**SSC Mathematics Topic Wise Solved Papers – Average**

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

**1.The average of the first 100 positive integers is (SSC CGL 1st Sit. 2010)**

(a) 100

(b) 51

(c) 50.5

(d) 49.5

**2.In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only ****son is 27 years. What is the age of the son ? (SSC CGL 1st Sit. 2010)**

(a) 12 years

(b) 11 years

(c) 10.5 years

(d) 10 years

**3.The average of odd numbers upto 100 is (SSC CGL 2nd Sit. 2010)**

(a) 50.5

(b) 50

(c) 49.5

(d) 49

**4.The mean of 50 numbers is 30. Later it was discovered that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean. (SSC CGL 1st Sit. 2011)**

(a) 36.12

(b) 30.66

(c) 29.28

(d) 38.21

**5.The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last ****of the three numbers ? (SSC CGL 1st Sit. 2011)**

(a) 15

(b) 17

(c) 19

(d) Data inadequate

**6.The average of 18 observations is recorded as 124. Later it was found that two observations with values 64 and 28 were ****entered wrongly as 46 and 82. Find the correct average of the 18 observations. (SSC CGL 2nd Sit. 2011)**

(a) 111 7/9

(b)122

(c)123

(d) 137 3/7

**7.The average age of four boys, five years ago was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is (SSC CGL 1st Sit. 2012)**

(a) 14 years

(b) 6 years

(c) 15 years

(d) 19 years

**8.If the average of 39,48,51,63,75,83, x and 69 is 60, then the value of x is (SSC CGL 1st Sit. 2012)**

(a) 52

(b) 53

(c) 50

(d) 51

**9.The average temperature of Monday, Tuesday and Wednesday was 30°C and that of Tuesday, Wednesday and Thursday was 33 °C. If the temperature on Monday was 32°C, then the temperature on Thursday was: (SSC CGL 2012) **

(a) 33°C

(b) 30°C

(c) 41 °C

(d) 32°C

**10.The mean of 19 observation is 24. If the mean of the first 10 observations is 17 and that of the last 10 observations is 24, find the 10th observation. (SSC CGL 1st Sit. 2012)**

(a) 65

(b) 37

(c) -46

(d) 53

**11. The average age of a jury of 5 is 40. If a member aged 35 resigns and a man aged 25 becomes a member, then the average age of the new jury is (SSC CGL 2nd Sit. 2012)**

(a) 30

(b) 38

(c) 40

(d) 42

**12. The average of 5 consecutive numbers is n. If the next two numbers are also included, the average of the 7 numbers will (SSC CGL 2nd Sit. 2012)**

(a) increase by 2

(b) increase by 1

(c) remain the same

(d) increase by 1.4

**13. A batsman in his 12th innings makes a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings? (SSC CHSL 2012)**

(a) 13

(b) 41

(c) 49

(d) 87

**14. The average of four consecutive even numbers is 9. Find the largest number. (SSC CHSL 2012)**

(a) 12

(b) 6

(c) 8

(d) 10

**15. The average weight of 12 crewmen in a boat is increased by 1/3 kg, when one of the crewmen whose weight is 55 kg is ****replaced by a new man. What is the weight of that new men? (SSC CHSL 2012)**

(a) 58

(b) 60

(c) 57

(d) 59

**16. Out of 10 teachers of a school, one teacher retires and in his place, a new teacher of age 25 years joins. As a result, average age of teachers is reduced by 3 years. The age (in years) of the retired teacher is : (SSC CGL 1st Sit. 2013)**

(a) 50

(b) 58

(c) 60

(d) 55

**17. The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of the remaining numbers is: (SSC CGL 1st Sit. 2013)**

(a) 36

(b) 35

(c) 32.5

(d) 37.5

**18. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is (SSC CGL 1st Sit. 2013)**

(a) 45

(b) 40

(c) 50

(d) 55

**19. The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is (SSC CGL 1st Sit. 2013)**

(a) 24

(b) 44

(c) 30

(d) 34

**20. The average of the first nine integral multiples of 3 is (SSC CGL 1st Sit. 2013)**

(a) 15

(b) 18

(c) 21

(d) 12

**21. Out of 40 boys in a class, average weight of 30 is 60 kg and the average weight of the remaining is 56 kg. The average weight (in kilogram) of the whole class is (SSC CGL 2st Sit. 2013)**

(a) 58.5

(b) 58

(c) 57

(d) 59

**22 The average of the first five multiples of 7 will be (SSC CGL 2nd Sit. 2013)**

(a) 14

(b) 21

(c) 17.5

(d) 24.5

**23. If a, b, c, d, e are five consecutive odd numbers, their average is (SSC CGL 2nd Sit. 2013)**

(a) 5 (a + 4)

(b)abcde/5

(c) 5 (a + b + c + d+ e)

(d) a + 4

**24. The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is (SSC CGL 2nd Sit. 2013)**

(a) 16

(b) 15

(c) 14

(d) 13

**25. Out of 20 boys, 6 are each of 1 m 15 cm height, 8 are of 1 m 10 cm and rest, of 1 m 12 cm. The average height of all of them is (SSC Multitasking 2013)**

(a) 1 m 12 cm

(b) 1 m 12.1 cm

(c) 1 m 21.1 cm

(d) 1 m 21cm

**26. Average of first five prime numbers is (SSC Multitasking 2013)**

(a) 3.6

(b) 53

(c) 5.6

(d) 5

**27. The batting average for 30 inings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is: (SSC Sub. Ins. 2013)**

(a) 15

(b) 18

(c) 20

(d) 12

**28. On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance. 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed in km/hour, for the whole journey is: (SSC Sub. Ins. 2013)**

(a) 42

(b) 40

(c) 35

(d) 45

**29. The average of 30 numbers is 40 and that of other 40 numbers is 30. The average of all the numbers is (SSC CHSL 2013)**

(a) 34.5

(b) 34 2/7

(c) 35

(d) 34

**30. The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of 50 is 4 : 1. The total of the ages (in years) of the boys in the class is (SSC CGL 2014)**

(a) 2000

(b) 2500

(c) 800

(d) 400

**31. There are 100 students in 3 sections A, B and C of a class. The average marks of all the 3 sections was 84. The average of B and C was 87.5 and the average marks of A is 70. The number of students in A was (SSC CGL 2014)**

(a) 30

(b) 35

(c) 20

(d) 25

**32. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the newman (in kg). (SSC CGL 1st Sit. 2015)**

(a) 65

(b) 66

(c) 43

(d) 67

**33. What is the Arithmetic mean of the first ‘n’ natural numbers? (SSC CGL 1st Sit. 2015)**

**34. The average height of 8 students is 152 cm. Two more students of heights 144 cm and 155 cm join the group. What is the new average height ? (SSC Multitasking 2014)**

(a) 151.5 cm

(b) 152.5 cm

(c) 151cm

(d) 150.5 cm

**35. The batting average of a cricket player for 30 innings is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is (SSC Multitasking 2014)**

(a) 18

(b) 20

(c) 12

(d) 15

**36. A boy found that the average of 20 numbers is 35 when he writes a number ’61’ instead of ’16’. The correct average of 20 numbers is (SSC Sub. Ins. 2014)**

(a) 32.75

(b) 37.25

(c) 34.75

(d) 34.25

**37. The average salary of all the workers in a workshop is Rs 8,000. The average salary of 7 technicians is Rs 12,000 and the average salary of the rest is Rs 6,000. The total number of workers in the workshop is (SSC CHSL 2014)**

(a) 20

(b) 21

(c) 22

(d) 23

**38. 3 years ago the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is (SSC CHSL 2014)**

(a) 1 year

(b) 1 1/2 years

(c) 2 years

(d) 3 years

**39. What is the arithmetic mean of first 20 odd natural numbers? (SSC CGL 1st Sit. 2015)**

(a) 17

(b) 19

(c) 22

(d) 20

**40. The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural number is: (SSC Sub. Ins. 2015)**

(a)20

(b)30

(c)15

(d)10

**41. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is : ****(SSC CHSL 2015)**

(a) 70

(b) 70.5

(c) 68

(d) 67

**42. The average of 100 observations was calculated as 35.It was found later, that one of the observation was misread as 83 instead of 53. The correct average is: (SSC CGL 1st Sit. 2016)**

(a) 32.7

(b) 34.7

(c) 35.7

(d) 36.7

**43. At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. Then the distance between Kolkata and Ranchi is (SSC CGL 1st Sit. 2016)**

(a) 560 Km

(b) 506 Km

(c) 560m

(d) 650 m

**44. Visitors to a show were charged Rs 15 each on the first day,Rs 7.50 on the second day, Rs 2.50 on the third day and total attendance on three days were in the ratio 2:5:13 respectively. The average charge per person for the entire three days is (SSC CGL 2nd Sit. 2016)**

(a) Rs 5

(b) Rs 5.50

(c) Rs 6

(d) Rs 7

**45. The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is (SSC CGL 2nd Sit. 2016)**

(a) 35

(b) 45

(c) 55

(d) 65

**46. The average of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18. The correct average of the observations is (SSC CGL 2nd Sit. 2016)**

(a) 28

(b) 42

(c) 32

(d) 45

**47. The average monthly income of A and B is Rs 15, 050, the average monthly income of B and C is Rs 15, 350 and the average income of A and C is Rs 15,200. The monthly income of A is (SSC Sub. Ins. 2016)**

(a) Rs 15,900

(b) Rs 15,200

(c) Rs 14,900

(d) Rs 15,500

**48. The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result? (SSC CGL 2017)**

(a) 39

(b) 78

(c) 117

(d) 156

**49. The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member? (SSC CGL 2017)**

(a) 16

(b) 20

(c) 24

(d) 32

**50. The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members? (SSC CGL 2017)**

(a) 36.5

(b) 37.2

(c) 38.3

(d) 38.7

**51. The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches? (SSC CGL 2017)**

(a) 15

(b) 32

(c) 35

(d) 53.5

**52. The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find the mean of marks of the students of three divisions of Class X. (SSC CHSL 2017)**

(a) 60.05

(b) 59.35

(c) 62.15

(d) 60.75

**53. The average age of 30 students is 20 years and average age of 20 other students is 30 years. The average age of total number of students is: (SSC MTS 2017)**

(a) 24 years

(b) 48 years

(c) 25 years

(d) 50 years

**54. What is the average of the squares of the first 19 natural numbers? (SSC Sub. Ins. 2017)**

(a) 124

(b) 127.5

(c) 130

(d) 133.5

**55. In a match, average of runs scored by 5 players is 49. If the runs scored by four players are 75,30,62 and 21 respectively, then how many runs did the 5th player had scored? (SSC Sub. Ins. 2017)**

(a) 43

(b) 49

(c) 57

(d) 89

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