1. The average age of 40 boys in a class is 15.
The average age of a group of 18 boys in the class is 16 and the
average age of another12 boys in the class is 14. What is the
average age of the remaining boys in the class?
(1) 15.25 years
(2)
14.4 years
(3)
14.75 years
(4)
None of these
(5) cannot be determined
Answer:- 2
2. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
1. 58 2. 48 3. 30 4. 20
ANSWER:- 3
3. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
1. 17 : 18 2. 8 : 9 3. Cannot be determined 4. 21 : 22
ANSWER:- 4
4. Two numbers are such that if the first is
subtracted from six times the second, their difference becomes 71,
and if the second be added to 7 times the first , their sum becomes
62. The two numbers are
(1) 19,
7
(2) 13,
7
(3) 7,
13
(4)17,
3
(5)
None of these
5. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
1. 58 2. 48 3. 30 4. 20
Answer:- 3
6. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
1. 17 : 18 2. 8 : 9 3. Cannot be determined 4. 21 : 22
Answer:- 4
7. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
1. 67 kg. 2. 68 kg. 3. 69 kg. 4. Data inadequate
Answer:- 1
8. The average marks of a student in eight subjects is 87. After revaluation in two subjects the marks were changed to 138 from 98 and 132 from 108. In remaining subjects the marks remained unchanged. What are the new average marks?
(1) 97 (2) 92 (3) 98 (4) 94 (5) 95
Answer:- 5
9. The average score of Rahul, Manish and Suresh is 63. Rahul’s score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish and Suresh, what is the sum of Manish’s and Suresh’s score?
(1) 120 (2) 111 (3) 117 (4) Cannot be determined (5) None of these
Answer:- 2
10. The average age of 40 students of a class is 18 years. When 20 new students are admitted to the same class, the average age of students of class is increased by 6 m-onths. The average age of newly admitted students are?
(1) 19 years (2) 19 years 6 months (3) 20 years
(4) 20 years 6 months (5) None of these
Answer:- 2
11. Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
A. 45 B. 40 C. 35 D. 30
Answer:- 3
12. Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age?
A. 4 times B. 4 times C. 2 times D. 3 times
Answer:- 3
13. A man's age is 125% of what it was 10 years ago, but 8313% of what it will be after 10 years. What is his present age?
A. 70 B. 60 C. 50 D. 40
Answer:- 3
14. A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
A. 23 years B. 22 years C. 21 years D. 20 years
Answer:- 2
15. Present ages of Kiran and Syam are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Syam's present age in years?
A. 28 B. 27 C. 26 D. 24
Answer:- 4
16. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?
A. 6 years B. 5 years C. 4 years D. 3 years
Answer:- 3
17. A is two years older than B who is twice as old as C. The total
of the ages of A, B and C is 27. How old is B?
A. 10 B. 9 C. 8 D. 7
Answer:- 1
18. The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
A. 48 B. 45 C. 43 D. 44
Answer:- 4
19. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?
A. 20 years B. 18 years C. 14 years D. 22 years
Answer:- 3
20. Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age.
A. 10 years B. 12 years C. 8 years D. 5 years
Answer:- 4
21. The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
A. 23 years B. 22 years C. 21 years D. 20 years
Answer:- 4
22. Kiarn is younger than Bineesh by 7 years and their ages are in the respective ratio of 7 : 9, how old is Kiran?
A. 25 B. 24.5 C. 24 D. 23.5
Answer:- 2
23. Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj's age at present?
A. 18 B. 17 C. 16 D. 15
Answer:- 3
24. At present, the ratio between the ages of Shekhar and Shobha is
4 : 3. After 6 years, Shekhar's age will be 26 years. Find out the
age of Shobha at present?
A. 15 years B. 14 years C. 13 years D. 12 years
Answer:- 1
25. My brother is 3 years elder to me. My father was 28 years of
age when my sister was born while my mother was 26 years of age
when I was born. If my sister was 4 years of age when my brother
was born, then what was the age my father when my brother was
born?
A. 35 years B. 34 years C. 33 years D. 32 years
Answer:- 4
26. The present ages of A,B and C are in proportions 4 : 7 : 9.
Eight years ago, the sum of their ages was 56. What are their
present ages (in years)?
A. Insufficient data B. 16, 30, 40 C. 16, 28 40 D. 16, 28, 36
Answer:- 4
27. A person's present age is two-fifth of the age of his mother.
After 8 years, he will be one-half of the age of his mother. What
is the present age of the mother?
A. 60 B. 50 C. 40 D. 30
Answer:- 3
28. A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?
A. Data inadequate B. 3 years C. 2 years D. 5 years
Answer:- 1
29. Sobha's father was 38 years of age when she was born while her
mother was 36 years old when her brother four years younger to her
was born. What is the difference between the ages of her
parents?
A. 6 years B. 5 years C. 4 years D. 3 years
Answer:- 1
30. The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?
A. 7 : 3 B. 3 : 7 C. 9 : 4 D. 4 : 9
Answer:- 1
31. The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?
A. 10 B. 20 C. 30 D. 40
Answer:- 3
32. 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. What is father's present age?
A. 30 years B. 31 years C. 32 yeas D. 33 years
Answer:- 4
33. Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.
A. 40 years B. 38 years C. 42 years D. 36 years
Answer:- 1
34. If 6 years are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 years younger to Denis whose age is 5 years, then what is Ajay 's present age?
A. 50 years B. 60 years C. 55 years D. 62 years
Answer:- 2
35. The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?
A. 8 years B. 10 years C. 11 years D. 12 years
Answer:- 4
36. The product of the ages of Syam and Sunil is 240. If twice the age of Sunil is more than Syam's age by 4 years, what is Sunil's age?
A. 16 B. 14 C. 12 D. 10
Answer:- 3
37. One year ago, the ratio of Sooraj's and Vimal's age was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is Vimal?
A. 32 B. 34 C. 36 D. 38
Answer:- 3
38. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?
A. 10 B. 11 C. 12 D. 13
Answer:- 3
39. Sachin's age after 15 years will be 5 times his age 5 years back. Find out the present age of Sachin?
A. 10 years B. 11 years C. 12 years D. 13 years
Answer:- 1
40. Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1 : 5. What is Sandeep's father's age at present?
A. 30 years B. 40 years C. 50 years D. 60 years
Answer:- 3
41. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A. 6.25 B. 5.5 C. 7.4 D. 5
Answer:- 1
42. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A. 4800 B. 4991 C. 5004 D. 5000
Answer:- 2
43. The average of 20 numbers is zero. Of them, How many of them
may be greater than zero, at the most?
A. 1 B. 20 C. 0 D. 19
Answer:- 4
44. The captain of a cricket team of 11 members is 26 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 one year less than the average age of the whole team. Find out the average age of the team.
A. 23 years B. 20 years C. 24 years D. 21 years
Answer:- 1
45. The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
A. 2000 B. 3000 C. 4000 D. 5000
Answer:- 3
46. A car owner buys diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 4000 each year?
A. Rs. 8 B. Rs. 7.98 C. Rs. 6.2 D. Rs. 8.1
Answer:- 2
47. In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran?
A. 70 kg B. 69 kg C. 61 kg D. 67 kg
Answer:- 4
48. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A. 48.55 B. 42.25 C. 50 D. 51.25
Answer:- 1
49. A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
A. 290 B. 304 C. 285 D. 270
Answer:- 3
50. A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 12. What is the number of students in the class?
A. 45 B. 40 C. 35 D. 30
Answer:- 2
51. A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. The average age of the family is
A. 3227 years B. 3157 years C. 2817 years D. 3057 years
Answer:- 2
52. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?
A. 31 kg B. 2812 kg C. 32 kg D. 3012 kg
Answer:- 1
53. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
A. 53.23 B. 54.68 C. 51.33 D. 50
Answer:- 2
54. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
A. 40 B. 32 C. 28 D. 30
Answer:- 1
55. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing
65 kg. What is the weight of the new person?
A. 75 Kg B. 50 Kg C. 85 Kg D. 80 Kg
Answer:- 3
56. There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class?
A. 38.25 B. 37.25 C. 38.5 D. 37
Answer:- 2
57. A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
A. 39 B. 35 C. 42 D. 40.5
Answer:- 1
58. A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
A. 12 B. 5 C. 7 D. 9
Answer:- 3
59. Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
A. 53 B. 54 C. 72 D. 75
Answer:- 4
60. Distance between two stations A and B is 778 km. A train covers
the journey from A to B at 84 km per hour and returns back to A
with a uniform speed of 56km per hour. Find the average speed of
the train during the whole journey?
A. 69.0 km /hr B. 69.2 km /hr C. 67.2 km /hr D. 67.0 km /hr
Answer:- 3
61. The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
A. 15 B. 16 C. 15.5 D. Insufficient Data
Answer:- 4
62. The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
A. 51 years B. 49 years C. 53 years D. 50 years
Answer:- 1
63. The average of five numbers id 27. If one number is excluded, the average becomes 25. What is the excluded number?
A. 30 B. 40 C. 32.5 D. 35
Answer:- 4
64. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.
A. 150 B. 174 C. 180 D. 166
Answer:- 2
65. The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, what is the average for the last four matches?
A. 34.25 B. 36.4 C. 40.2 D. 32.25
Answer:- 1
66. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then
A. None of these B. x = y + z C. 2x = y + z D. x = 2y + 2z
Answer:- 3
67. Suresh drives his car to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. What is his average speed for the whole journey ?
A. 32.5 km/hr. B. 35 km/hr. C. 37.5 km/hr D. 40 km/hr
Answer:- 3
68. The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. What is the average age of the family ?
A. 21 years B. 20 years C. 18 years D. 19 years
Answer:- 4
69. In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?
A. 12 B. 11 C. 13 D. 14
Answer:- 2
70. The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. How many workers are there in the workshop ?
A. 21 B. 22 C. 23 D. 24
Answer:- 1
71. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
A. Rs.14400 B. Rs.26400 C. Rs.12000 D. Rs.12500
Answer:- 1
72. X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
A. 1:2 B. 2:1 C. 1:3 D. 3:1
Answer:- 2
73. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
A. 21:32 B. 32:21 C. 12:17 D. 17:12
Answer:- 1
74. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
A. 75000 B. 70000 C. 72000 D. 78000
Answer:- 3
75. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A. 7500 B. 8500 C. 9000 D. 8000
Answer:- 1
76. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 5 months B. 6 months C. 7 months D. 8 months
Answer:- 4
77. A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?
A. 4 months B. 5 months C. 6 months D. 7 months
Answer:- 1
78. A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
A. 1400 B. 1500 C. 1600 D. 1200
Answer:- 2
79. A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then what is B's share in the profit?
A. Rs. 2000 B. Rs. 3000 C. Rs. 4000 D. Rs. 5000
Answer:- 3
80. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A. 2660 B. 1000 C. 2300 D. 4000
Answer:- 1
81. A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
A. 14200 B. 14700 C. 14800 D. 14500
Answer:- 2
82. A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
A. 45 B. 35 C. 55 D. 60
Answer:- 1
83. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs. 760. What is A's share in the profit?
A. 310 B. 330 C. 370 D. 350
Answer:- 2
84. A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is
A. 7000 B. 8000 C. 9000 D. 10000
Answer:- 3
85. A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A. 10:12:14 B. 12:24:28 C. 20:22:12 D. 20:49:64
Answer:- 4
86. A and B started a partnership business investing capital in the
ratio of 3 : 5. C joined in the partnership after six months with
an amount equal to that of B. At the end of one year, the profit
should be distributed among A, B and C in --- proportion.
A. 10 : 5 : 4 B. 5 : 3 : 4 C. 3 : 4: 5 D. 6 : 10 : 5
Answer:- 4
87. A & B partner in a business , A contribute 1/4 of the
capital for 15 months & B received 2/3 of the profit . For how
long B's money was used
A. 12 months B. 10 months C. 14 months D. 16 months
Answer:- 2
88. A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
A. 80000 B. 90000 C. 70000 D. 120000
Answer:- 1
89. A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4000 as profit , what is their total profit?
A. 28000 B. 30000 C. 32000 D. 34000
Answer:- 1
90. P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
A. 40000 B. 50000 C. 60000 D. 70000
Answer:- 3
91. A & B start a business jointly. A invests Rs 16000 for 8 month & B remains in a business for 4 months. Out of total profit, B claims 2/7 of the profit . How much money was contributed by B ?
A. 11200 B. 12000 C. 12400 D. 12800
Answer:- 4
92. A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profit s should be shared.
A. 10:3 B. 17:3 C. 3:10 D. 3:17
Answer:- 2
93. A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A
A. 20600 B. 20700 C. 20500 D. 20400
Answer:- 3
94. A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
A. 2 B. 3 C. 4 D. 5
Answer:- 3
95. Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
A. 4000 B. 5000 C. 6000 D. 7000
Answer:- 3
96. 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 157300 was their profit, how much amount did B receive?
A. 48000 B. 48200 C. 48400 D. 48600
Answer:- 3
97. P , Q and R started a business by investing Rs 120000 , Rs
135000 & Rs 150000 respectively. Find the share of each, out of
the annual profit of Rs 56700
A. 16800 , 18900 , 21000 B. 17850 , 18900 , 21000 C. 16800 , 18900 , 22000 D. 17850, 18500 , 22000
Answer:- 1
98. If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
A. 600 B. 700 C. 800 D. 900
Answer:- 4
99. P, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?
A. 18:19:19 B. 18:18:19 C. 19:19:18 D. 18:19:19
Answer:- 3
100. P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q's share?
A. 114 B. 120 C. 134 D. 144
Answer:- 4
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