AVERAGE Questions With Answers

AVERAGE

1. The average of 5 consecutive odd numbers A, B, C, D and Eis 45. What is the product of B and D ?

(a) 2107 (b) 2205

 (c) 1935 (d) 2021

2. Find the average of the following set of scores

566, 455, 231, 678, 989, 342, 715

(a) 590 (b) 555 (c) 568 (d) 513

3. The average age of five officers in a department is 32 years. If the age of their supervisor is added the average is increased by 1. What is the supervisor's age?

(a) 32 years (b) 48 years

(c) 38 years (d) 42 years

4. If 47a + 47b = 5452 then what is the average of a and b ?

(a) 11 (b) 23.5

(c) 96 (d) 58

5. The average of five numbers is 281. The average of the first two numbers is 280 and the average of the last two numbers is 178.5. What is the third number ?

(a) 488 (b) 336

(c) 228 (d) 464

6. Out of three given numbers, the first number is twice the

second and thrice the third. If the average of the three numbers is 154, what is the difference between the first and the third number?

(a) 126 (b) 42

(c) 168 (d) 52

7. Average weight of three boys P, T and R is  54 1/3 kgs while the average weight of three boys, T, F and G is 53 kgs. What is the average weight of P, T, R, F and G?

(a) 53.8kgs (b) 52.4kgs

(c) 53.2kgs (d) Cannot be determined

8. The average weight of a group of 75 girls was calculated as 47 kgs. It was later discovered that the weight of one of the girls was read as 45 kgs., whereas her actual weight was 25 kgs. What is the actual average weight of the group of 75

girls? (Rounded off to two digits after decimal)

(a) 46.73 kgs. (b) 46.64 kgs.

(c) 45.96 kgs. (d) Cannot be determined

9. The sum of five numbers is 290. The average of the first two numbers is 48.5 and the average of last two numbers is 53.5. What is the third number?

(a) 72 (b) 86

(c) 96 (d) 108

10. The average of four positive integers is 73.5. The highest

integer is 108 and the lowest integer is 29. The difference

between the remaining two integers is 15. Which of the

following is the smaller of the remaining two integers ?

(a) 80 (b) 86

(c) 71 (d) Cannot be determined

11. The average monthly income of a family of four earning

members was Rs.15,130. One of the daughters in the family

got married and left home, so the average monthly income

of the family came down to Rs.14,660. What is the monthly

income of the married daughter?

(a) Rs.15,350 (b) Rs. 12,000

(c) Rs.16,540 (d) Cannot be determined

12. A sequence of seven consecutive integers is given. The

average of the first five given integers is n. Find the average

of all the seven integers.

(a) n (b) n– 1

(c) n + 1 (d)(n+1)/d

13. The average of 11 results is 50. If the average of first six

result is 49 and that of last six results is 52, find the sixth result.

(a) 2 (b) 64

(c) 56 (d) 65

14. In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, then x is

(a) 3 (b) 4

(c) 5 (d) 6

15. 30 pens and 75 pencils were purchased for Rs 510. If the

average price of a pencil was Rs 2.00, find the average price

of a pen.

(a) Rs.10 (b) Rs. 11

(c) Rs.12 (d) cannot be determined

16. The average of 20 numbers is zero. Of them, at the most,

how many may be greater than zero?

(a) 0 (b) 1

(c) 10 (d) 19

17. The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the averge would be 21. What are the age of A, B and C?

(a) 22, 18, 20 (b) 20, 20, 18

(c) 18, 22, 20 (d) None of these

18. The average age of a group of person going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their averagebecomes 15.5 years. Find the number of persons initially going for picnic.

(a) 20 (b) 18

(c) 22 (d) None of these

19. 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. What is the teacher’s age in years?

(a) 31 (b) 36

(c) 51 (d) cannot be determined

20. A batsman in his 12th innings makes a score of 65 and

thereby increases his average by 2 runs. What is his average

after the 12th innings if he had never been ‘not out’?

(a) 42 (b) 43

(c) 44 (d) 45

21. The average number of printing error per page in a book of 512 pages is 4. If the total number of printing error in the first 302 pages is 1,208, the average number of printing errors per page in the remaining pages is

(a) 0 (b) 4

(c) 840 (d) 90

22. The average of a batsman for 40 innings is 50 runs. His

highest score exceeds his lowest score by 172 runs. If these

two innings are excluded, his average drops by 2 runs. Find

his highest score.

(a) 172 (b) 173

(c) 174 (d) 175

23. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17^th inning.

(a) 36 (b) 39

(c) 42 (d) 45

24. Nine men went to a hotel. 8 of them spent ` 3 each over their meals and the ninth spent Rs 2 more than the average

expenditure of all the nine. The total money spent by all of

them was

(a) Rs 26 (b) Rs 40

(c) Rs 29.25 (d) Rs 27

25. The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.

(a) 151 (b) 149

(c) 152 (d) None of these

26. A car owner buys petrol at Rs 7.50, Rs 8.00 and Rs 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends Rs 4000 each

year ?

(a) Rs 8 (b) Rs 9

(c) Rs 7.98 (d) Rs 8.50

27. A family consists of grandparents, 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. What is the average age of the family?

(a)28 4/7 years (b)31 5/7 years (c)32 1/7 years (d) None of these

28. The average of two numbers is XY. If one number is X, then the other number is

(a) Y             (b)Y/2

(c) 2XY – X (d) X (Y – 1)

29. The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

(a) 40.2 (b) 40.4

(c) 40.6 (d) 40.8

30. If the mean score in mathematics of a class of 50 students is 45, then the total marks obtained by them are :

(a) 45 (b) 95

(c) 2250 (d) 50

31. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average

age of the remaining boys in the class ?

(a) 15. 25 (b) 14

(c) 14. 75 (d) Cannot be determined

32. The average of four consecutive odd numbers is 36. What is the smallest of these numbers ?

(a) 31 (b) 35

(c) 43 (d) None of these

33. The total of the ages of a class of 75 girls is 1050, the average age of 25 of them is 12 yrs and that of another 25 is 16 yr. Find the average age of the remaining girls.

(a) 12 yrs (b) 13 yrs

(c) 14 yrs (d) 15 yrs

34. The average age of a group of 16 persons is 28 yrs and 3

months. Two persons each 58 yrs old left the group. The

average age of the remaining persons is

(a) 26 (b) 24

(c) 22 (d) 20

35. The average weight of 8 persons is increased by 2.5 kg

when one of them who weighs 56 kg is replaced by a new

man. The weight of the new man is

(a) 73 kg (b) 72 kg

(c) 75 kg (d) None of these

36. A man drives to his office at 60 km/hr and returns home

along the same route 30 km/hr. Find the average speed.

(a) 50 km/hr (b) 45 km/hr

(c) 40 km/hr (d) 55 km/hr

37. One-third of a certain journey is covered at th rate of 25 km /hr, one-fourth at the rate of 30 km / hr and the rest at 50 km / hr. Find the average speed for the whole journey.

(a)33 1/3  km/ hr   (b)44 1/4 km / hr

(c) 33 1/5 km/hr   (d)44 1/5 km/ hr

38. Find the average of first 40 natural numbers.

(a) 20.2 (b) 20.8

(c) 20.1 (d) 20.5

39. Find the average of the first 12 multiples of 12.

(a) 82 (b) 86

(c) 79 (d) 78

40. The average marks of 90 students is 56. Later on it is found that marks of one student is misread as 36 instead of 63. Find the correct average.

(a) 56.2 (b) 56.3

(c) 56.4 (d) Cannot be determined

41. What is the average of all numbers from 1 to 100 that end at 6?

(a) 57 (b) 52

(c) 53 (d) 51

42. The ages of Aarzoo and Arnav are in the ratio of 11:13

respectively. After 7 years the ratio of their ages will be

20:23. What is the difference in years between their ages?

(a) 4 years (b) 7 years

(c) 6 years (d) 5 years

43. The average age of a woman and her daughter is 42 years. The ratio of their ages is 2:1. What is the daughter's age?

(a) 28 years (b) 48 years

(c) 52 years (d) 32 years

44. The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the

sum of the ages of his sons. The father's present age is

(a) 40 years (b) 45 years

(c) 50 years (d) 55 years

45. Abhay’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 Abhay’s father’s age at present?

(a) 30 yrs. (b) 40 yrs.

(c) 50 yrs. (d) 60 yrs.

46. The present ages of three persons are in proportions

4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find

their present ages (in years).

(a) 8, 20, 28 (b) 16, 28, 36

(c) 20, 35, 45 (d) 25, 30, 40

47. The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages is 34. Find the present age of father.

(a) 32 years (b) 36 years

(c) 38 years (d) 39 years

48. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest

child?

(a) 4 years (b) 8 years

(c) 10 years (d) 12 years

49. The present age of the father and the son are in the ratio of 8:3. After 12 years the ratio of their ages will be 2:1. What is the sum of the present age of the father and the son?

(a) 66yrs (b) 70yrs

(c) 74yrs (d) 78yrs

50. Out of the three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is 121, what is the difference between the first and the third number?

(a) 132 (b) 99 (c) 77 (d) 144

ANSWERS :

1 (d)    6 (c)    11 (c)    16 (d)   21 (b)    26 (c)    31 (a)   36 (c)   41 (d)    46 (b)

2 (c)    7 (d)    12 (c)    17 (a)   22 (c)     27 (b)   32 (d)   37 (a)   42 (c)    47 (d)

3 (c)    8 (a)    13 (c)    18 (a)   23 (b)     28 (c)   33 (c)   38 (d)   43 (a)    48 (a)

4 (d)    9 (b)    14 (b)   19 (c)   24 (c)      29 (a)   34 (b)  39 (d)   44 (b)    49 (a)

5 (a)   10 (c)    15 (c)   20 (b)   25 (a)      30 (c)   35 (d)  40 (b)   45 (c)     50 (a)