Math Test paper 6 for Bank Po Exam

Average Problems for BANK Exams

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Average: Practice Questions for SSC, IBPS and SBI PO

Q1. The average of 11 numbers is 36, and average of first 9 numbers is 34. If last  two numbers are in the ratio 2 : 3 then find the smallest number in the last two.
(A)
18                (B) 36                 (C) 54                 (D) 60

Q2. Find the average of all the numbers between 23 and 177 which are divisible by 5.
(A)
90                (B) 100              (C) 95                   (D) 105

Q3. The average age of A,B and C is 23. Four years after the average age of A and B will be 29. What was  the age of C, 3 years before the present age ?
(A)
16                 (B) 17                 (C) 18                   (D) 19

Q4. Find the average of 100,121,144,169,196,……………………………….,400.
(A)
225              (B) 235               (C) 230                 (D) 240

Q5. What is the average of first 16 multiples of 14 ?
(A)
115               (B) 120                (C) 116                  (D) 119

Q6. The average marks of 120 students is 50. If the average marks of passing students is 70 and the average marks of failure students is 22. What is the number of failure students ?
(A)
50                  (B) 45               (C) 60                   (D) 55

Q7. A man walks ⅝ part of his journey at a speed of 5 kmph and remaining at a speed of 3 kmph. What is the average speed during his whole journey ?
(A)
3.5                 (B) 4.2                (C) 4.5                   (D) 4

Q8. What is the average of 1, 23, 33,……………………………………….,403 ? 
(A)
16000            (B) 15810          (C) 16781             (D) 16810      

Q9.The average age of 18 men decreases by 1 when two men of age 38 and 44 are replaced by two women. Find the average age of two women.
(A)
32                    (B) 34                   (C) 35                        (D) 30

Q10. The average of 13 consecutive odd numbers is 25. What is the smallest odd number?
             (A) 10                   (B) 12                    (C) 13                         (D) 11

Q11. The average age of a school of 35 teachers is 32. If the age of the principal be included then the average increases by 4 months. Find the age of principal. 
              (A) 44                 (B) 47                  (C) 45                        (D) 42

Q12. What fraction should be added to these three fractions 1/7, 4/15 and 2/5 such that the average of four fractions is ¼ ?
               (A) 2/21             (B) 1/5                  (C) 4/21                  (D) 2/5

Q13. What is the average of all even numbers between 100 and 1000 ?
                (A) 500              (B) 550                 (C) 600              (D) 650

Q14. The total age of A,B and C is 70 more than the age of C. what is the average age of A and B ?
               (A) 30                       (B) 33                    (C) 36                       (D) 35

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Q15. The average of 40 numbers is 12. If the average of first 13 number is 9, average of second 13 numbers is 13 and average of third 13 numbers is 12. What is the 40th number ?
                (A) 25                      (B) 13                    (C) 38                     (D) 24

Q16. If the average of A,B and C is 50, average of B and C is 70, average of  A and C is 65. What is the average of A and B ?
                (A) 10                     (B) 60                    (C) 55                      (D) 15

Q17. The average score of a school in an examination is 75. If the average score of boys is 69, and the ratio of the numbers of boys to the girls is 5 : 3 . What is the average score of girls ?
               (A) 85                     (B) 80                   (C) 81                       (D) 78

Q18. The average age of some students in a class is 8. If their class teacher is included whose age is 40, the average age of whole class increases by 2. What are the number of students in a class ?
                (A) 20                    (B) 10                   (C) 12                   (D) 15

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Q19. A man travels from point A to B in such a way that, he travels half distance at a speed of 80 kmph and half distance at a speed of 20 kmph. And then returns from B to A in the same manner i.e. half at a speed of 60 kmph and half at a speed of 40 kmph. Find his average speed during the whole journey.
                (A) 37.5                      (B) 36.4                (C) 38.4                (D) 39.4

Q20. The average of 31 numbers is 27. If three numbers 31,25 and 46 are discarded, the average of the remaining numbers is
                   (A) 25.5                   (B) 24.5                 (C) 26.25                 (D) 26

Q21. The average marks obtained by a student in 7 papers is 35 and in the 8th paper he obtains  75 marks. Find his new average.
                     (A) 37                     (B) 40                     (C) 39                   (D) 42

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Q22.  The average age of a family of 7 members is 25. The age of  two youngest members, namely Rahul and Tarun are 4 and 7 respectively. Find the average age of family at the birth of Tarun .
                     (A) 20                   (B) 20.5                  (C) 21                     (D) 21.5

Q23. A man travels one-fourth part of a journey at a speed of 8 kmph, next three – fifth part at a speed of 6 kmph and remaining part at a  speed of 10 kmph. What  is the average speed of a man during his whole journey ?
                       (A) 7.8                (B) 6.23                (C) 6.83                  (D) 7.2

Q24.  In a 50 over match, the required run rate to win is 6.6. If the run rate is 6.5 at the End of 46th over, the required run rate to win the match is.
                         (A) 6.75                         (B) 6.55              (C) 7.75               (D) 7.25

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Q25. There are in all 15 pen, some of them are red and the others are green. The average cost of all pens is 23. If the average cost of red pen is Rs. 27 and that of green pen is Rs. 21, the number of green pen is.
                          (A) 10                        (B) 12                (C) 15                    (D) 13

Q26. The average of the 30 numbers is 22. The average of the first 14 number is 30. The average of the rest is.
                       (A) 12                     (B) 15                    (C) 11                        (D) 13

Q27. The average marks of 150 students in a school is 43. The average marks of boys and girls are 41 and 46 respectively. The number of boys in a  school is .
                   (A) 90                    (B) 60                     (C) 30                      (D) 120

Q28. The average of the first 102 multiples of 2 is
                   (A) 100                   (B) 101                    (C) 102                  (D) 103

Q29. The average of 12 numbers is 17. But a number 18 is misread as 12. Find the correct average
                     (A) 16.5                   (B) 17                   (C) 17.5                (D) 16

Q30. The average of 13 numbers is 23. If two numbers are excluded, the average becomes 22. The average of the excluded numbers is
                      (A) 28                  (B) 28.5                 (C) 29                 (D) 30                                                           Best Books for Competitive Exam

Q31. In a class the average score of all students is 32. If the average score of boys and girls are 31 and 35. Find the percentage of girls. 
                   (A) 25%                     (B) 20%                  (C) 30%               33.33%

Q32.The average age of 10 players of a team is 24. If the captain’s age is included, the average age increases by 1. The age of the captain is
                        (A) 30                         (B) 32                     (C) 35               (D) 36

Q33. There are 24 balls, some are red and and the others are white. The average cost of all the balls is 40. If the average cost of red balls 35 and average cost of white balls is 43. Find the number of red balls.
                        (A) 9                       (B) 15                      (C) 12                  (D) 10

Q34. The average of the numbers 4, 424and 44 is
                       (A) 43                     (B) 85                   (C) 51                 (D) 26

Q35. The average of 37 numbers is 56. The average of first 18 numbers is 53 and the average of last 18 numbers is 58. Find the 19th number.
                       (A) 44                     (B) 54                   (C) 64                (D) 74

Q36. Find the average of the numbers 11,22,33,44,……………..1111.
                      (A) 500                       (B) 561                 (C) 582                     (D) 523

Q37. The average age of a family of 9 members is 20 years. The age of three youngest members Tushar, Prateek and Sachin are 3,4 and 5 years respectively. Find the average age of family at the birth of Sachin.
                             (A) 17                  (B) 20                  (C) 23                     (D) 26

Q38. The average of 11 numbers is 11. The average of first six numbers is 10 and the average of last 6 numbers is 14. Find the 6th number.
                         (A) 23                (B) 20             (C) 25                       (D) 26

Q39. The average age of four boys is 12. If their ages are in the ratio 2:3:4:7. What is the age of the youngest boy?
                     (A) 5                      (B) 8                 (C) 6                       (D) 4

Q40. The average weight of a class of 14 students is 33 kg . If their class teacher be included whose weight is 78 kg, then find the new average weight of class.
                     (A) 34                   (B) 35                     (C) 32                   (D) 36

Q41. The average of A and B is 36,average of  B and C is 24 and average of C and A is 54. Find the average of A,B and C.
                      (A) 30                  (B) 35                   (C) 36                (D) 38

Q42. Find the average of first 50 multiples of 32.
                    (A) 820               (B) 956                (C) 326                    (D) 816

Q43. The average of 13 numbers is 15. If every number is multiplied by 9, then the average of new numbers is
                  (A) 15                 (B) 24                (C) 135                         (D) 120

Q44. In a class there are 40 boys and their average age is 16 years. One boy aged 17 years leaves the school and another joins, and their average age becomes 15.95 years. What is the age of the new boy ?
                   (A) 14                       (B) 15                      (C) 16                     (D) 17

Q45. Find the average of all the numbers between 65 and 359, which are divisible by 33
                  (A) 180                  (B) 165.5                 (C) 129                     (D) 181.5

Q46. One student read 200 pages at the rate of 80 pages per hour. Another student read 150 pages at the rate of 60 pages per hour. What is the average rate of reading of both students together ?
                (A) 96                  (B) 75                  (C) 70                 (D) 85

Q47. The average expenditure of a man for the first 8 months of a year is Rs. 6000 and for the next 4 months it is Rs. 5000. He saves Rs. 7300 during the year. Find his average monthly income
                (A) 6000                   (B) 6275                 (C) 6500                 (D) 6775

Q48. The average of the numbers 18,20,22,24,……………………………256.
              (A) 156               (B) 137                     (C) 154                    (D) 126

Q49. Find the average of odd numbers up to 999.
              (A) 400                   (B) 600                     (C) 500                     (D) 700

Q50. The average of the following numbers 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 18, 18, 18, 18, 18, 18, 18, 22, 22, 22, 22, 22, 22, 22, 26, 26, 26, 26, 26, 26, 26, 30, 30, 30, 30, 30, 30, 30. 
              (A) 120                       (B) 122                      (C) 126                    (D) 128

Answer Key:-
1. B            2. B            3. A           4. B          5. D       6. A        7. D        8. D        9. A   10. C        11. A            12. C        13. B         14. D     15. C       16. D       17. A       18.D 19. C         20. C         21. B         22. D         23. C      24. C          25. A            26. B       27. A          28. D         29. C       30. B          31. A        32. C       33. A        34. B     35. D         36. B          37. C        38. A          39. D         40. D         41. D        42. D   43. C          44. B          45. D       46. C         47. B         48. B          49. C        50. D

These Notes have been provided by Plutus Academy, one of the best coaching institutes of SSC exam.

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