:10 E. None of these 7.If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998? A. Rs. 104 crores B. Rs. 145 crores C. Rs. 160 crores D. Rs. 185 crores E. None of these 8.In which year is the expenditure minimum? A. 2000 B. 1997 C. 1996 D. Cannot be determined E. None of these 9.If the profit in 1999 was Rs. 4 crores, what was the profit in 2000? A. Rs. 4.2 crores B. Rs. 6.2 crores C. Rs. 6.8 crores D. Cannot be determined E. None of these 10. What is the average profit earned for the given years? A. 50 2/3 B. 55 5/6 C. 60 1/6 D. 33 5/3 www.bankingpdf.com 200 Quantitative Aptitude Questions E. None of these ANSWERS 1. Answer: (D) DIFFERENCE = Rs. [(10% of 4.75) - (8% of 4.75)] = Rs. (2% of 4.75) lakhs = Rs. 0.095 lakhs = Rs. 9500. 2. Answer: (D) Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9xrespectively. Then, interest received after one year from Company P = Rs. (6% of 8x) = Rs. (48x/100) and interest received after one year from Company Q = Rs. (4% of 9x) = Rs. (36x/100) Required ratio = 4/3 3. Answer: (D) 4. Answer: (C) Amount received from Company P after one year (i.e., in 199) on investing Rs. 12 lakhs in it = Rs. [12 + (8% of 12)] lakhs = Rs. 12.96 lakhs. Appreciation received on investment during the period of two years = Rs. (14.256 - 12) lakhs = Rs. 2.256 lakhs = Rs. 2, 25,600 5. Answer: (B) Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year 1996 = Rs. [5 + (6.5% of 5)] lakhs = Rs. 5.325 lakhs. Amount received from Company P after one year on investment of Rs. 5.325 lakhs in the year 1997 = Rs. [5.325 + (9% of 5.325)] lakhs = Rs. 5.80425 lakhs = Rs. 5, 80, 425 6. Answer: (D) Let the expenditure in 1996 = x. Also, let the incomes in 1996 and 1999 be I1 and I2 respectively. Then, for the year 1996, we have: 55 =( I1 – x)/(x)*100 è I1= 155x/100 --- (1) 70 = ( I2 – x )/(x) * 100 è I2 = 170x/100 ----- (2) From (i) and (ii), we get: I1 /II2 = 155/170 @ 0.91/1 @ 9/10 7. Answer: (C) Let the expenditure is 1998 be Rs. x crores. www.bankingpdf.com 200 Quantitative Aptitude Questions Then, [65 =( 264 –x)/ x] * 100 x = 160 Expenditure in 1998 = Rs. 160 crores 8. Answer: (D) The line-graph gives the comparison of percent profit for different years. But the comparison of the expenditures is not possible without more data. Therefore, the year with minimum expenditure cannot be determined. 9. Answer: (D) From the line-graph we obtain information about the percentage profit only. To find the profit in 2000 we must have the data for the income or expenditure in 2000. Therefore the profit for 2000 cannot be determined. 10. Answer: (B) Average percent profit earned for the given years = (1/6) x [40 + 55 + 45 + 65 + 70 + 60] = 55 5/6 Read given below questions and understand the method of solving. It will help you how to solve age related questions in Exam. Basic Formula: If the present age of A is ‘x’ years, the age of A, n years ago was (x-n) years, and the age of a after n years will be (x+n) years. 1. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev ? Sol. Let Rajeev's present age be x years. Then, Rajeev's age after 15 years = (x + 15) years. Rajeev's age 5 years back = (x - 5) years. Therefore x + 15 = 5 (x - 5) x + 15 = 5x - 25 4x = 40 x = 10. Hence, Rajeev's present age = 10 years. 2. The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages. Sol. Let the age of the younger person be x years. Then, age of the elder person = (x + 16) years. Therefore 3 (x - 6) = (x + 16 - 6) 3x -18 = x + 10 2x = 28 x = 14. Hence, their present ages are 14 years and 30 years. www.bankingpdf.com 200 Quantitative Aptitude Questions 3. The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit's age by 4 years, what is Nikita's age? Sol. Let Ankit's age be x years. Then, Nikita's age = 240/x years. 2 * (240 /x ) – x = 4 480 – x2 = 4x x2 + 4x – 480 = 0 ( x+24)(x-20) = 0 x = 20. Hence, Nikita's age = 240/x = 240/20 years = 12 years. 4. The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father. Sol. Let the son's present age be x years. Then, father's present age = (3x + 3) years (3x + 3 + 3) = 2 (x + 3) + 10 3x + 6 = 2x + 16 x = 10. Hence, father's present age = (3x + 3) = ((3 * 10) + 3) years = 33 years. 5. Rohit was 4 times as old as his son 8 years ago. After 8 years, Rohit will be twice as old as his son. What are their present ages? Sol. Let son's age 8 years ago be x years. Then, Rohit's age 8 years ago = 4x years. Son's age after 8 years = (x + 8) + 8 = (x + 16) years. Rohit's age after 8 years = (4x + 8) + 8 = (4x+ 16) years. 2 (x + 16) = 4x + 16 2x = 16 => x = 8. Hence, son's 'present age = (x + 8) = 16 years. Rohit's present age = (4x + 8) = 40 years. 6. One year ago, the ratio of Gaurav's and Sachin's age was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is Sa chin ? Sol. Let Gaurav's and Sachin's ages one year ago be 6x and 7x years respectively. Then, Gaurav's age 4 years hence = (6x + 1) + 4 = (6x + 5) years. Sachin's age 4 years hence = (7x + 1) + 4 = (7x + 5) years. (6x+5): (7x + 5) = 7:8 8(6x+5) = 7 (7x + 5) 48x + 40 = 49x + 35 x = 5. Hence, Sachin's present age = (7x + 1) = 36 years. 7. The Ratio of Ages of Mona and Sona is 4:5. Twelve Years hence, their ages will be in the ratio of 5:6. What will be Sona's age after 6 years ? Sol. Let their present ages be 4x & 6x Then (4x + 12)/(5x + 12) = 5/6 or x=12 Sona's age after 6 years = (5x +6) = 66 years 8. Ramu was 4 times as old as his son 8 years ago. After 8 years, Ramu will be twice as old as his son. What their present ages ? Sol. Let son's age 8 years ago be x years www.bankingpdf.com 200 Quantitative Aptitude Questions Then Ramu's age at that time = 4x years Son's age after 8 years = (x +8) + 8 = (x + 16) years Ramu's age after 8 years = (4x + 8) + 8 = (4x + 16) years 2(x + 16) = 4x + 16 or x=8 Son's present age = (x + 8) = 16 years Ramu's present age= (4x + 8) = 40 years 9. A man is four times as old as his son. Five years ago, the man was nine times as old his son was at that time. What is the present age of a man ? Sol. Let son's age = x, then man's age =4x. 9(x - 5) = (4x-5) or x=8. Man's present age = (4x + 7) = 35 years 10. The sum of ages of Aruna and her mother is 49 years. Also, 7 years ago, the mothers age was 4 times Aruna's age. Find the present age of Aruna's mother. Sol. Let Aruna's age 7 years ago be x. Mother's age 7 years ago = 4x (x + 7) + (4x + 7) =49 or x=7 Mother's present age = (4x + 7) = 35 years 12. The ages of A and B differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages. Sol. Let A's age = x & B's age = (x + 16) 3(x - 6) = (x + 16 - 6) or x=14 A's age = 14 years & B's age = 30 years. Directions (Q.1-5): Study the radar graph carefully and answer the questions given below: The number of passengers travelled (in lakhs) in four different trains in different years 1.In which train is the number of passengers travelled the maximum during the eight years? 1) Shatabdi Exp 2) Sapt Kranti Exp www.bankingpdf.com 200 Quantitative Aptitude Questions 3) Sampark Kranti Exp 4) Either Sampark Kranti Exp or Sapt Kranti Exp 5) Rajdhani Exp 2.If the fare of Shatabdi Exp is Rs. 400 for all classes of passenger and the fare of Sampark Kranti Exp is 20% more than that of Shatabdi Exp, then what is the ratio of the income of Shatabdi Exp in 2012 to that of Sampark Kranti Exp in 2013? 1) 1 : 2 2) 2 : 1 3) 1 : 1 4) 3 : 2 5) 5 : 6 3.What is the difference between the number of passengers of Sapt Kranti Exp in 2011 and that of Rajdhani Exp in 2006? 1) 1.5 lakh 2) 1 lakh 3) 0.5 lakh 4) 0.75 lakh 5) 0.9 lakh 4.The total number of passengers in 2010 is what per cent of the total number of passengers in 2013? 1) 64.66% 2) 72.33% 3) 80.66% 4) 66.67% 5) 70.25% 5.If the fare of Rajdhani Exp is Rs. 350 and that of Sapt Kranti Exp is Rs. 450 for all classes of passenger then what is the total income of both the trains during 2011 to 2013? 1) Rs. 95 crore 2) Rs. 98 crore 3) Rs. 90 crore 4) Rs. 89 crore 5) Rs. 92.5 crore Directions (6-10) : Study the bar graph and pie-chart carefully and answer the following questions.The bar graph shows the number of people of different religions in six different countries www.bankingpdf.com 200 Quantitative Aptitude Questions The pie-chart show the percentage of the total land in different countries& total land = 50 lakh square kilometres 6.In the given countries the population of which religion is the maximum? 1) Muslim 2) Other religions 3) Christian 4) Either Christian or Muslim 5) Both Muslim and Other religions 7.Which country has the minimum population density? 1) Syria 2) Egypt 3) Somalia 4) Sudan www.bankingpdf.com 200 Quantitative Aptitude Questions 5) Maldives 8.The population of Muslims in Kenya is what per cent of the population of Christians in Somalia? 1) 325% 2) 225% 3) 125% 4) 25% 5) 12.5% 9.Which country has the maximum population? 1) Kenya and Sudan 2) Maldives 3) Sudan 4) Somalia 5) Kenya 10.The annual rate of decrease in the population of Muslims, Christians and Other religions is 20%, 50% and 50% respectively. What was the population of Maldives two years ago? 1) 79.23 lakh 2) 121.25 lakh 3) 271.25 lakh 4) 242.2 lakh 5) none of these Answers Directions (Q. 1 - 5): The following questions have a series of numbers based on a definite pattern. Guess the pattern and identify the next number which should come in the series. 1. 3628800, 907200, 100800, 6300, 252 1) 117 www.bankingpdf.com 200 Quantitative Aptitude Questions 2) 109 3) 27 4) 15 5) 7 2. 41419, 5916, 985, 196, 48 1) 10 2) 12 3) 15 4) 21 5) 30 3. 95, 60, 36, 21, 13 1) 11 2) 10 3) 12 4) 9 5) 8 4. 450, 233, 107, 42, 14 1) 8 2) 10 3) 5 4) 7 5) 11 5. 125, 117, 108, 100, 91 1) 80 2) 78 3) 85 4) 86 5) 83 6. Ravi, Rakesh and Vijay invest in a partnership in the ratio 7/2, 4/3, 6/5 respectively. After 4 months, Ravi increases his share 50%. If the total profit at the and of one year be Rs. 32,400, then what is Rakesh's share in the profit? 1) Rs. 2000 2) Rs. 3000 3) Rs. 4000 4) Rs. 5000 5) Rs. 6000 7. If the number 481 * 637 is completely divisible by 9, what is the smallest number in place of * ? 1) 3 2) 7 3) 5 4) 9 5) 2 www.bankingpdf.com 200 Quantitative Aptitude Questions 8. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what is the remainder ? 1) 2 2) 3 3) 4 4) 5 5) 7 9. A shopkeeper has 2 cans of milk. The first contains 30% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the cans so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? 1) 5 lit, 7 lit. 2) 9 lit, 3 lit. 3) 7.5 lit, 4.5 lit. 4) 4 lit, 8 lit. 5) None of these 10. There are 6 working days in a regular week and for each day, 10 hours is working hours. A woman earns Rs. 2.10 per hour. For regular work and Rs. 4.20 per hour for overtime. If he earns Rs. 525 in 4 weeks, how many hours did she work ? 1) 245 2) 225 3) 275 4) 255 5) 235 1. 5 ÷ 2^2, ÷3^2, ÷4^2, ÷5^2, ÷6^2 2. 3 (-7 ÷ 7), (-6 ÷ 6), (-5 ÷ 5), (-4 ÷ 4), (-3 ÷3) 3. 2 (+1 - 6^2 ), (+1 -5^2), (+1 - 4^2), (+1 - 3^2), (+1 - 2^2) 4. 3 (-6^3 - 1), (-5^3 - 1), (-4^3 -1), (-3^3 - 1), (-2^3 -1) 5. 5 -8, -9 Repeated in alternate series 6. 5 7. 2 8. 4 9. 3 www.bankingpdf.com 200 Quantitative Aptitude Questions 10. 1 Direction : (1-5): Study the following graph and answer the given questions : The line graph shows percentage profit earned by two companies over the given years. % Profit = (Income - Expenditure)/ Expenditure * 100 1. What was the difference in the expenditure of the two companies in 2007? 1) 10 2) 100 3) 1000 4) Can’t be determine 5) None of these 2. The income of company M in 2010 is Rs. 128 crores. What was its expenditure in that year? 1) Rs. 76.8 crores 2) Rs. 64 crores 3) Rs. 48 crores 4) Can’t be determined 5) None of these 3. The expenditure of company L in 2005 is Rs 40 crores. Find the income of company L in the same year ? 1) Rs. 50 Crore 2) Rs. 48 crore 3) Rs. 46 crore 4) Can’t be determined 5) None of these 4. If the income of both the companies are the same in the year 2008, find out the ratio of their expenditure? 1) 27 : 26 2) 26 : 27 3) 30 : 35 www.bankingpdf.com 200 Quantitative Aptitude Questions 4) 7 : 6 5) None of these 5. Find the percentage change in profit of company M in 2007 from the previous year. 1) 50% increase 2) 20% increase 3) 10% increase 4) 10% decrease 5) None of these Follow the direction given below for question 6-9 A woman divided her salary in the ratio of 5:3:4 for travelling, shopping and accommodation. She spends 60% of her traveling budget on air ticket, 25% on bus ticket and keep the remaining amount as savings. She spends 60 % of her shopping budget amount in duty free shopping and remaining in domestic shopping. And she spends 3/12th part of total hotel accommodation amount in eating and 1/3rd and 1/4th part of accommodation amount in drinking and hotel rent and save the remaining amount. 6. If she saves 17000 rupees then what is the total amount she had at the starting? (a) 1.50 Lakhs (b) 1.44 Lakhs (c) 1.96 Lakhs (d) 2.02 Lakhs (e) 1.25 Lakhs 7. If she spends 3000 Rs in air travelling then what is amount she saves from the hotel accommodation? (a) 633.37 (b) 666.67 (c) 650 (d) 625 (e) 634.34 8. If she spends 1000 Rs more for the shopping then what is the percentage of duty free shopping from the total amount she spends, if she had 24000 at the starting. (a) 18.4% (b) 16.3% (c) 15.6% (d) 12.6% (e) 19.1% 9. If she spends 15000 in travelling, then what is the ratio between the total amount spend in drinking and duty free shop to the total amount spend in hotel rent and air ticket travel. (a) 2 : 3 (b) 5 : 6 (c) 8 : 11 (d) 4 : 5 www.bankingpdf.com 200 Quantitative Aptitude Questions (e) None of these Answers: 1. 4; Can’t be determined 2. 5; Expenditure = 128 * 100/160 = 80cr 3. 2; Income = 40 * 120/100 = 48 crore. 4. 2; Ratio of Expenditure = 135 : 130 = 26 : 27 5. 1; %Profit increrase = 10/20 * 100 = 50% 6. Let the salary of the woman be Rs 1200 500x 300x 400x Air ticket 300x Eating – 100x Bus ticket 125x Duty Free = 180 x Drinking → 400/3 x Shopping Saving 75x Domestic shopping Hotel rent = 100x = 120x Saving = 200/3 x Sol1 (b) Saving = 75 + 200/3 x = 425x/3=17000 x =(17000×3)/425 x = 120 Total amount she had at the starting = 1200 × 120 = 144000=1.44LAKH 7. sol (b)300x = 3000 X = 10 Amount she save from the hotel = (200/3)×10 = 2000/3 Rs. 8. www.bankingpdf.com 200 Quantitative Aptitude Questions 9. (b) 5 : 6 (c) 8 : 11 (d) 4 : 5 (e) None of these 1.A shopkeeper sells two watches for Rs 308 each. On one watch he earns 12% profit and on the others he suffers 12% loss. His profit or loss in the entire transaction was: 1. 1(11/25)% loss 2. 1(11/25)% gain 3. 3(2/25)% loss 4. 3(2/25)% gain 2.A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs 517.50 for it then A purchased it at: 1. Rs 500 2. Rs 750 3. Rs 1000 4. Rs 1250 3.By selling 100 oranges, a vendor gains the selling price of 20 oranges. His gain per cent is: 1. 20 2. 25 3. 30 4. 32 4.A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at Rs 846. The original marked price of the fan www.bankingpdf.com 200 Quantitative Aptitude Questions is: 1. Rs 1000 2. Rs 900 3. Rs 850 4. Rs 896 5.A sells an article to B making a profit of 1/5 th his outlay. B sells it to C, gaining 20%. If C sells it for Rs 600 and incurs a loss of 1/6 th his outlay, the cost price of A is: 1. Rs 600 2. Rs 500 3. Rs 720 4. Rs 800 6.The profit earned after selling a wrist watch for Rs 4,080 is the same as the loss incurred after selling the same wrist watch for Rs 3,650. What is the cost price of the wrist watch? 1. Rs 3,785 2. Rs 3,800 3. Rs 3,775 4. Rs 3,865 7.Kamya purchased an item for Rs 46,000 and sold it at a loss of 12 per cent. With that amount she purchased another item which he sold at a gain of 12%. What was her overall gain/loss? 1. Loss of Rs 662.40 2. Profit of Rs 662.40 3. Loss of Rs 642.80 4. Profit of Rs 642.80 8.A shopkeeper sells notebooks at the rate of Rs 457 each and earns a commission of 4%. He also sells pencil boxes at rate of Rs80 each and earns a commission of 20%. How much amount(approximately) of commission will he earn in two weeks if he sells 10 notebooks and 6 pencils boxes a day? 1. Rs 1,956 2. Rs 1,586 3. Rs 1,496 4. Rs 3900 9.A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per Kg. He sold 40% of the total quantity at the rate of Rs 50 per Kg. Approximately, at what price per Kg should he sell the remaining quantity to make 25 per cent overall profit? 1. Rs 54 2. Rs 52 3. Rs 50 4. Rs 60 10.Profit earned by an organization is distributed among officers and clerks in the ratio of 5 : 3. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs 25,000, what was the total amount of profit earned? 1. Rs 22 lakh www.bankingpdf.com 200 Quantitative Aptitude Questions 2. Rs 18.25 lakh 3. Rs 18 lakh 4. Rs 23.25 lakh Answers 1. 2. 3. 4. 5. www.bankingpdf.com 200 Quantitative Aptitude Questions 6. 7. 8. 9. 10. Directions (Q. 1 - 5) : In the following questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer: 1) If x > y 2) If x >= y www.bankingpdf.com 200 Quantitative Aptitude Questions 3) If x < y 4) If x