EXERCISE -1
1) Find the average of first 7 even natural numbers.
A) 8 B) 9 C) 10 D) 11
2) The number of children in 25 families of a locality are recorded as follows: 3,1,4,0, 2,2, 1,1, 2, 3, 3, 2, 2, 2, 5, 0, 1, 4, 1, 2, 1, 2, 3, 0, 1, 4. Find the average of number of children per family.
A) 2 B) 3 C) 4 D) 5
3) The marks obtained by by 10 students in a test are 56, 54, 71, 60, 62, 72, 59, 64, 70, 52. Find
i) the mean marks of the student
A) 62 B) 63 C) 64 D) 65
ii) The average marks of the student if 5 extra marks are given to each student.
A) 67 B) 69 C) 70 D) 72
4) A student obtained 60, 75 and 85 marks, respectively in three monthly examination in Physics and 95 marks in the final examination. The three monthly examination are of equal weightage whereas the final examination is waghted twice as much as a monthly examination. Find his average marks for Physics.
A) 82 B) 85 C) 86 D) 88
5) Find the average of
i) first five natural natural numbers.
A) 3 B) 5 C) 6 D) 9
ii) first five positive odd integers
A) 5 B) 6 C) 9 D) 4.5
iii) first five multiples of 3 multiples of 3.
A) 6 B) 9 C) 4.5 D) none
iv) all factors of 10.
A) 5 B) 6 C) 9 D) 4.5
6) find the average of x, x+2, x+4, x+6, and x+8.
A) x B) x+3 C) x+4 D) x + 5
7) If the average of 6, 8, 5, 7, x and 4 is 7, find the value of x.
A)12 B) 14 C) 20 D) 24
8) If the average of 6, 4, 7, p and 10 is 8, find the value of p.
A) 13 B) 14 C) 15 D) 16
9) If the average of 5 numbers is 7, find the average of another 5 numbers numbers which are obtained by adding 2 to each case of the 5 numbers.
A) 9 B) 10 C) 12 D) 15
10) The average of 8 numbers is 15. If each number is multiplied by 2, what will be the new average.
A) 30 B) 32 C) 35 D) 40
11) The average is 21 numbers is 15. If each number is multiplied by 2, what will be the new average.
A) 30 B) 20 C) 25 D) 222
12) There are 45 students In a class, of which 15 are girls. The average weight of 15 girls is 45 kg and that of 30 boys is 52kg. Find the average weight in kg of the entire class.
A) 45 B) 47 C) 49.67 D) 50.21
13) Average of 25 observations was found to be 78.4. but later on it was discovered that 96 was misread as 69. Find the correct average.
A) 88.9 B) 90.7 C) 79.48 D) 97
14) Average of 40 observations was 160. It was detected on rechecking that the value 165 was wrongly occupied as 125 for computation of average. Find the correct average
A) 16.1 B) 17 C) 18.2 D) 19
15) The average weight per student in a group of seven students is 55 kg. The individual weight(in kg) of 6 of them are 52, 58, 55, 53, 56, and 54. Find the weight of the 7th student.
A) 55.5 B) 57 C) 65.2 D) 70
16) The average weight of 150 students in a certain class is 60 kg. The average weight of boys in the class of 70 kg and that of the girls is 55kg. Find the number of boys and the number of girls in the class.
A) 50, 100 B) 60, 200 C) 75, 100 D) n
17) In a class, the average score of girls in an examination in 73 and that of a boy is 71. The average score for the whole class 71.8. Find the percentage of girls and the boys in the boys in the class.
A) 20, 30% B) 30, 40% C) 40, 60% D) 70, 80%
18) A train travels between two stations A and B, while going from A to B, its average speed is 100 km/hr, and when coming back from B to A, its average speed is 150 km/hr. Find the average speed during the whole journey.
A) 120 B) 140 C) 150 D) 200
19) The average height of 10 students is 153 centimetre. it is discovered later on that while calculating the reading 151cm was wrongly read as as 141cm. Find the correct average.
A) 144 B) 150 C) 154 D) 160
20) The average of five number is 27. If one number is excluded, their average is 25. Find the excluded number.
A) 25 B) 30 C) 35 D) 40
21) There are 50 students In a class of which 40 are and the rest girls. The average weight of the the class is 44 kg and the average weight of the girls is 40 kg. Find the average weight of the the boys.
A) 35 B) 30 C) 40 D) 45
22) There are 120 boys in a class in which twenty of them are girls and the rest boys. If the average marks in Maths of the boys is 65% and that of the girl is 80%. Find the average mark of the class.
A) 56.83 B) 65.6 C) 76.8 C) 88.8 D) none
23) The average score of boys in an examination of a school is 71 and that of girls is 73. The average of the school in that examination in 71.8. Find the ratio of the number of boys to the number of girls appeared in the examination.
A) 3:2 B) 2:3 C) 4: 5 D) 5: 4
24) The average marks secured by 25 students of of section A of class 47, that of 35 students of section B is 51 and that of 30 students of Section C is 53 students of Section C is 53 . Find the average of the marks of students of three sections of class sections of class X.
A) 50.55 B) 65 C) 65.6 C) 70 D) n
25) The average monthly wage of a group of 10 persons is Rs.1500. One member of the group whose monthly wage is Rs1350, left the group and is replaced by a new member whose monthly wage is Rs.1200. Find the new monthly wage.
A) 1145 B) 1245 C) 1345 D) 1485
26) The average monthly salary of 10 members of a group is Rs1445. One more member whose monthly salary is Rs1500 has joined the group. Find the average monthly salary of 11 members of the group.
A) 1150 B) 1245 C) 2350 D) 1450
27) The average marks secured by hundred students was found to be 40. later on it was discovered that score of 53 was misread 83. Find the correct average.
A) 30.9 B) 32.7 C) 35.7 D) 39.7
28) The aggregate monthly expenditure of a family was Rs 4050 during the first three months. Rs 4260 during the next four months and Rs4326 during the last five months of a year. If the total saving during the year be Rs 6120, find the average average monthly income.
A) 4050 B) 4678 C) 4690 D) n
29) the average of 11 results is 50. If the average of the first six results is 49 and that of last is 52, find the sixth sixth result.
A) 50 B) 52 C) 55 D) 56
30) A batsman in his 12th innings makes a score 63 runs and thereby increases his average score by 2. What is his average after the 12th innings.
A) 41 B) 43 C) 44 D) 46
31) The average age of 8 persons in a committee is increased by 2 years, when 2 men aged 35 years and 45 years are substituted by two women. Find the average age of these women.
A) 40 B) 42 C) 45 D) 48
32) A Car owner buys petrol at Rs 17, Rs19 and Rs 20 per litre for 3 consecutive years. compute the average cost pee litre, If he spends Rs 6460 per year.
A) 18.58 B) 20.20 C) 21.30 D) 19.92
EXERCISE -2
1) The average of a batsman after 25 innings was 56 runs per innings. If after the 26th innings his average increases by 2 runs, then what was his score in the 26th innings?
A) 100 B) 102 C) 104 D) 108
2) The average age of class of 30 students and a teacher reduces by 0.5 years if we exclude the teacher. If the initial average is 14 years, find the age of the class teacher.
A) 25 B) 27 C) 29 D) 30
3) the average marks of a group of 20 student on a test is reduced by 4 when the topper who scored a 90 marks is replaced by a new student. How many marks did the new student have ?
A) 10 B) 60 C) 80 D) 40
4) The average age of 3 students A, B and C is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 more marks more than D, joins the group, the average of the 4 students B, C, D and E becomes 43 marks. Find how many marks A got in the exam.
A) 38 C) 39 C) 40 D) 43
5) the average temperature of Monday to Wednesday 27°C and of Tuesday to Thursday was 24°C. if the temperature on Thursday was 2/3rd of the temperature on Monday what was the temperature on a Monday, what was the temperature on Thursday
A) 40 B) 37 C) 24 D) 20 E) none
6) A person covers half his journey by train at 60 kmph, remainder half by bus at 30 kmph and the rest by cycle at 10 kmph. Find his speed during the entire journey
A) 20 B) 24 C) 30 D) 18 E) none
7) A school has only three classes that contains 10, 20 and 30 students respectively. The pass percentage of thse classes at 20%, 30% then 40% respectively. Find the pass percentage of the entire school.
A) 2 B) 6 C) 12 D) 20 E) none
8) P, Q and R are paid ₹6300 for doing a piece of work together. P and Q start the work and continue to work together for 10 days. After that P quits while, R joins Q and they complete the remaining work. How much does Q receive for his work, given that P can do the work in 30 days, Q in 60 days and R in 90 days?
A) ₹2940 B) ₹3000 C) Rs3500 D)₹ 4000 E) ₹3600
9) The average age of 24 students and the principle is 15 years. When were the principal's age is excluded, the average age decreased by 1 year. What is the age of the principal?
A) 38 B) 40 C) 39 D) 37 D) none
10) the average weight of 3 men A, B and C is 84kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 78kg. The weight of A is
A) 70 kg B) 72kg C) 79kg D) 78 kg E) 80 kg
11) Taps P and Q can fill up a Jug in 50 seconds and 40 seconds respectively. Tap R(which is attached to the jug) can empty the jug in 30 seconds. If taps P, Q and R are opened in turn, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled?
A) 600/7s B) 256 C) 253 D) 230.6 E) 225
12) the mean temperature of Monday to Wednesday was 37°C and Tuesday to Thursday was 34°C, if the temperature on Thursday was 4/5 that of Monday, the temperature on Thursday was
A) 38°C B) 36°C C) 40°C D) 39°C E) none
13) 3 years ago, the average age of A, B and C was 27 years and that of B and C 5 years ago was 20 years. A's present age is
A) 30 years B) 35 years C) 40yrs D) 48yrs E) n
14) Sameer can do a piece of work in 9 hours. Rahul can do the same piece of work in 8 hours. Their boss asks them to work along the Ronak and hence they finish the work in 3 hours. If their Boss offers them ₹ 7200 for the work, how much does Ronak earn ?
A) 6900 B) 5000 C) 2100 D) 8000 E) 4200
15) An empty barrel of 240 litres capacity can be filled with beer by 2 pipes P and Q, in 30 minutes and 60 minutes respectively. Pipe R can empty the full barrel in 120 minutes. if the 3 pipes are opened simultaneously, how much beer can accumulate in 15 minutes?
A) 14 litre B) 150 litre C) 60 litre D) 10 litre E) 90 litre
16) Tendulkar has a certain average for 9 innings,. In the 10th innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is
A) 20 B) 24 C) 28 E) 32 F) 36
17) The average of the first 5 multiples of 7 is
A) 20 B) 21 C) 28 D) 30 E) 31
18) There are three fractions A, B and C. If A= 1/4 and B= 1/6 and the average of A,B and C is 1/12. What is the value of C ?
A) -1/2 B) -1/6 C) -1/3 D) -1/4 E) none
19) The marks obtained by Ram in Mathematics, English and Biology are respectively 93 out of 100, 78 out of 150 and 177 out of 200. Find his average score in percentage.
A) 87.83 B) 86.83 C) 76.33 D) 75.33 E) 7u.83
20) The average monthly expenditure of a family was ₹2750 for the first three months, ₹3150 for the next three months and ₹6750 for the next 3 months. Find the average income of the family for the 9 months, if they save ₹650 per month
A) 4866.66 B) 5123.33 C) 4666.66 D) 4216 66 E) none
21) the average age of a family of 6 members is 22 yrs. If the age of the youngest member is 7 years, what was the average age of the family at the birth of the Youngest member?
A) 15 B) 18 C) 21 D) 12 E) n
22) The average age of 8 person in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. Find the average age of the two women.
A) 48 B) 45 C) 51 D) 42 E) 46
23) the average temperature for Wednesday ,Thursday and Friday was 40 degree. the average for Thursday, Friday and Saturday was 41°C. If the temperature on Saturday was 42°C, what was the temperature on Wednesday?
A) 39 B) 44 C) 38 D) 41 E) n
24) the speed of the train is going from Nagpur to Allahabad is 100 km/hr while when coming back from Allahabad to Nagpur, its speed is 150 km/hr. Find the average speed during the whole journey.
A) 125 B) 75 C) 135 D) 141 E) 120
25)
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