PDF StudyIQ Ratio & Proportion Question Bank for bank po and ssc exams
April 2, 2017 | Author: Study IQ | Category: N/A
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Ratio & Proportion Exercises
Abhishek Jain
1. If A: B=3:4 and B: C=8:9, then find the value of A: B: C a. 3:4:9 b. 3:8:9 c. 6:8:9 d. 2:4:7 e. None of these 2. If a: b=b:c then ratio a4:b4=? a. a3:c2 b. a4:c2 c. a4:c4 d. a2:c2 e. None of these 3. If a/7=b/9=c/11 then find a: b: c a. 3:4:9 b. 3:8:9 c. 6:8:9 d. 7:9:11 e. None of these 4. If A = 1/4 B and B = 1/2 C, then find the value of A: B: C. a. 3:4:9 b. 1:4:8 c. 6:8:9 d. 2:4:7 e. None of these 5. If (a+b) : (a-‐b)=5:3, then (a2+b2) : (a2-‐b2)=? a. 13:15 b. 15:13 c. 17:15 d. 15:17 e. None of these 6. The total number of students in a school is 2140. If the number of girls in the school is 1200, what is the ratio of the total number of boys to the total number of girls in the school? a. 47:60 b. 15:13 c. 60:47 d. 15:17 e. None of these 7. The average age of a person and his son is 30 yr. The ratio of their ages is 4:1 respectively. Find the age of son a. 20yr b. 16yr c. 14yr d. 12yr e. None of these 8. Rahul obtained 12 marks more than that of Tanvi. If the ratio of their marks is 3:4, find the sum of their marks a. 96 b. 84 c. 7 d. 12 e. None of these 9. One-‐half of a certain number is equal to 65% of the 2nd number. Find the ratio of 1st to 2nd number a. 13:10 b. 15:13 c. 10:13 d. 15:17 e. None of these 10. The total weight of Sanjay and Suresh is 120 kg. If Sanjay weights 30 kg more than Suresh, what is the ratio of the weights of Suresh to that of Sanjay? a. 3:5 b. 5:3 c. 7:5 d. 5:7 e. None of these
11. Present age of Meena is 8 times of her daughter’s age. 8 yr hence, the ratio of the ages of Meena and her daughter will be 10:3. Find the present age of Meena a. 20yr b. 32yr c. 14yr d. 28yr e. None of these 12. Amit and Suresh have invested in the ratio of 4:7. If both invested a total amount of Rs. 49500, then find the investment of Suresh a. 3150 b. 31500 c. 1500 d. 3500 e. None of these 13. The present ratio of ages of A and B is 4:5. 18 yr ago, this ratio was 11:16. Find the sum of the present ages of A and B a. 90yr b. 75yr c. 60yr d. 54yr e. None of these 14. The ratio of the ages of a father to that of his son is 5:2. If the product of their ages in yr is 1000, then find the father’s age after 10 yr a. 90yr b. 75yr c. 60yr d. 54yr e. None of these 15. If 70% of a number is equal to three-‐fifth of another number, what is the ratio between the 1st and the 2nd number, respectively? a. 6:7 b. 5:3 c. 7:5 d. 5:7 e. None of these 16. In a class, the number of boys and girls is in the ratio of 4:5. If 10 more boys join the class, the ratio of numbers of boys and girls becomes 6:5. How many girls are there in the class? a. 20 b. 25 c. 35 d. 45 e. None of these 17. The sum of the ages of a father and his son is 100 yr now. 5 yr ago, their ages were in the ratio of 2:1. Find the ratio of the ages of father and son after 10 yr a. 6:7 b. 5:3 c. 7:5 d. 5:7 e. None of these 18. The total number of students in a school is 8670. If the number of boys in the school is 4545, what will be the ratio of the total number of girls in the school? a. 303:275 b. 275:303 c. 7:5 d. 5:7 e. None of these 19. The average age of a woman and her daughter is 16 yr. The ratio of their ages is 7:1. What is the woman’s age? a. 28yr b. 35yr c. 21yr d. 14yr e. None of these
20. The ages of Vaibhav and Jagat are in the ratio of 12:7. After 6 yr, the ratio of their ages will be 3:2. What is the difference in their ages? a. 10yr b. 25yr c. 30yr d. 49yr e. None of these 21. The average age of a man and his two twin sons born on the same day is 30 yr. The ratio of the ages of father to one of his sons is 5:2. What is the father’s age? a. 90yr b. 75yr c. 60yr d. 50yr e. None of these 22. A sum of money is divided amongst A, B, C and D in the ratio of 3:7:9:13. If the share of B is Rs. 4872, what will be the total amount of money of A and C together? a. 8352 b. 8356 c. 8350 d. 8348 e. None of these 23. The speeds of three cars are in the ratio of 2:3:4. Find the ratio between the time taken by these cars to cover the same distance a. 6:4:3 b. 3:8:9 c. 6:8:9 d. 2:4:7 e. None of these 24. The ratio of angles of a triangle is 3:2:1 and the largest angle is 90°. Find the difference between the largest and smallest angles a. 60° b. 90° c. 45° d. 75° e. None of these 25. The ratio between the present ages of Punit and Suresh is 4:5 respectively. After 7 yr Punit’s age will be 31 yr. What was Suresh’s age four years ago? a. 26yr b. 24yr c. 18yr d. 16yr e. None of these 26. In a town, 80% of the populations are adults of which the men and women are in the ratio of 9:7, respectively. If the number of adult women is 4:2 lakhs, what is the total population of the town? a. 24yr b. 36yr c. 48yr d. 12yr e. None of these 27. Mr. Shrimant inherits 2505 gold coins and divides them amongst his three sons. Bharat, Parat and Marat, in a certain ratio out of the total coins received by each of them, Bharat Sells 30 coins, Parat donates his 30 coins and Marat losses his 25 coins. Now, the ratio of gold coins with them is 46:41:34 respectively. How many coins did Parat receive from his father? a. 800 b. 600 c. 850 d. 900 e. None of these
28. Rs. 600 are divided among A, B and C such that Rs 40 more than 2/5th of A’s share, Rs 20 more than 2/7 th of B’s share and Rs 10 more than 9/17 th of C’s share, all are equal. What is B’s share? a. 250 b. 300 c. 270 d. 280 e. None of these 29. Perimeter of a rectangle is 40 cm and the length and the breadth are in the ratio of 3:2 respectively. What is the area of rectangle is sq cm? a. 84 b. 75 c. 96 d. 48 e. None of these 30. The expensive on rice, fish and oil of a family are in the ratio of 12:17:3. The prices of these articles are increased by 20%, 30% and 50%, respectively. Find the total percentage increase in the expenses of the family a. 28 1/8% b. 28 1/9% c. 28 5/8% d. 28 3/8% e. None of these 31. Salary of Mr. X is 80% of the salary of Mr. Y and the salary of Mr. Z is 120% of the salary of Mr. X. What is the ratio between the salaries of X,Y,Z respectively? a. 33:14:29 b. 30:28:19 c. 16:38:19 d. 20:25:24 e. None of these 32. If the positions of the digits of a two-‐digit number are interchanged, the number newly formed is smaller than the original number by 45. Also, the ratio of the new number to the original number is 3:8. What is the original number? a. 72 b. 75 c. 96 d. 48 e. None of these 33. The ratio of water and spirit in the mixture is 1:3. If the volume of the solution is increased by 25% by adding spirit only, what is the resultant ratio of water and spirit? a. 1:3 b. 4:1 c. 1:4 d. 5:7 e. None of these 34. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speeds of the cat to that to the dog? a. 15:34 b. 14:15 c. 15:16 d. 15:17 e. None of these 35. In the month of January, Arun’s income and expenses were Rs. 15000 and Rs 9000 respectively. His monthly expenses vary directly as
the square of his monthly income. What is his income when it just equals his expenses? a. 24000 b. 25000 c. 16000 d. 20000 e. None of these 36. Two vessels P and Q contain milk and water mixed in the ratios of 5:3 and 2:3, respectively. When these mixtures are mixed to form a new mixture containing half milk and half water, then find the ratio in which P and Q are mixed? a. 1:3 b. 4:5 c. 1:4 d. 5:7 e. None of these 37. Rs 5625 are divided amongst A, B and C so that A receives 1/2 as much as B and C together receive and B receive 1/4 as much as A and C together receives. Find the sum of shares of A and B a. 4000 b. 5000 c. 1000 d. 3000 e. None of these 38. Rs 710 were dividing amongst A, B and C in such a way that A had Rs 40 more than B and C had Rs 30 more than A. How much was C’s share? a. 200 b. 250 c. 270 d. 300 e. None of these 39. The ratio of 1st and 2nd classes train fairs between two stations is 3:1 and that of the number of passengers travelling between these stations by 1st and 2nd classes is 1:50. If on a particular day, Rs 2650 be collected from the passengers travelling between these stations, then find the amount collected from 2nd class passengers a. 2500 b. 1500 c. 1000 d. 2000 e. None of these 40. The ratio of the number of students studying in schools A, B and C is 5:6:8. If the number of students in each of the schools is increased by 30%, 25% and 25%, respectively, what will be the new ratio of the numbers of students in schools A, B and C? a. 13:14:29 b. 13:15:20 c. 16:38:19 d. 20:25:24 e. None of these 41. In a college, the number of students studying History, Economics and Mathematics are in the ratio of 4:7:9. If the number of students a History, Economics and Mathematics be increased by 30%, 20% and 40% respectively, what will be the new ratio? a. 13:14:29 b. 13:15:20 c. 16:38:19 d. 26:42:63 e. None of these
42. Ruchi’s father was 38 yr old when she was born while her mother was 36 yr old when her brother was born who is 4 yr younger to her. What is the difference between the ages of her parents? a. 4yr b. 6yr c. 8yr d. 2yr e. None of these 43. The difference between the two adjacent angles of a parallelogram is 20°. What would be the ratio between the smaller and the larger angles of the parallelogram respectively? a. 1:3 b. 4:5 c. 1:4 d. 5:7 e. None of these 44. There are two triangles A and B. The angles of triangle A are in the ratio of 3:4:5 and the angles of triangle B are in the ratio of 5:6:7. What is the difference between largest angle of triangle A and the smallest angle of triangle B? a. 25° b. 20° c. 40° d. 15° e. None of these 45. The capacities of two glasses are same. They are filled with 2/3 rd part and 2/5 th part of water, respectively. Remaining part of both the glassed are filled with milk. If mixtures of both the glasses are mixed in a big glass, what is the ratio of water and milk in it? a. 8:7 b. 4:5 c. 1:4 d. 5:7 e. None of these 46. Rs. 2186 are distributed amongst A, B and C. If money given to them is decreased by Rs 26, Rs 28 and Rs 32 respectively, then they have money in the ratio of 9:13:8. What is the amount given to A? a. 566 b. 665 c. 656 d. 156 e. None of these 47. A person gave 2/5 th part of his income to his elder son and 30% part to his younger son. He saved his remaining money in three trusts A, B and C in the ratio of 3:5:2. If difference between the amounts got by his both sons is Rs 2000. How much amount he saved in trust C? a. 1800 b. 800 c. 1600 d. 1200 e. None of these 48. In a factory, the ratio of the numbers of employees of three types A, B and C is 9:13:18 and their wages are in the ratio of 10:7:4. If number of employees of type C is 54 and wages of every employees of type B is Rs 1400, then find the total wages of all the employees a. 18000 b. 36000 c. 54000 d. 12000 e. None of these
49. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14. Find C a. 8 b. 6 c. 4 d. 2 e. None of these 50. Number of employees in a factory decreases in the ratio of 8:7 and salary of employees increases in the ratio of 5:6. Find weather the total salary given to the employees is increased or decreased and in what ratio? a. 21:20 deacreased b. 20:21 deacreased c. 20:21 deacreased d. 20:21 increased e. None of these 51. If a/3=b/5=c/7 , then find the value of (a+b+c)/b a. 3 b. 6 c. 4 d. 2 e. None of these 52. A profit of Rs. 7,200 is to be distributed among A, B and C in the ratio of 3:2:1. The difference between the amounts received by A and C is a. 1800 b. 3600 c. 5400 d. 2400 e. None of these 53. The ratio of the prices of three different types of cars is 4:5:7. If the difference types the prices of costliest and the cheapest car is Rs. 6000, what is the price of the car of moderate price? a. 1,00,000 b. 1,20,000 c. 2,40,000 d. 1,50,000 e. None of these 54. A certain amount was divided between Salim and Rahim in the ratio of 4:3. If Rahim’s share was Rs. 24000, find out the amount a. 18000 b. 56000 c. 54000 d. 24000 e. None of these 55. karan got twice as many marks in English as in Science. His Total marks in English, Science and Maths are 180. If the proportion of his marks in English and Maths is 2:3, what are his marks is science? a. 30 b. 60 c. 40 d. 20 e. None of these 56. An amount is to be divided among a, B and C in the ratio 3:5:6 respectively. If the difference between A and B’s share is Rs. 600. What is C’s share? a. 1800 b. 4800 c. 1200 d. 2400 e. None of these 57. A’s share in a business is 3/4 th of B’s share. B got a profile of Rs. 1,200 by investing Rs. 40,000 in the business. What will be the ratio of A’s profit to his investment in the business? a. 18:23 b. 9:400 c. 400:9 d. 23:18 e. None of these
58. Rs. 4800 is distributed among A, B and C in the ratio of 6:5:4. The difference between shares of A and C is a. 600 b. 640 c. 300 d. 320 e. None of these 59. The price of a scooter and a moped are in the ratio of 7:4. If a scooter costs Rs. 3600 more than a moped, what is the price of a moped? a. 4600 b. 4800 c. 3000 d. 3200 e. None of these 60. A started with Rs. 4500 and B joined afterwards with Rs. 3000. If the profits at the end of one year were divided in the ratio 2:1 respectively, then B would be a. 3 months b. 6 months c. 4 months d. 2 months e. None of these 61. Two numbers are in the ratio 5:9 with the addition of 9 their ratio becomes 16:27. Then sum of the two numbers would be a. 144 b. 99 c. 55 d. 199 e. None of these 62. The price of a scooter and a T.V set are in the ratio of 3:2. If the scooter costs Rs. 6,000 more than the T.V. set, what is the price of the T.V. set? a. 18000 b. 48000 c. 12000 d. 24000 e. None of these 63. An amount of money is to be distributed among A, B and C in the ratio of 2:5:7. If the total of A’s and B’s share is Rs. 4900 what is the difference between B’s and C’s share? a. 1400 b. 4800 c. 1200 d. 2400 e. None of these 64. An amount is to be divided among A, B and C in the ratio 3:5:6 respectively. If the difference between A and B’s share is Rs. 600. What is C’s share? a. 1400 b. 1800 c. 1200 d. 2400 e. None of these 65. Find out the ratio whose value is 2/3 and the antecedent is 18 a. 18:27 b. 9:400 c. 400:9 d. 23:18 e. None of these 66. 2/3:5/6∷8/7: What number? a. 11/7 b. 10/3 c. 10/7 d. 12/7 e. None of these
67. A : B = 2 : 3, B : C = 4 : 5, C : D = 6 : 7 find the ratio of A and D? a. 16:27 b. 16:35 c. 35:16 d. 23:18 e. None of these 68. Two equal glasses are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. Find the ratio of milk and water in the tumbler a. 18:27 b. 9:400 c. 7:17 d. 23:18 e. None of these 69. If in 30 litre mixture of milk and water the ratio of milk and water is 7:3, find out the quantity of water to mix in order to make this ratio 3:7 a. 60 litres b. 15 litres c. 10 litres d. 40 litres e. None of these 70. In a big there are coins of 25 paisa, 10 paisa and 5 paisa in the ratio 1:2:3. If there are in all Rs. 30, how many 5 paisa coins are there? a. 140 b. 150 c. 120 d. 240 e. None of these 71. Shyam has a sister who is half of his age. When Shyam double, what will be the ratio of his age to his sister’s age? a. 4/3 b. 5/3 c. 3/5 d. 3/4 e. None of these 72. On a certain railway the first and second class fares are 7 paisa and e paisa per kilometer respectively. A man who travelled 100 km spent Rs. 3.40 in going part of distance by first class and the in second class. How many kilometers did he travel in first class? a. 14 b. 15 c. 12 d. 10 e. None of these 73. Ratio of A’s age to B’s first equal to 4:3. A will be 26 years old after 6 years, how old is B now? a. 14 yrs b. 15 yrs c. 12 yrs d. 10 yrs e. None of these 74. 25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in 5 days. How many boys must help 40 men to do the same work in 4 days? a. 14 b. 15 c. 12 d. 10 e. None of these 75. A contractor took a contract for building 12 kilometer road in 15 days and employed 100 laboures on the work. After 9 days he found that only 5 kilometer road had been constructed. How many more laboures
should be employed to ensure that the work may be completed within the given time? a. 144 b. 105 c. 120 d. 110 e. None of these 76. What numbers has 5 to 1 ratio to the number 10? a. 40 b. 50 c. 20 d. 10 e. None of these 77. 15 men do a work in 20 days. In how many days will 20 men do the full work? a. 14 b. 15 c. 12 d. 10 e. None of these 78. Three persons start business and make profit of Rs. 1180. If their capitals are as 1/5:1/6:1/8 how should the profit be divided? a. 480,400,350 b. 480,450,350 c. 480,400,300 d. 450,400,350 e. None of these 79. A, B and C purchased the mangoes in a ratio 5:3:2. If the difference of mangoes of A and C is 60, find out the total number of mangoes purchased by them a. 400 b. 500 c. 200 d. 100 e. None of these 80. A company makes a profit of Rs. 450. Out of this 20% is paid for taxes and the rest be divided among its partners A, B and C in proportion of 1 : 11/2:2 Find the share of each a. 480,400,350 b. 80,120,160 c. 480,400,300 d. 450,400,350 e. None of these 81. A garrison of 2,200 men has provision for 16 weeks at the rate of 45 gm per day per man. How many men must leave so that the same provision may last for 24 weeks at 33 gm per day per man? a. 400 b. 500 c. 200 d. 100 e. None of these 82. If 5 men can do a piece of work in 20 days, in how many days will 10 men and 5 boys do the same work if 1 man does as much work as 2 boys? a. 4 b. 5 c. 2 d. 8 e. None of these
83. In 21 cows eat as much as 15 oxen, how many cows will eat as much as 25 oxen? a. 34 b. 35 c. 32 d. 30 e. None of these 84. There are three containers of equal capacity. First container is half full, the second is one third full and the third is empty. If all the water in the containers is divided equally among the containers, what part of the third container will be full? a. 1/4 b. 5/8 c. 5/18 d. 18/5 e. None of these 85. The annual incomes of two persons are in the ratio 9:7 and their expenses are in the ratio 4:3. If each of them saves Rs. 2000 per year, then their annual incomes are a. 14000 and 18000 b. 15000 and 12000 c. 12000 and 15000 d. 10000 and 15000 e. None of these 86. A person divider Rs. 10,800 among his 3 sons in the ratio 3:4:5. Second son kept Rs. 1000 for himself, gave Rs. 600 to his wife, and divided the remaining money among his 2 daughters received a. 1400 b. 1500 c. 1200 d. 1100 e. None of these 87. In a school the number of boys and that of the girls are in the respective ratio of 2:3. If the number of boys is increased by 20% and that of girls is increased by 10%, what will be the new ratio of number of boys to that of the girls? a. 8:11 b. 9:400 c. 400:9 d. 23:18 e. None of these 88. Income of two companies A and B are in the ratio of 5:8. Had the income of company A been more by Rs. 25 lakhs, the ratio of their incomes would have been 5:4 respectively. What is the income of company B? a. 34 lakhs b. 35 lakhs c. 40 lakhs d. 34 lakhs e. None of these 89. A total of 91 boys are seated in three rows. The ratio between the number of boys seated in the first and the second row is 5:2 respectively and the ratio between the number of boys seated in the second and
third row is 1:3 respectively. How many boys were there in the second row? a. 14 b. 15 c. 12 d. 10 e. None of these 90. The ratio of the income of A and B as also those of B and C is 3:2 If a third of A’s income exceeds a fourth of C’s income by Rs. 1000, What is B’s income? a. 4000 b. 1000 c. 2000 d. 3000 e. None of these 91. A sum of money is divided among 160 males and some females in the ratio 16:21. Individually each male gets Rs. 4 and each female Rs. 3. The number of females is a. 280 b. 150 c. 250 d. 270 e. None of these 92. The monthly incomes of two persons are in the ratio 4:7, and their expenses are in the ratio 11:20. If each of them saves Rs.400 per month, then their monthly income must be respectively a. 4800 and 4200 b. 4800 and 8400 c. 4800 and 54000 d. 10000 and 15000 e. None of these 93. Divide Rs. 1250 among A, B and C so that A gets 2/9 of B’s share and C gets 3/4 of A’s share Find A’s , B’s and C’s share a. Rs. 200 , Rs. 950 , Rs. 150 b. Rs. 200 , Rs. 900 , Rs. 150 c. Rs. 250 , Rs. 950 , Rs. 150 d. Rs. 200 , Rs. 950 , Rs. 100 e. None of these 94. Rs. 180 contained in a box consists of one-‐rupee, 50-‐paisa and 25 paisa coins in the ratio 2:3:4. What is the number of 50-‐paise coins? a. 280 b. 150 c. 250 d. 120 e. None of these 95. The students in three classes are in the ratio 2:3:5. If 20 students are increased in each class, the ratio changes to 4:5:7. The total numbers of students before the increase were a. 100 b. 150 c. 250 d. 270 e. None of these
96. If 378 coins of one rupee, 50-‐paisa and 25-‐paisa coins whose values are in the ratio of 13:11:7, the number of 50-‐paisa coins will be a. 280 b. 150 c. 132 d. 270 e. None of these 97. The ratio of the number of boys to that of girls in a school is 4:1. If 75% of boys and 70% of the girls are scholarship-‐holders, then the percentage of students who do not get scholarship is: a. 28 b. 26 c. 25 d. 27 e. None of these 98. A total profit of Rs. 3,600 is to be distributed amongst A, B and C such that A:B::5:4 and B:C::8:9. What is the share of C? a. 1200 b. 1500 c. 1800 d. 1400 e. None of these 99. The ratio of number boys & girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1? a. 100 b. 150 c. 120 d. 270 e. None of these 100. Annual incomes of A & B are as 4:3 & their expenses are as 3:2. If each saves Rs. 600 per annum, then annual income of A is a. 2400 b. 1500 c. 2500 d. 2700 e. None of these Ans: 2, 400 101. A man’s coat costs seven times as much his shirt, but the bill for the two together was Rs. 416. The price of the shirt is a. 28 b. 52 c. 25 d. 26 e. None of these 102. The speeds of three cars in the ratio 2:3:4. The ratio between the times taken by three cars to travel the same distance is a. 3:4:6 b. 4:3:6 c. 6:4:3 d. 4:6:3 e. None of these 103. Four numbers in the ratio 1:3:4:7 add up to give a sum of 105. Find the value of the biggest number a. 28 b. 49 c. 30 d. 14 e. None of these 104. If the ratio of the ages of Maya and Chhaya is 6:5 at present, and 15 years from now, the ratio will get changed to 9:8, then find Maya’s present age a. 28 yrs b. 49 yrs c. 30 yrs d. 14 yrs e. None of these
105. If Rs. 58 is divided among 150 children such that each girl and each boy gets 25p and 50p respectively. Then how many girls are there? a. 28 b. 68 c. 60 d. 62 e. None of these 106. If 391 bananas were distributed among three monkeys in the ratio 1/2:2/3:3/4, how many bananas did the first monkey get? a. 128 b. 149 c. 103 d. 104 e. None of these 107. If two numbers are in the ratio of 5:8 and if 9 be added to each, the ratio becomes 8:11. Find the lower number a. 15 b. 49 c. 30 d. 14 e. None of these 108. What number must be taken from each term of the fraction 27/35 that it become 2:3? a. 28 b. 11 c. 30 d. 14 e. None of these 109. Twenty litres of a mixture contains milk and water in the ratio of 5:3. If four litres of this mixture is replaced by four litres of milk, then the ratio of milk to water in the new mixture will be a. 3:7 b. 3:5 c. 7:3 d. 5:3 e. None of these 110. The ratio of Vimal’s age and Aruna’s age is 3:5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be a. 1:2 b. 3:5 c. 7:3 d. 5:3 e. None of these 111. The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student? a. 5 b. 9 c. 6 d. 7 e. None of these 112. Pushpa is twice as old as Rita was 2 years ago. If the difference of their ages be 2 years, how old is Pushpa today? a. 10 b. 9 c. 6 d. 7 e. None of these 113. Jayesh is as much younger to Anil as he is older to Prashant. If the sum of the ages of Anil and Prasanth is 48 years, what is the age of Jayesh age? a. 25 b. 29 c. 26 d. 27 e. None of these
114. The ratio between the present ages of M and N is 5:3 respectively. The ratio between M’s age 4 years ago and N’s age after 4 years is 1:1. What is the ratio between M’s age after 4 years and N’s age 4 years ago? a. 1:2 b. 3:5 c. 3:1 d. 5:3 e. None of these 115. When the son will be as old as the father today, their ages will add up to 136 years. When the father was as old as the son is today, their ages added upto 40 years. Find the present ages of the son and father in years? a. 32,57 b. 32,56 c. 15,35 d. 20,45 e. None of these 116. In a Cricket Eleven, the average age of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain? a. 25 b. 35 c. 26 d. 27 e. None of these 117. Average age of the students in a class of 50 is 13. The weight of each is directly proportional to the height of each and the height is also found to be in direct proportion with the age. A student of age 11 has 165 cms of height, with weight being 33 kgs. Find the average weight of the class a. 25 b. 29 c. 39 d. 27 e. None of these Directions for (Q. No 118 & 119): Refer to the data below and answer the questions that follow: The average age of A and B is 20 years. If C is to replace A, the average age would be 19 and if he were to replace B, the average would be 21. Also, D is half the age of C 118. Average age of B and D is a. 25 b. 14 c. 26 d. 15 e. None of these 119. Average age of A, B, C and D is a. 15.5 b. 19.5 c. 16.5 d. 17.5 e. None of these 120. 6 friends A, B, C, D, E and F whose ages are in integers have following relation between their ages. B’s age is 5/6 times that of A, whereas age of C and D is 9/10 times that of B. F’s age are between that
of A and B and E is 3/2 times old as B and 3 years older to A. What is the average weight of all the 6 friends? a. 13 b. 10 c. 12 d. 15 e. None of these 121. The sum of the ages of the four members of the Rathore family is 140 years. Five years ago the ages of the four members Inder, Sunder, Mrs. Rathore and Mr. Rathore were in the ratio of 2:3:7:8. After how many years would Sunder be as old as his mother is today? a. 25 b. 24 c. 26 d. 27 e. None of these 122. Many years ago when Mr. Waugh was asked as to who among Steve and Mark is elder, he said, “In two years from now Steve will be twice as old as he was three years ago and in three years from now Mark will be three times as old as he was three years ago.” How old is Mark today, if Mr. Waugh was asked the question 27 years back and who is older Mark or Steve? a. 25 yrs , mark is older b. 33 yrs , mark is older c. 32 yrs , mark is older d. 33 yrs , both are of the same age e. None of these Directions for (Q. No 123-‐127): These questions are based on the following data. I was visiting my friend’s house at Tuticorin for the first time. I knew that he has five children, two daughters and three sons. The daughters were Sonali and Monali and the sons were Surya, Sagar and Prithvi. When I stepped into the house I was greeted by Sagar and Sonali. Sagar introduced himself and told that he was twice as old as Sonali. The next to meet me was Monali who said that she and Sonali together were twice as old as Sagar. However Sagar felt relieved when Surya walked in and introduced himself and said that he and Sagar were twice as old as their sisters together. In the afternoon Prithvi came to my room when was relaxing and said “Sorry Uncle, I was busy with my friends, since it is my 21st birthday today and hence could not meet you in the morning.” When I greeted him and said that it was fine, he looked relieved and said, “You know uncle, that the three of us Sugar, Surya and me are five times as old as our sisters together.” Saying this he went away. Can you help me find out the solution for the following questions? 123. What is the age of Surya? a. 13 years 10 months b. 10 years 6 months c. 12 yrs d. 15 yrs 6 months
e. None of these 124. What is the age of Monali? a. 5 years 10 months b. 5 years 3 months c. 12 yrs d. 5 yrs 6 months e. None of these 125. Who is the youngest of the siblings? a. sonali b. sagar c. surya d. prithvi e. None of these 126. How many years older than Sonali is Monali? a. 3 years 6 months b. 3 years 3 months c. 2 yrs d. 5 yrs 6 months e. None of these 127. After how many years would Surya be twice as old as Sagar? a. 3 years 6 months b. 3 years 3 months c. 2 yrs d. 5 yrs 6 months e. None of these 128. Average age of a father and his two sons is 27 years. Five years ago, the average of age of the two sons was 12 years. If the difference between the ages of the two sons is 4 years, then the present age of the father is a. 25 b. 24 c. 26 d. 47 e. None of these 129. The average age of 30 boys in a class is 15 years. One boy, aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class remains 15 years, the age of the younger newcomer is a. 15 b. 24 c. 26 d. 27 e. None of these 130. A father said to his son “I was as old as you are at present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was a. 15 b. 14 c. 26 d. 27 e. None of these
131. The average age of 8 persons is increased by 2 years, when one of them, whose age is 24 years is replaced by a new person. The age of the new person is a. 25 b. 24 c. 26 d. 27 e. None of these 132. Harsha is 40 years old and Rith is 60 years old. How many years ago was the ratio of their ages 3:5? a. 20 b. 24 c. 10 d. 27 e. None of these 133. The average age of 8 men is increased by 2 years when two of them whose ages are 21 and 23 years are replaced by two new men. The average age of the two new men is a. 25 b. 24 c. 26 d. 27 e. None of these 134. My grandfather was 8 times older than me 16 years ago. He would be 3 times my age, 8 years from now. Eight years ago, what was the ratio of my age to that of my grandfather? a. 1:2 b. 1:5 c. 7:3 d. 5:3 e. None of these 135. Ages of ‘A’ and ‘B’ are in the ratio of 2:3 respectively. Six years hence the ratio of their ages will become 8:11 respectively. What is B’s present age? a. 20 b. 24 c. 10 d. 27 e. None of these 136. Jayesh is twice as old as Vijay and half as old as Suresh. If sum of Suresh’s and Vijay’s ages is 85 years what is Jayesh’s age in years? a. 20 b. 34 c. 10 d. 27 e. None of these 137. Six years ago Jagannath was twice as old as Badri if the ratio of their present age is 9:5 respectively, what is the difference between their present ages? a. 20 b. 24 c. 10 d. 27 e. None of these 138. Jayesh is as much younger than Anil as he is older than Prasanth. If the sum of the ages of Anil and Prasanth is 48 years, what is Jayesh’s age in years? a. 20 b. 24 c. 10 d. 27 e. None of these
139. The average age of 30 students in a class is 15 years. If 6 students of this class have the average age of 16 years, then the average of the remaining 24 students would be a. 13 years 10 months b. 10 years 6 months c. 14 yrs 9 months d. 15 yrs 6 months e. None of these 140. The sum of the ages of two men is 85. Five years ago the difference between their ages was 1/9 of the present age of the elder. The elder’s present age is a. 45 b. 24 c. 10 d. 27 e. None of these 141. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member than the old member a. 20 b. 24 c. 10 d. 40 e. None of these 142. Father is 5 years older than the mother and the mother’s age is now thrice the daughter’s age. If the daughter is 10 years old now, what was father’s age, when the daughter was born? a. 25 b. 24 c. 10 d. 27 e. None of these 143. The age of Abdul is five times of his daughter and 5 years more than his wife. If the age of his daughter is 7 years, the age of his wife is a. 20 b. 30 c. 10 d. 27 e. None of these 144. 10 years ago, the average age of family of 3 members was 19 years. 2 children Sonu and Monu having been born, average age of the family is same to date. What is the present age of the youngest member of the family assuring that Sonu and Monu’s ages differ by 2 years? a. 2 yrs b. 4 yrs c. 1 yr d. 3 yrs e. None of these 145. Present age of Anand is 47 years and his wife’s age is just 38 years. When they were married, Anand was exactly one and half as old as his wife. How many years ago they were married? a. 20 b. 24 c. 10 d. 27 e. None of these
146. A said to B ‘I am twice as old as you were when I was old as you are now.” Sum of their ages is 42. Find their present ages a. 20 , 24 b. 24 , 18 c. 10 , 15 d. 27 , 35 e. None of these 147. Mr. Singh have five children Dolly, Polly, Molly, Solly and Lolly. Dolly was the eldest and the children were born in the same sequence such that the age difference between any two consecutive children is the same. If Dolly is 14 years old, what are the possible ages of Molly, if the difference in the ages of the children has integral values? I. 13 years II. 2 years III. 11 years a. only I b. only II c. only III d. I & II e. None of these 148. The captain of a cricket team of 11 players is 25 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average of the whole team? a. 20 b. 24 c. 10 d. 27 e. None of these 149. The difference in the age, of a mother and her son is 24 years. Four years hence the mother’s age will be 4 times that of the son’s age. What is the mother’s age? a. 32 b. 36 c. 40 d. 28 e. None of these 150. Supriya is 25 years younger than her mother today. Ten years ago, Supriya was one-‐sixth as old as her mother. How old is Supriya’s mother now? a. 32 b. 36 c. 40 d. 28 e. None of these 151. Ten years ago the average age of a family of 4 members was 24 years. Three children having been born, the average age of the family is same today. What are the present ages of children, if two children are identical twins and differ by two years from the elder one? a. 32,20,20 b. 36,30,30 c. 12,10,10 d. 12,40,40 e. None of these
152. Utpal and Nikil undertook a contract, investing Rs. 7000 and Rs. 8500 respectively. They earned a profit of Rs. 9300 in the business. What was the share of Nikhil? a. 3200 b. 3600 c. 4000 d. 2800 e. None of these 153. A and B started a business investing Rs. 20,000 and Rs. 30,000 respectively. A withdrew his capital after 6 months. At the end of the year A received Rs. 2000 as his share in the profit. How much was B’s profit? a. 3200 b. 3600 c. 4000 d. 2800 e. None of these 154. Ajay, Keshav and Vijay invested Rs. 8000, Rs. 4000 and Rs. 8,000 respectively in a business. Ajay left after six months. If after 8 months there was a profit of Rs. 4005, then what will be the share of Keshav? a. 890 b. 360 c. 400 d. 280 e. None of these 155. Ramesh started a business investing Rs. 30,000. Six months later, Yogesh joined him investing Rs. 15,000. If they make the profit of Rs. 10,000 at the end of the year, how much should the share of Ramesh be? a. 3200 b. 3600 c. 4000 d. 8000 e. None of these 156. In a factory the ratio of male workers to female workers was 5:3. If the number of female workers was less by 40, what was the total number of workers in the factory? a. 320 b. 360 c. 160 d. 180 e. None of these 157. Dilip, Ram and Avtar started a shop by investing Rs. 27000, Rs. 81,000 and Rs. 72,000 respectively. At the end of one year, the profit was distributed. If Ram’s share was Rs. 36000, what was the total profit? a. 32000 b. 36000 c. 40000 d. 80000 e. None of these 158. Anuj invested Rs. 80,000 and started a business. After four months, Gopal joined him what with a capital of Rs. 90,000. If at the end of the year, the total profit earned by them was Rs. 14,000. What was Gopal’s share in it? a. 3200 b. 6000 c. 4000 d. 8000 e. None of these
159. A started a business investing Rs. 18,000. After three months B joined him investing Rs. 27,000. If at the end of the year, the total profit is Rs. 3,400, what will be A’s share in it? a. 3200 b. 1600 c. 4000 d. 2800 e. None of these 160. Jeewan started a business investing Rs. 50,000. 4 months after he started. Anil joined him with a capital of Rs. 90,000. If at the end of the year, the total profit in the business is Rs. 22,000. What would be Anil’s share it? a. 12000 b. 36000 c. 40000 d. 80000 e. None of these 161. Amal started a business investing Rs. 20,000. Three months later, Kapil joined him investing Rs. 30,000. If they make a profit of Rs. 6,800 at the end of the year, what would be kapil’s share? a. 3600 b. 6000 c. 4000 d. 8000 e. None of these 162. Subodh started a business investing Rs. 45000. After 4 months Nepal joined him investing Rs. 30,000. If the total profit earned by them at the end of the year is Rs. 13,000. What will be the difference between their shares? a. 5000 b. 6000 c. 4000 d. 8000 e. None of these 163. A started with Rs. 4500 and B joined afterwards with Rs. 3000. If the profits at the end of one year were divided in the ratio 2:1 respectively, then B would have joined A for business after a. 3 months b. 6 months c. 4 months d. 8 months e. None of these 164. Srikanth and Vividh started a business investing amounts of Rs 185000 and Rs 225000, respectively. If Vividh’s share in the profit earned by them is Rs 9000, what is the total profit earned by them together? a. 25300 b. 15400 c. 16400 d. 8000 e. None of these 165. A starts a business with Rs. 9000 and B joins him after 6 months with an investment of Rs. 45000. What will be the ratio of the profits of A and B at the end of year? a. 1:2 b. 2:5 c. 7:3 d. 5:3 e. None of these
166. Rajan and Sajan started a business initially with Rs. 14200 and Rs. 15600 respectively. If total profits at the end of the year are Rs. 74500, what is the Rajan’s share in the profit? a. 25300 b. 15400 c. 16400 d. 35500 e. None of these 167. Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3:4:7. If their annual profit be Rs. 21000, what will be kamal’s share in this profit? a. 25300 b. 15400 c. 16400 d. 10500 e. None of these 168. Reena, Reema and Meera take a car on rent and they use that car for 14h, 16h and 22h, respectively. What amount will be paid by Meera, if total rent of the cat is Rs. 2080? a. 300 b. 840 c. 820 d. 880 e. None of these 169. Pinku, Rinku and Tinku divide an amount of Rs. 4,200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs. 200 is added to each of their shares, what will be the new respective ratio of their shares of amount? a. 7:8:9 b. 8:9:7 c. 9:8:7 d. 9:7:8 e. None of these 170. Ramesh and Priya started a business initially with Rs. 5100 and Rs. 6600, respectively investments done by both the persons are for different time periods. If the total profit is Rs. 5460, what is the profit of Ramesh? a. 2530 b. 1540 c. 1640 d. data inadequate e. None of these 171. A, B and C together start a business. B invests 1/6 of the total capital while investments of A and C are equal. If the annual profit on this investment is Rs. 33600, find the difference between the profits of B and C a. 2530 b. 8000 c. 8200 d. 8400 e. None of these 172. Avinash invested an amount of Rs. 25,000 and started a business. Jitendra joined him after one year with an amount of Rs. 30,000. After two years from starting the business they earned the profit of Rs, 46,000. What will be Jitendra’s share in the profit?
a. 25300 b. 15400 c. 16400 d. 17250 e. None of these 173. Mr. Nilesh Agarwal opened a workshop investing Rs. 40,000. He invested additional amount of Rs. 10,000 every year. After two years his brother Suresh joined him with an amount of Rs. 85,000. Thereafter Suresh did not invest any additional amount. On completion of four years from the opening of workshop they earned an amount of Rs. 1, 95,000. What will be Nilesh’s share in the earning? a. 120000 b. 100000 c. 110000 d. 150000 e. None of these 174. A invests Rs. 3000 for one year in a business. How many B should invest in order that the profit after 1 year may be divided into ratio of 2:3? a. 2530 b. 8000 c. 4500 d. 8400 e. None of these 175. Three friends A, B and C started a business by investing amount in the ratio of 5:7:6 respectively. After a period of six months C withdrew half of the amount invested by him. If the amount invested by A is Rs. 40,000 and the total profit earned at the end of one year is Rs. 33,000. What is C’s share in profit? a. 9000 b. 8000 c. 8200 d. 8400 e. None of these 176. Mr. Shivkumar started a business investing Rs. 25,000 in 1996. In 1997 he invested an additional amount of Rs. 10,000 and Mr. Rakesh joined him with an amount of Rs. 35,000. In 1998 Mr. Shivkumar invested another additional amount of Rs. 10,000 and Mr. Suresh joined them with an amount of Rs. 35,000. What will be Rakesh’s share in the profit of Rs. 1,50,000 earned at the end of three years from the start of the business in 1996? a. 90000 b. 80000 c. 50000 d. 84000 e. None of these 177. A and B started business with Rs. 3000 and Rs. 4000 respectively. After 8 months a withdraw Rs. 1000 and B advances Rs. 1000 more. At the end of the year, their profits amounted to Rs. 630. Then the share of A is a. 200 b. 220 c. 240 d. 300 e. None of these
178. A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is a. 29000 b. 28000 c. 28200 d. 28400 e. None of these 179. A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find how long B’s money was used? a. 3 months b. 6 months c. 4 months d. 8 months e. None of these 180. A, B and C are partners of a company. During a particular year A received one-‐third of the profit, B received one-‐fourth of the profit and C received the remaining Rs. 5,000. How much did A received? a. 4000 b. 8000 c. 8200 d. 8400 e. None of these 181. A began a business with Rs. 4500 and was joined afterwards by B with Rs. 5400. When did B join if the profits at the end of the year were divided in the ratio 2:1? a. after 3 months b. after 6 months c. after 4 months d. after 8 months e. None of these 182. A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by a. 3600 b. 3800 c. 3000 d. 8400 e. None of these 183. A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is a. 29000 b. 28000 c. 28200 d. 28400 e. None of these 184. Rs. 700 is divided among A, B and C so that A receives half as much as B and B half as much as C. Then C’s share is
a. 200 b. 220 c. 400 d. 300 e. None of these 185. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20,000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh? a. 3600 b. 5000 c. 3000 d. 4000 e. None of these 186. Yogesh started a business investing Rs. 45,000. After 3 months, Pranab joined him with a capital of Rs. 60,000. After another 6 months, Atul joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 20,000. What would be Atul’s shate it? a. 3600 b. 5000 c. 3000 d. 4000 e. None of these 187. Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4,600, what was Kapil’s share in it? a. 3600 b. 2300 c. 3000 d. 2400 e. None of these 188. Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 54,000 after completion of one year. What will be be Madhu’s share of profit? a. 29000 b. 28000 c. 30000 d. 28400 e. None of these 189. A, B, C enters into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respectively shares of A, B, C in an annual profit of Rs. 40,500 are a. Rs. 10,500, Rs. 13,500, Rs. 16, 500 b. Rs. 10,500, Rs. 13,500, Rs. 16, 000 c. Rs. 10,500, Rs. 12,500, Rs. 16, 500 d. Rs. 10,000, Rs. 13,500, Rs. 16, 500 e. None of these 190. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months, If after eight months, there was a gain of Rs. 4005, then will be the share of Kamal? a. 800 b. 890 c. 850 d. 820 e. None of these
191. Two friends P and Q started a business investing in the ratio of 5:6. R joined them after six months investing an amount equal to that of Q’s. At the end of the year 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R? a. 220000 b. 210000 c. 240000 d. 230000 e. None of these 192. In a business A and C invested amounts in the ratio 2:1 whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive? a. 48000 b. 44000 c. 42000 d. 48400 e. None of these 193. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? a. 7500 b. 6500 c. 8000 d. 9000 e. None of these 194. A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much C pays as his share of rent? a. 25 b. 35 c. 45 d. 50 e. None of these 195. A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? a. 5:10:6 b. 10:6:5 c. 6:10:5 d. 5:6:10 e. None of these 196. Mr. Nilesh Agarwal opened a workshop investing Rs. 40,000. He invested additional amount of Rs. 10,000 every year. After two years his brother Suresh joined him with an amount of Rs. 85,000. Thereafter Suresh did not invest any additional amount. On completion of four years from the opening of workshop they earned an amount of Rs. 1, 95,000. What will be Nilesh’s share in the earning? a. 120000 b. 110000 c. 140000 d. 130000 e. None of these
197. A invests Rs. 3000 for one year in a business. How much B should invest in order that the profit after may be divided into ratio of 2:3? a. 7500 b. 4500 c. 5000 d. 4000 e. None of these 198. Three friends A, B and C started a business by investing amount in the ratio of 5:7:6 respectively. After a period of six months C withdrew half of the amount invested by him. If the amount invested by A is Rs. 40,000 and the total profit earned at the end of one year is Rs. 33,000, what is C’s share in profit? a. 7500 b. 4500 c. 9900 d. 4000 e. None of these 199. Mr. Shivkumar started a business investing Rs. 25,000 in 1996. In 1997 he invested an additional amount of Rs. 10,000 and Mr. Rakesh joined him with an amout of Rs. 35,000. In 1998 Mr. Suresh joined them with an amount of Rs. 35,000. What will be Rakesh’s share in the profit of Rs. 1,50,000 earned at the end of three years from the start of the business in 1996? a. 48000 b. 50000 c. 45000 d. 55000 e. None of these 200. A and B started business with Rs. 3000 and Rs. 4000 respectively. After 8 months A withdraws Rs. 1000 and B advances Rs. 1000 more. At the end of the year, their profits amounted to Rs. 630. Then the share of A is a. 480 b. 440 c. 420 d. 240 e. None of these
1. C 2. D 3. D 4. B 5. C 6. A 7. D 8. B 9. A 10. A 11. B 12. B 13. A 14. C 15. A. 16. B 17. B 18. A 19. A 20. A 21. D 22. A 23. A 24. A 25. A 26. D 27. C 28. D 29. C 30. A 31. D 32. A 33. C 34. C 35. B 36. B 37. D 38. C 39. A 40. B 41. D 42. B 43. B 44. A 45. A 46. C 47. D 48. C 49. B 50. D 51. A 52. D 53. A 54. B 55. A 56. A 57. B 58. B 59. B 60. A 61. A 62. C 63. A 64. B 65. A 66. C 67. B 68. C 69. D 70. B 71. A 72. D 73. B 74. D 75. D 76. B 77. B 78. C 79. C 80. B 81. C 82. D 83. B 84. C 85. E 86. D 87. A 88. C 89. A 90. D 91. A 92. B 93. B 94. D 95. A 96. C 97. B 98. A 99. C 100. A 101. B 102. C 103. B 104. C 105. B 106. E 107. A 108. B 109. C 110. A 111. D 112. A 113. E 114. C 115. B 116. B 117. C 118. B 119. D 120. C 121. B 122. D 123. B 124. B 125. A 126. A 127. A 128. D 129. A 130. B 131. E 132. C 133. E 134. B 135. D 136. B 137. B 138. B 139. C 140. A 141. D 142. A 143. B 144. D 145. A 146. B 147. B 148. E 149. D 150. C 151. C 152. E 153. E 154. A 155. D 156. C 157. D 158. B 159. B 160. A 161. A 162. A 163. A 164. C 165. B 166. D 167. D 168. D 169. B 170. D 171. D
172. D 173. C 174. C 175. A 176. C 177. C 178. B 179. E 180. A 181. E 182.A 183. B 184. C 185. B 186. D 187. B 188. C 189. A 190. B191. B192. D 193. A 194. C 195. C 196. B 197. B 198. E 199. B 200. D
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