Find a positive number which when increased by 17 is equal


Practice

1 The average age of five children of a family is 11 years. The average age of their parents and their grandfather is 35 years. Find the average age of the family if the family has only given 8 members.
A.18 yrs B.19 yrs C.20 yrs D.21 yrs

2 The average weight of a class of 35 students is 40 kg. If a group of five students having an average weight of 42 kg leave the class , then what will be the average weight of the remaining 30 students.
A.402/3kg B.392/(3 )kg C.382/3 kg D.372/3 kg

3 The average score in 8 different subjects is 87. Of these scores, the highest score is 2 more than the next highest score. If these two highest scores are eliminated , then the average of the remaining scores comes out to be 85. What is the highest score?
A.93 B.94 C.95 D.96

4 Three years ago, the average age of a man, his wife and his son was 27 yrs. If five yrs ago, the average age of his wife and his son was 20 yrs, then how old the man is at present?
A.40 yrs B.41 yrs C.42 yrs D.43 yrs

5 A candidate scores an average of 60% marks in all his subjects scoring an average of 56% marks in four of the subjects and an average of 68% marks in the remaining subjects. What are the total number of subjects?
A.6 B.7 C.10 D .None of these

6 The distance between the two points is 150 km. A man travels from A to B in 3 hours and 20 minutes and returns back to A in 4 hours and 10 minutes. If V is the average speed of the entire trip, then the average speed for the trip from A to B exceeds V by
A.5 km/hr B.2 km/hr C.8 km/hr D.7km/hr

7 The average weight of 36 students is calculated to be 50 kg. Later, it was found that one of the figures of 37 kg was misread as 73 kg . What is the correct value of the average weight?
A.42kg B.44kg C.46kg D.49kg

8 By scoring a 100 in his 20th innings , Tendulkar increased his average by 2. What was his average for the first 19 innings?
A.62 B.60 C.66 D.64

9 In mathematics exam a student scored 30% marks in the first paper out of a total of 180. How much should he score in the 2nd paper out of 150 if he is to get an overall average of atleast 50%?
A.80% B.76% C.74% D.74%

10 In 5 compulsory subjects , a candidate scored an average of 60 marks .In 2 optional subjects, he scored equal marks . If the average of his combined scores in compulsory and optional subjects is 56 marks then how much did he score in each of the optional subjects?
A.56 B.52 C.50 D.46

11 Average cost of 10 apples and 5 oranges is Rs.5 . The average cost of 5 apples and 10 oranges is Rs 4. What is the average cost of 20 apples and 4 oranges?
A.Rs 5.50 B.Rs6 C.Rs 6.50 D.Rs 4.50

12 The average temperature on Wednesday , Thursday, and Friday was 24®. The average temperature on Thursday , Friday and Saturday was 26®. If the temperature on Saturday was 28®, what was the temperature on Wednesday ?
A.24® B.22® C.23® D.21®

13 What strength of 20ml alcohol should be added to 10ml of 50% alcohol to get an average strength of 20% alcohol?
A. 0.5% B.5% C.50% D.5.5%

14 Nine persons went to a hostel for taking their meals. Eight of them spent Rs12 each on their meals and the ninth spent Rs 8 more than the average expenditure of all the nine. What was the total money spent by them
A.Rs100 B.Rs117 C.Rs150 D.Rs 175

15 There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of the mess were increased by Rs 42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the mess
A.Rs 400 B.Rs420 C.Rs 450 D.Rs 500

16 In Arun's opinion , his weight is greater than 65 kg but less than 72 kg. His brother does 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 of them are correct in their estimation , what is the average of different probable weights of Arun
A.67kg B.68kg C.69kg D.data Inadequate E.None of these

17 The average annual income (in Rs ) of a certain agricultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers . The average monthly income of all the workers is
A.(S+T)/2 B.(S+11T)/2 C.1/11S +T D.(11S+T)/12

18 A car owner buys petrol at Rs 7.5 , Rs 8 and Rs 8.5 per litre for three successive years.What approximately is the average cost per litre of petrol if he spends Rs 4000 each year
A.Rs 7.98 B.Rs 8 C.Rs 8.50 D.Rs 9

19 The average price of 10 books is Rs 12 while the average price of 8 of these books is Rs 11.75 . Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books
A.Rs 5, Rs 7.50 B.Rs 8, Rs 12 C.Rs 10, Rs 16 D.Rs12, Rs 14

20 The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4
A.2 B.4 C.70 D.76

21 A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to get an average 4375 items per month over the whole
A.4500 B.4600 C.4680 D.4710

22 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.6.5 C.6.75 D.7

23 The average of 8 numbers is 20. The average of first two numbers is 15 1/2 and that of the next three is 21 1/3 . If the sixth number is less than the seventh and eighth numbers by 4 and 7 respectively, then the eighth number is
A.18 B.22 C.25 D.27

24 An alloy contains tin and copper in the ratio of 4:5 .If tin has 20% impurity and copper has 58% , what is the average impurity percentage?
A. 35% B.41.1% C.45% D.47%

25 The average age of the members of a club increases to 27 when 3 more persons whose average age is 29 join them from 26.What is the number of members in the club now?
A.6 B.9 C.12 D.5 E.10

26 The average weight of a group of 10 people increases by 1 kg, when one of them weight 58 kg is replaced by a new person. The weight of the new person is
A.62kg B.68kg C.66kg D. None of these

27 In an exam, the average marks obtained by the students was found to be 55. A certain computerisation error was detected and marks of 50 students has to be changed from 95 to 65. Hence, the average came down by 10 marks. The number of candidates taking the exam is
A.100 B.150 C.200 D.250

28 Metro rail gets an average number of 270 travellers on other days and 450 on Sundays . The average number of visitors per day in a month of 30 days beginning with Saturday is
A.200 B.225 C.300 D.350

29 The average age of a family of 11 members is 20 years. If the age of the youngest member is 10 years, what was the average age of the family at the time of the birth of the youngest member?
A.10 years B.12 years C.11 years D.9 years

30 In an examination , a pupil' s average marks were 63 per paper. If he had obtained 20 more marks for his geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination
A.8 B.9 C.10 D.11 E.12

31 The average age of students of a class is 15.8 yrs . The average age of boys in the class is 16.4 yrs and that of the girls is 15.4 yrs.The ratio of the number of boys to the number of girls in the class is
A.1:2 B.2:3 C.3:4 D.3:5

32 In a school with 600 students, the average age of the boys is 12 yrs and that of the girls is 11 yrs. If the average age of the school is 11 yrs 9 months , then the number of girls in the school is
A.150 B.250 C.350 D.450

33 The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% secured a mean score of 31. The mean score of remaining 55% is
A.45 B.50 C.51.4approx D.54.6approx

34 The average age of 3 children in a family is 20% of the average age of the father and the eldest child. The total age of the mother and the youngest child is 39 yrs. If the father's age is 26 yrs, what is the age of the second child.
A.15yrs B.18yrs C.20yrs D.Cannot be determined

35 After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 yrs ago.What is the difference between the ages of the replaced and the new member
A.2yrs B.4yrs C.8yrs D.15yrs

36 10 yrs ago, the average age of a family of 4 members was 24 yrs.Two children having been born(with age difference of 2 yrs), the present average age of the family is the same.The present age of the youngest child is
A.1yr B.2yrs C.3yrs D.5yrs

37 The average age of a husband and his wife was 23 yrs at the time of their marriage. After 5 yrs they have a one-yr old child. The average age of the family now is
A.19yrs B.23yrs C.28.5yrs D.29.3yrs

38 A team of 8 persons joins in a shooting competition. The best marksman scored 85 points.If he had scored 92 points, the average score for the team would have been 84.The number of points, the team scored was
A.588 B.645 C.665 D.672

39 A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by them till the last match was
A.64 B.72 C.80 D.85

40 The average age of 8 men is increased by 2 yrs when two of them whose ages are 21 yrs and 23 yrs are replaced by two new men.The average age of the two new men is
A.22yrs B.24yrs C.28yrs D.30yrs

41 The ratio of the ages of a man and his wife is 4:3. After 4 yrs, this ratio will be 9:7. If at the time of marriage , the ratio was 5:3, then how many yrs ago were they married?
A.8 yrs B.10 yrs C.12 yrs D.15 yrs

42 My brother is 3 yrs elder to me. My father was 28 yrs of age when my sister was born while my mother was 26 yrs of age when I was born. If my sister was 4 yrs of age when my brother was born, then what was the age of my father and my mother respectively when my brother was born ?
A.32, 23 yrs B.32, 29 yrs C.35, 29 yrs D.35, 33 yrs

43 A person was asked to state his age in yrs. His reply was ‘' Take my age three yrs hence, multiply it by 3 and then subtract three times my age three years ago and you will how old I am ‘'. What was the age of the person ?
A.18 yrs B.20 yrs C.24 yrs D.32 yrs

44 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, the son's age five years back was:
A.14yrs B.19yrs C.33yrs D.38yrs

45 If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 yrs younger to Madan whose age is 5 yrs, then what is Gagan's present age
A.48yrs B.60yrs C.84yrs D.96 yrs

46 Sneh's age is 1/6th of her father's age.Sneh's father age will be twice of Vimal's age after 10 yrs. If Vimal's eighth birthday was celebrated two yrs before, then what is Sneh's present age
A.20/3 yrs B.24yrs C.30yrs D.None of these

47 Father is aged three times more than his son Ronit. After 8 yrs, he would be two and a half times of Ronit's age. After further 8 yrs , how many times would he be of Ronit's age
A.2times B.2 1/2times C.2 3/4times D.3times

48 The sum of the ages of 5 children born at the intervals of 3 years each is 50 yrs. What is the age of the youngest child
A.4yrs B.8yrs C.10yrs D.None of these

49 Rajan got married 8 yrs ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10yrs younger to him at the time of his marriage. The age of Rajan's sister is
A.32yrs B.36yrs C.38yrs D.40yrs

50 Q is as much younger than R as he is older than T.If the sum of the ages of R and T is 50 yrs, what is definitely the difference between R and Q's age
A.1yr B.2yrs C.25 yrs D.Data Inadequate E.None of these

51 The total age of A and B is 12 yrs more than the total age of B and C . C is how many years younger than A
A.12 B.24 C.C is elder than A D.Data Inadequate E.None of these

52 The sum of the present ages of a father and his son is 60yrs. Six yrs ago, father's age was five times the age of the son. After 6 yrs, son's age will be
A.12yrs B.14yrs C.18yrs D.20yrs

53 The age of father 10 yrs ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is
A.5:2 B.7:3 C.9:2 D.13:4

54 Tanya's grandfather was 8 times older to her 16 yrs ago. He would be 3 times of her age 8 yrs from now . Eight yrs ago, what was the ratio of Tanya's age to that of her grandfather
A.1:2 B.1:5 C.3:8 D.None of these

55 A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
A.145 B.253 C.370 D.352

56 The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
A.20 B.30 C.40 D.None of these

57 In a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children .If 3/4 of the men are married and 2/3 of the married men have children, what part of workers are without children?
A.5/18 B.11/18 C.5/10 D.18/5

58 A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
A.30 birds B.60 birds C.72 birds D.90 birds

59 Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.1/7 B.1/8 C.1/9 D.7/8

60 To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
A.10 B.30 C.62.5 D.none of thes

61 In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A.160 B.175 C.180 D.195

62 David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
A.19 B.28 C.30 D.37

63 Each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys in a class of 60 students. If the total contribution thus collected is Rs 1600 , how many boys are there in a class
A.25 B.30 C.50 D.data Inadequate

64 A worker may claim Rs 1.50 for each Km which he travels by taxi and 50 p for each Km he drives his own car. If in one week , he claimed Rs 50 for travelling 80 km, how many kms did he travel by taxi
A.10 B.20 C.30 D.40

65 In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly is
A.35 B.38 C.40 D.42

66 A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss(-1) point , how many matches in all have they played if their score is 23
A.17 B.20 C.37 D.40

67 On children's day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's day , 35 children were absent and therefore each child got 4 sweets extra. Total, how many sweets were available for distribution
A.2400 B.2480 C.2680 D.2750 E.None of these
68 In a classroom , if 6 students per bench are assigned to accommodate all students, one more bench will be required. However, if 7 students are accommodated per bench, there would be a space left for 5 students. What is the number of students in a class
A.30 B.42 C.72 D.None of these

69 Vidushi and Sanya distribute Rs 100 each in a charity. Vidushi distributes money to 5 more people than Sanya and Sanya gives each Rs1 more than Vidushi. How many people are recipients of the charity
A.45 B.60 C.90 D.None of these

70 From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells 1/3rd of the remaining apples plus 1 to the second customer and 1/5th of the remaining apples plus 1 to the third customer. He then finds that he has 3 apples left. How many apples did he have originally
A.15 B.18 C.20 D.25

71 At an International dinner, 1/5 of the people attending were French men. If the number of French women at the dinner was 2/3 greater than the number of French men and there were no other French people at the dinner, then what fraction of the people at the dinner were not French
A.1/5 B.2/5 C.2/3 D.7/15

72 A boy read 3/5th of the book on one day and 4/5th of the remainder on another day. If there were 30 pages unread, how many pages did the book contain
A.240 B.300 C.600 D.None of these

73 The fluid contained in a bucket can fill four large bottles or seven small bottles. A full large bottle is used to fill an empty small bottle. What fraction of the fluid is left over in the large bottle when the small one is full
A.2/7 B.3/7 C.4/7 D5/7

74 Peter gave one -fourth of the amount he had to Michael. Michael in turn gave half of what he received from Peter to Sam. If the difference between the remaining amount with Peter and the amount received by Sam is Rs 500, how much money did Michael receive from Peter
A.Rs 100 B.Rs 200 C.Rs 400 D.Data Inadequate E.None of these

75 A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips
A.4/9 B.5/4 C.5/8 D.5/9

76 In a family, the father took 1/4th of the cake and he had 3 times as much as each of the other members had. The total number of family members is
A.3 B.7 C.10 D.12

77 In a garden there are 10 rows and 12 columns of mango tree. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
A.20m B.22m C.24m D.26m

78 Along a yard 225 metres long, 26 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
A.8m B.9m C.10m D.15 m

79 The total monthly salary of 4 men and 2 women is Rs 46000. If a woman earns Rs 500 more than a man , what is the monthly salary of a woman
A.Rs 6500 B.Rs 7500 C.Rs 8000 D.Rs 9000

80 David got two and a half times as many marks in English as in History. If his total marks in the two subjects are 140, the marks obtained by him in English are
A.40 B.75 C.90 D.100

81 A pineapple costs Rs 7 each . A watermelon costs Rs 5 each. X spends Rs 38 on these fruits. The number of pineapples purchased is
A.2 B.3 C.4 D.Data Inadequate

82 Water boils at 212® F or 100® C and melts at 32® F or 0® C. If the temperature of a particular day is 35® C, it is equivalent to
A.85® F B.90® F C.95®F D.99® F

83 The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is
A.14 B.24 C.48 D.114

84 A class starts at 10am and lasts till 1:27 pm. Four periods are held during this interval . After every period , 5 minutes are given free to the students. The exact duration of each period is
A.42 min B.48min C.51min D.53min

85 A light was seen at intervals of 13 sec. It was seen for the first time at 1 hr 54 min 50 sec am and the last time at 3 hrs 17 min 49 secs am. How many times was the light seen
A.360 B.375 C.378 D.384

86 A man earns Rs20 on the first day and spends Rs 15 on the next day. He again earns Rs 20 on the third day and spends Rs 15 on the fourth day. If he continues to save likes this, how soon will he have Rs 60 in hand
A.On 17th day B.On 27th day C.On 30th day D.On 40th day

87 The total number of digits used in numbering the pages of a book having 366 pages is
A.732 B.990 C.1098 D.1305

88 A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have
A.1000 B.1074 C.1075 D.1080

89 If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
A.2 B.3 C.4 D.6

90 Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
A.3 B.10 C.17 D.20

91 The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is
A.12√10 B.24√10 C.120 D.None of these

92 In a two digit number , if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
A.24 B.26 C.42 D.46

93 The difference between a two-digit number and the number obtained by interchanging the position of its digits is 36. What is the difference between the two digits of the number
A.3 B.4 C.9 D.cannot be determined E.None of these

94 The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2
A.4 B.8 C.16 D.None of these

95 A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if the digits are reversed. The number is
A.145 B.253 C.370 D.352

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Mathematics: Find a positive number which when increased by 17 is equal
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