SSC CGL Previous Year Questions (2023-19): Average | SSC CGL Previous Year Papers PDF Download

 Page 1


 Pinnacle  Day: 84th - 86th  Average 
 Average 
 Key Points: 
 1)  An  average  or  arithmetic  mean  of 
 given  data  is  the  sum  of  the  given 
 observations  divided  by  the  number  of 
 observations. 
 For  example  :  If  we  have  to  ?nd  out  the 
 average  of  10,  15,  25  and  30,  then 
 required average will be equal to: 
 =  20 
 10    +    15    +    25    +    30 
 4 
=
 80 
 4 
 Therefore,  we  can  say,  Average  (A)  = 
 ??????     ????     ??h??     ??????????     ????????????????????????    ( ?? )
 ????????????     ????     ????????????????????????    ( ?? )
 2)  If  all  the  numbers  increase  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 increase by ‘a’. 
 3)  If  all  the  numbers  decrease  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 decrease by ‘a’. 
 4)  If  all  the  numbers  are  multiplied  by  ‘a’ 
 then  their  average  must  also  be 
 multiplied by ‘a’. 
 5)  If  all  the  numbers  are  divided  by  ‘a’ 
 then  their  average  must  also  be  divided 
 by ‘a’. 
 6)  Average of ?rst n natural numbers 
 = 
 ??       +    1 
 2 
( )
 7)  Average of ?rst n even numbers 
 = ( ?? + 1 )
 8)  Average of ?rst n odd numbers =  ?? 
 9)  Average of consecutive numbers 
 = 
 ??????????     ????????????    +    ????????     ???????????? 
 2 
 10)  Average of 1 to n odd numbers 
 = 
 ????????     ??????     ????????????       +    1 
 2 
 11)  Average of 1 to n even numbers 
 = 
 ????????     ????????     ????????????    +    2 
 2 
 12)  Average  of  squares  of  ?rst  n  natural 
 numbers = 
( ??    +    1 )( 2  ??    +    1 )
 6 
 13)  Average  of  cubes  of  ?rst  n  natural 
 numbers = 
 ?? ( ??    +    1 )
 2 
 4 
 14)  Average  of  n  multiples  of  any  number 
 = 
 ????????????        ×    ( ??    +    1 )
 2 
 15)  Combined  mean  or  combined 
 average : 
 If  the  mean  of  and  observations  are  ?? 
 1 
 ?? 
 2 
 and  respectively then,  ?? 
 1 
 ?? 
 2 
 Combined mean = 
 ?? 
 1 
 ?? 
 1 
      +    ?? 
 2 
 ?? 
 2 
   
    ?? 
 1 
   +    ?? 
 2 
 Ex  :  If  the  average  marks  of  30  boys  is  50 
 and  40  girls  is  60,  then  ?nd  the  combined 
 average marks of the whole class. 
 Soln :  Combined average marks of whole 
 class  =  = 
 30    ×    50    +    40    ×    60 
 30    +    40 
 =  = 55.71 marks 
 1500    +    2400 
 70 
 3900 
 70 
 16)  Basically  the  term  Run  Rate  means 
 how  many  runs  have  been  scored  in  one 
 over  of  a  cricket  match.  Higher  run  rate  is 
 good for batsmen. 
 Run rate = 
 ??????????     ????????     ???????????? 
    ????????????     ????     ??????????     ???????????? 
 Ex  :  If  the  batsman  has  scored  225  runs 
 in 9 overs, ?nd his run rate. 
 Soln : Run rate =  = 25 runs/over 
 225 
 9 
 17)  Bowling Average 
 = 
 ??????????     ????????     ?????????????? 
 ??????????     ????????????     ????     ??????????????     ?????????? 
 Lower  Bowling  average  is  good  for 
 bowlers. 
 Ex  :  If  the  bowler  has  taken  3  wickets 
 allowing  120  runs,  ?nd  his  bowling 
 average. 
 Bowling  Average  =  =  40 
 120 
 3 
 runs/wicket 
 18)  If  the  average  is  x  and  a  number 
 having  value  greater  than  x  is  added  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value  less 
 than  x  is  added  then  the  new  average  will 
 be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 6. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  6  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 greater than the old average. 
 So,  new  average  =  =  =  3.5 
 15    +    6 
 5    +    1 
 21 
 6 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  less  than 
 the old average. 
 So,  new  average  =  =  =  2.83 
 15    +    2 
 5    +    1 
 17 
 6 
 which is less than 3. 
 19)  If  the  average  is  x  and  a  number 
 having  value  less  than  x  is  removed  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value 
 greater than x is removed then the new 
 average will be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  greater 
 than the old average. 
 So,  new  average  =  =  =  3.25 
 15    -    2 
 5    -    1 
 13 
 4 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 4. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  4  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 less than the old average. 
 So,  new  average  =  =  =  2.75 
 15    -    4 
 5    -    1 
 11 
 4 
 which is less than 3. 
 Variety Questions 
 Q.1.  Rajender  is  working  as  a  delivery 
 boy  in  a  multinational  company.  The 
 company  is  paying  him  ?90  per  delivery. 
 In  a  fortnight  comprising  15  consecutive 
 working  days,  his  average  earnings  per 
 day  was  ?540.  If  his  average  earnings  of 
 the  ?rst  7  days  was  ?519  per  day  and 
 that  of  the  last  7  days  was  ?546  per  day, 
 then  at  was  his  earning  on  the  8th  day  of 
 the fortnight? 
 SSC CHSL 07/08/2023 (3rd Shift) 
 (a) ?571  (b) ?681   (c) ?661   (d) ?645 
 Q.2.  The  average  weight  of  a  group  of  12 
 children  is  66  kg.  If  2  children,  X  and  Y, 
 replace  A  and  B,  the  new  average  weight 
 becomes  65  kg.  The  weight  of  A=  weight 
 of  B  and  the  weight  of  X  =  weight  of  Y. 
 Another  child,  C,  is  included  in  the  group, 
 and  the  new  average  weight  remains  65 
 kg.  Weight  of  C=  weight  of  X.  Find  the 
 weight of A. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 69 kg  (b) 72 kg  (c)  71 kg (d) 67 kg 
 Q.3.  Sudesh  is  the  owner  of  a 
 multipurpose  shop.  For  a  speci?c  month, 
 his pro?ts are detailed below. 
 Category  Pro?t earned in  ? 
 Groceries                   50,000 
 Cosmetics  20,000 
 Ladies' dresses  10,000 
 In order to estimate the expected pro?t 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 610
Page 2


 Pinnacle  Day: 84th - 86th  Average 
 Average 
 Key Points: 
 1)  An  average  or  arithmetic  mean  of 
 given  data  is  the  sum  of  the  given 
 observations  divided  by  the  number  of 
 observations. 
 For  example  :  If  we  have  to  ?nd  out  the 
 average  of  10,  15,  25  and  30,  then 
 required average will be equal to: 
 =  20 
 10    +    15    +    25    +    30 
 4 
=
 80 
 4 
 Therefore,  we  can  say,  Average  (A)  = 
 ??????     ????     ??h??     ??????????     ????????????????????????    ( ?? )
 ????????????     ????     ????????????????????????    ( ?? )
 2)  If  all  the  numbers  increase  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 increase by ‘a’. 
 3)  If  all  the  numbers  decrease  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 decrease by ‘a’. 
 4)  If  all  the  numbers  are  multiplied  by  ‘a’ 
 then  their  average  must  also  be 
 multiplied by ‘a’. 
 5)  If  all  the  numbers  are  divided  by  ‘a’ 
 then  their  average  must  also  be  divided 
 by ‘a’. 
 6)  Average of ?rst n natural numbers 
 = 
 ??       +    1 
 2 
( )
 7)  Average of ?rst n even numbers 
 = ( ?? + 1 )
 8)  Average of ?rst n odd numbers =  ?? 
 9)  Average of consecutive numbers 
 = 
 ??????????     ????????????    +    ????????     ???????????? 
 2 
 10)  Average of 1 to n odd numbers 
 = 
 ????????     ??????     ????????????       +    1 
 2 
 11)  Average of 1 to n even numbers 
 = 
 ????????     ????????     ????????????    +    2 
 2 
 12)  Average  of  squares  of  ?rst  n  natural 
 numbers = 
( ??    +    1 )( 2  ??    +    1 )
 6 
 13)  Average  of  cubes  of  ?rst  n  natural 
 numbers = 
 ?? ( ??    +    1 )
 2 
 4 
 14)  Average  of  n  multiples  of  any  number 
 = 
 ????????????        ×    ( ??    +    1 )
 2 
 15)  Combined  mean  or  combined 
 average : 
 If  the  mean  of  and  observations  are  ?? 
 1 
 ?? 
 2 
 and  respectively then,  ?? 
 1 
 ?? 
 2 
 Combined mean = 
 ?? 
 1 
 ?? 
 1 
      +    ?? 
 2 
 ?? 
 2 
   
    ?? 
 1 
   +    ?? 
 2 
 Ex  :  If  the  average  marks  of  30  boys  is  50 
 and  40  girls  is  60,  then  ?nd  the  combined 
 average marks of the whole class. 
 Soln :  Combined average marks of whole 
 class  =  = 
 30    ×    50    +    40    ×    60 
 30    +    40 
 =  = 55.71 marks 
 1500    +    2400 
 70 
 3900 
 70 
 16)  Basically  the  term  Run  Rate  means 
 how  many  runs  have  been  scored  in  one 
 over  of  a  cricket  match.  Higher  run  rate  is 
 good for batsmen. 
 Run rate = 
 ??????????     ????????     ???????????? 
    ????????????     ????     ??????????     ???????????? 
 Ex  :  If  the  batsman  has  scored  225  runs 
 in 9 overs, ?nd his run rate. 
 Soln : Run rate =  = 25 runs/over 
 225 
 9 
 17)  Bowling Average 
 = 
 ??????????     ????????     ?????????????? 
 ??????????     ????????????     ????     ??????????????     ?????????? 
 Lower  Bowling  average  is  good  for 
 bowlers. 
 Ex  :  If  the  bowler  has  taken  3  wickets 
 allowing  120  runs,  ?nd  his  bowling 
 average. 
 Bowling  Average  =  =  40 
 120 
 3 
 runs/wicket 
 18)  If  the  average  is  x  and  a  number 
 having  value  greater  than  x  is  added  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value  less 
 than  x  is  added  then  the  new  average  will 
 be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 6. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  6  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 greater than the old average. 
 So,  new  average  =  =  =  3.5 
 15    +    6 
 5    +    1 
 21 
 6 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  less  than 
 the old average. 
 So,  new  average  =  =  =  2.83 
 15    +    2 
 5    +    1 
 17 
 6 
 which is less than 3. 
 19)  If  the  average  is  x  and  a  number 
 having  value  less  than  x  is  removed  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value 
 greater than x is removed then the new 
 average will be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  greater 
 than the old average. 
 So,  new  average  =  =  =  3.25 
 15    -    2 
 5    -    1 
 13 
 4 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 4. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  4  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 less than the old average. 
 So,  new  average  =  =  =  2.75 
 15    -    4 
 5    -    1 
 11 
 4 
 which is less than 3. 
 Variety Questions 
 Q.1.  Rajender  is  working  as  a  delivery 
 boy  in  a  multinational  company.  The 
 company  is  paying  him  ?90  per  delivery. 
 In  a  fortnight  comprising  15  consecutive 
 working  days,  his  average  earnings  per 
 day  was  ?540.  If  his  average  earnings  of 
 the  ?rst  7  days  was  ?519  per  day  and 
 that  of  the  last  7  days  was  ?546  per  day, 
 then  at  was  his  earning  on  the  8th  day  of 
 the fortnight? 
 SSC CHSL 07/08/2023 (3rd Shift) 
 (a) ?571  (b) ?681   (c) ?661   (d) ?645 
 Q.2.  The  average  weight  of  a  group  of  12 
 children  is  66  kg.  If  2  children,  X  and  Y, 
 replace  A  and  B,  the  new  average  weight 
 becomes  65  kg.  The  weight  of  A=  weight 
 of  B  and  the  weight  of  X  =  weight  of  Y. 
 Another  child,  C,  is  included  in  the  group, 
 and  the  new  average  weight  remains  65 
 kg.  Weight  of  C=  weight  of  X.  Find  the 
 weight of A. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 69 kg  (b) 72 kg  (c)  71 kg (d) 67 kg 
 Q.3.  Sudesh  is  the  owner  of  a 
 multipurpose  shop.  For  a  speci?c  month, 
 his pro?ts are detailed below. 
 Category  Pro?t earned in  ? 
 Groceries                   50,000 
 Cosmetics  20,000 
 Ladies' dresses  10,000 
 In order to estimate the expected pro?t 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 610
 Pinnacle  Day: 84th - 86th  Average 
 for  the  next  month,  he  assigns  the 
 weights  of  6,  5  and  8  to  the  different 
 categories  in  the  same  order.  What  will 
 be the weighted average of his pro?ts? 
 SSC CHSL 03/08/2023 (2nd Shift) 
 (a)  25,265.18 (nearly)  ? 
 (b)  24,863.16 (nearly)  ? 
 (c)  25,163.16 (nearly)  ? 
 (d)  25,263.16 (nearly)  ? 
 Q.4.  During  a  school  excursion  each 
 student  of  junior  school  was  charged 
 ?325  and  each  student  of  senior  school 
 was  charged  ?400.  If  there  were  80 
 students  from  junior  school  and  the 
 combined  average  amount  charged  per 
 student  was  ?352,  then  how  many 
 students  from  senior  school  went  for  the 
 excursion? 
 SSC CGL 24/07/2023 (1st shift) 
 (a) 55  (b) 45  (c) 50  (d) 40 
 Q.5.  In  ?150,  B  buys  10  pens  for  ?8  each, 
 10  erasers  for  ?5  each  and  some 
 sharpeners  for  ?4  each.  What  is  the 
 average price per item in  ?? 
 SSC CGL 19/07/2023 (3rd shift) 
 (a) 8  (b) 7  (c) 10  (d) 6 
 Q.6.  20  students  of  a  college  went  to  a 
 hotel.  19  of  them  spent  ?175  each  on 
 their  meal  and  the  20 
 th 
 student  spent  ?19 
 more  than  the  average  of  all  the  20. 
 Find the total money spent by them. 
 SSC CGL 17/07/2023 (4th shift) 
 (a) ?3,490  (b) ?3,540 
 (c) ?3,520  (d) ?3,500 
 Q.7.  The  average  score  in  a  test  for  50 
 students  is  44.  Out  of  the  total  students, 
 40%  of  the  students  are  girls  and  the  rest 
 are boys. The average score of boys is 
 20% less than that of girls. What is the 
 average score of girls? 
 Higher Secondary 27/06/2023 (Shift - 3) 
 (a) 50  (b) 54  (c) 48  (d) 52 
 Q.8.  A  is  the  average  of  10  given 
 numbers.  B  is  the  average  after  2  of  the 
 numbers  were  replaced  by  3  other 
 different  numbers.  The  average  of  the 
 removed  numbers  is  48  and  the  average 
 of  the  newly  included  numbers  is  56.  If  A 
 + B = 438, then the value of A - B is: 
 Matriculation Level 27/06/2023 (Shift - 2) 
 (a) 21  (b) 14  (c) 12  (d) 26 
 Q.9.  Average  of  8  numbers  is  44.  The 
 average  of  ?rst  three  numbers  is  50  and 
 the  average  of  next  two  numbers  is  52.  If 
 the  sixth  number  is  6  and  8  less  than 
 seventh  and  eighth  number  respectively, 
 then what is the value of eighth number? 
 SSC MTS 16/05/2023 (Morning) 
 (a) 36  (b) 32  (c) 40  (d) 56 
 Q.10.  Eleven  friends  spent  Rs.  18  each 
 on  a  tour  and  the  twelfth  friend  spent  Rs. 
 11  less  than  the  average  expenditure  of 
 all  twelve  of  them.  What  is  the  total 
 money spent by twelve friends 
 SSC MTS 02/05/2023 (Afternoon) 
 (a) Rs.204  (b) Rs.215 
 (c) Rs.212  (d) Rs.208 
 Q.11.  Sonali  applied  for  a  job  of  Science 
 teacher  in  a  school.  In  the  test  for  job, 
 she  scored  8  in  physics,  8  in  chemistry,  6 
 in  biology,  and  6.5  in  the  interview.  For 
 calculating  the  ?nal  score,  weightage  of 
 2,  3,  3,  and  4  were  assigned  to  Physics, 
 Chemistry,  Biology  and  interview, 
 respectively.  What  is  the  weighted 
 average score of Sonali ? 
 SSC CGL 06/12/2022 (1st Shift) 
 (a) 7    (b) 8.4      (c) 7.2    (d) 21 
 Q.12.  The  batting  average  for  27  innings 
 of  a  cricket  player  is  47  runs.  His  highest 
 score  in  an  innings  exceeds  his  lowest 
 score  by  157  runs.  If  these  two  innings 
 are  excluded,  the  average  score  of  the 
 remaining  25  innings  is  42  runs.  Find  his 
 highest score in an innings. 
 SSC CGL 01/12/2022 (1st Shift) 
 (a) 176  (b) 188  (c) 186  (d) 174 
 Q.13.  In  an  o?ce,  80%  workers  are  men 
 while  20%  are  women.  The  average  age 
 of  the  men  is  30  and  the  average  age  of 
 the  women  is  40.  What  is  the  average 
 age of all the workers in that o?ce? 
 Graduate Level 04/08/2022 (Shift - 2) 
 (a) 50  (b) 32  (c) 30  (d) 35 
 Q.14.  The  average  age  of  a  husband  and 
 his  wife  3  years  ago  was  39  years.  The 
 average  age  of  the  husband,  wife  and 
 their  child  2  years  hence  will  be  34  years. 
 Find the present age of the child. 
 SSC MTS 11/07/2022 (Afternoon) 
 (a) 12 years  (b) 16 years 
 (c) 15 years  (d) 18 years 
 Q.15.  In  a  family  of  six  males  and  a  few 
 females,  the  average  monthly 
 consumption  of  grain  head  is  14.4  kg.  If 
 the  average  monthly  consumption  per 
 head  is  20  kg  in  the  case  of  males  and  6 
 kg  in  the  case  of  females.  Find  the 
 number of females in the family? 
 SSC MTS 11/07/2022 (Morning) 
 (a) 8  (b) 4  (c) 6  (d) 7 
 Q.16.  A  is  the  average  marks  of  a  group 
 of  10  students  in  a  class  and  A+8  is  the 
 average  of  a  group  of  15  students  which 
 includes  the  group  of  10  students  as 
 given.  The  total  marks  obtained  by  the 
 group  of  10  students  is  X  and  the  total 
 marks  obtained  by  the  group  of  15 
 students  is  Y.  If  X  :  Y  =  3  :  5,  then  the 
 value of A + X + Y is _________. 
 SSC CHSL 30/05/2022 (Afternoon) 
 (a) 1964  (b) 1845  (c) 2012  (d) 1992 
 Q.17.  A  retailer  opens  her  outlet  on  all 
 seven  days  of  the  week.  It  is  observed 
 that  her  average  sales  for  Saturdays  and 
 Sundays  combined  is  300,  and  200     ?  ? 
 for  the  remaining  ?ve  days  combined. 
 For  a  month  starting  on  saturday,  it  was 
 found  that  the  total  sales  were  7,000.  ? 
 Which  among  the  following  months  it 
 could be 
 SSC MTS 05/10/2021 (Morning) 
 (a) March  (b) April  (c) Jan  (d) Feb 
 Q.18.  Consider  ten  consecutive  odd 
 numbers  starting  from  5.  Multiply  each 
 of  them,  except  the  ?rst  and  the  second, 
 with  three.  What  will  be  the  average  of 
 the ten numbers so formed? 
 SSC MTS 5/10/2021 (Morning) 
 (a) 39.6   (b) 39    (c) 42    (d) 38.4 
 Q.19.  What  is  the  average  of  numbers 
 from  1  to  50  which  are  multiples  of  2  or 
 5? (correct to one decimal place) 
 SSC CGL 24/8/2021 (Evening) 
 (a) 25.4  (b) 25.9    (c) 26.4       (d) 25.8 
 Q.20.  The  average  weight  of  students  of 
 section  A  and  B  having  40  students  each 
 is  45.5  kg  and  44.2  kg  respectively.  Two 
 students  of  section  A  having  average 
 weight  48.75  kg  were  shifted  to  B  and  2 
 students  of  section  B  were  shifted  to 
 section  A,  making  the  average  weight  of 
 both  the  sections  equal.  What  is  the 
 average  weight  (in  kg)  of  the  students 
 who  were  shifted  from  section  B  to 
 section A? 
 SSC CGL 23/8/2021 (Afternoon) 
 (a) 34.5      (b) 35  (c) 35.75   (d) 34.25 
 Q.21.  In  an  examination,  the  average 
 score  of  a  student  was  67.6.  If  he  would 
 have  got  27  more  marks  in  Mathematics, 
 10  more  marks  in  Computer  Science,  18 
 more  marks  in  History  and  retained  the 
 same  marks  in  other  subjects,  then  his 
 average  score  would  have  been  72.6. 
 How  many  papers  were  there  in  the 
 examination? 
 SSC CGL 23/8/2021 (Morning) 
 (a) 11     (b) 10     (c) 12  (d) 9 
 Q.22.  The  average  monthly  salary  of  60 
 employees  of  a  factory  is  Rs.29900.  If 
 two  o?cers  are  getting  Rs.90,000  each 
 and  the  average  salary  of  8  supervisors 
 is  Rs.65,000,  then  what  is  the  average 
 salary  (in  Rs.)  of  the  remaining 
 employees? 
 SSC CGL 20/8/2021 (Afternoon) 
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Page 3


 Pinnacle  Day: 84th - 86th  Average 
 Average 
 Key Points: 
 1)  An  average  or  arithmetic  mean  of 
 given  data  is  the  sum  of  the  given 
 observations  divided  by  the  number  of 
 observations. 
 For  example  :  If  we  have  to  ?nd  out  the 
 average  of  10,  15,  25  and  30,  then 
 required average will be equal to: 
 =  20 
 10    +    15    +    25    +    30 
 4 
=
 80 
 4 
 Therefore,  we  can  say,  Average  (A)  = 
 ??????     ????     ??h??     ??????????     ????????????????????????    ( ?? )
 ????????????     ????     ????????????????????????    ( ?? )
 2)  If  all  the  numbers  increase  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 increase by ‘a’. 
 3)  If  all  the  numbers  decrease  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 decrease by ‘a’. 
 4)  If  all  the  numbers  are  multiplied  by  ‘a’ 
 then  their  average  must  also  be 
 multiplied by ‘a’. 
 5)  If  all  the  numbers  are  divided  by  ‘a’ 
 then  their  average  must  also  be  divided 
 by ‘a’. 
 6)  Average of ?rst n natural numbers 
 = 
 ??       +    1 
 2 
( )
 7)  Average of ?rst n even numbers 
 = ( ?? + 1 )
 8)  Average of ?rst n odd numbers =  ?? 
 9)  Average of consecutive numbers 
 = 
 ??????????     ????????????    +    ????????     ???????????? 
 2 
 10)  Average of 1 to n odd numbers 
 = 
 ????????     ??????     ????????????       +    1 
 2 
 11)  Average of 1 to n even numbers 
 = 
 ????????     ????????     ????????????    +    2 
 2 
 12)  Average  of  squares  of  ?rst  n  natural 
 numbers = 
( ??    +    1 )( 2  ??    +    1 )
 6 
 13)  Average  of  cubes  of  ?rst  n  natural 
 numbers = 
 ?? ( ??    +    1 )
 2 
 4 
 14)  Average  of  n  multiples  of  any  number 
 = 
 ????????????        ×    ( ??    +    1 )
 2 
 15)  Combined  mean  or  combined 
 average : 
 If  the  mean  of  and  observations  are  ?? 
 1 
 ?? 
 2 
 and  respectively then,  ?? 
 1 
 ?? 
 2 
 Combined mean = 
 ?? 
 1 
 ?? 
 1 
      +    ?? 
 2 
 ?? 
 2 
   
    ?? 
 1 
   +    ?? 
 2 
 Ex  :  If  the  average  marks  of  30  boys  is  50 
 and  40  girls  is  60,  then  ?nd  the  combined 
 average marks of the whole class. 
 Soln :  Combined average marks of whole 
 class  =  = 
 30    ×    50    +    40    ×    60 
 30    +    40 
 =  = 55.71 marks 
 1500    +    2400 
 70 
 3900 
 70 
 16)  Basically  the  term  Run  Rate  means 
 how  many  runs  have  been  scored  in  one 
 over  of  a  cricket  match.  Higher  run  rate  is 
 good for batsmen. 
 Run rate = 
 ??????????     ????????     ???????????? 
    ????????????     ????     ??????????     ???????????? 
 Ex  :  If  the  batsman  has  scored  225  runs 
 in 9 overs, ?nd his run rate. 
 Soln : Run rate =  = 25 runs/over 
 225 
 9 
 17)  Bowling Average 
 = 
 ??????????     ????????     ?????????????? 
 ??????????     ????????????     ????     ??????????????     ?????????? 
 Lower  Bowling  average  is  good  for 
 bowlers. 
 Ex  :  If  the  bowler  has  taken  3  wickets 
 allowing  120  runs,  ?nd  his  bowling 
 average. 
 Bowling  Average  =  =  40 
 120 
 3 
 runs/wicket 
 18)  If  the  average  is  x  and  a  number 
 having  value  greater  than  x  is  added  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value  less 
 than  x  is  added  then  the  new  average  will 
 be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 6. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  6  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 greater than the old average. 
 So,  new  average  =  =  =  3.5 
 15    +    6 
 5    +    1 
 21 
 6 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  less  than 
 the old average. 
 So,  new  average  =  =  =  2.83 
 15    +    2 
 5    +    1 
 17 
 6 
 which is less than 3. 
 19)  If  the  average  is  x  and  a  number 
 having  value  less  than  x  is  removed  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value 
 greater than x is removed then the new 
 average will be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  greater 
 than the old average. 
 So,  new  average  =  =  =  3.25 
 15    -    2 
 5    -    1 
 13 
 4 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 4. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  4  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 less than the old average. 
 So,  new  average  =  =  =  2.75 
 15    -    4 
 5    -    1 
 11 
 4 
 which is less than 3. 
 Variety Questions 
 Q.1.  Rajender  is  working  as  a  delivery 
 boy  in  a  multinational  company.  The 
 company  is  paying  him  ?90  per  delivery. 
 In  a  fortnight  comprising  15  consecutive 
 working  days,  his  average  earnings  per 
 day  was  ?540.  If  his  average  earnings  of 
 the  ?rst  7  days  was  ?519  per  day  and 
 that  of  the  last  7  days  was  ?546  per  day, 
 then  at  was  his  earning  on  the  8th  day  of 
 the fortnight? 
 SSC CHSL 07/08/2023 (3rd Shift) 
 (a) ?571  (b) ?681   (c) ?661   (d) ?645 
 Q.2.  The  average  weight  of  a  group  of  12 
 children  is  66  kg.  If  2  children,  X  and  Y, 
 replace  A  and  B,  the  new  average  weight 
 becomes  65  kg.  The  weight  of  A=  weight 
 of  B  and  the  weight  of  X  =  weight  of  Y. 
 Another  child,  C,  is  included  in  the  group, 
 and  the  new  average  weight  remains  65 
 kg.  Weight  of  C=  weight  of  X.  Find  the 
 weight of A. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 69 kg  (b) 72 kg  (c)  71 kg (d) 67 kg 
 Q.3.  Sudesh  is  the  owner  of  a 
 multipurpose  shop.  For  a  speci?c  month, 
 his pro?ts are detailed below. 
 Category  Pro?t earned in  ? 
 Groceries                   50,000 
 Cosmetics  20,000 
 Ladies' dresses  10,000 
 In order to estimate the expected pro?t 
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 Pinnacle  Day: 84th - 86th  Average 
 for  the  next  month,  he  assigns  the 
 weights  of  6,  5  and  8  to  the  different 
 categories  in  the  same  order.  What  will 
 be the weighted average of his pro?ts? 
 SSC CHSL 03/08/2023 (2nd Shift) 
 (a)  25,265.18 (nearly)  ? 
 (b)  24,863.16 (nearly)  ? 
 (c)  25,163.16 (nearly)  ? 
 (d)  25,263.16 (nearly)  ? 
 Q.4.  During  a  school  excursion  each 
 student  of  junior  school  was  charged 
 ?325  and  each  student  of  senior  school 
 was  charged  ?400.  If  there  were  80 
 students  from  junior  school  and  the 
 combined  average  amount  charged  per 
 student  was  ?352,  then  how  many 
 students  from  senior  school  went  for  the 
 excursion? 
 SSC CGL 24/07/2023 (1st shift) 
 (a) 55  (b) 45  (c) 50  (d) 40 
 Q.5.  In  ?150,  B  buys  10  pens  for  ?8  each, 
 10  erasers  for  ?5  each  and  some 
 sharpeners  for  ?4  each.  What  is  the 
 average price per item in  ?? 
 SSC CGL 19/07/2023 (3rd shift) 
 (a) 8  (b) 7  (c) 10  (d) 6 
 Q.6.  20  students  of  a  college  went  to  a 
 hotel.  19  of  them  spent  ?175  each  on 
 their  meal  and  the  20 
 th 
 student  spent  ?19 
 more  than  the  average  of  all  the  20. 
 Find the total money spent by them. 
 SSC CGL 17/07/2023 (4th shift) 
 (a) ?3,490  (b) ?3,540 
 (c) ?3,520  (d) ?3,500 
 Q.7.  The  average  score  in  a  test  for  50 
 students  is  44.  Out  of  the  total  students, 
 40%  of  the  students  are  girls  and  the  rest 
 are boys. The average score of boys is 
 20% less than that of girls. What is the 
 average score of girls? 
 Higher Secondary 27/06/2023 (Shift - 3) 
 (a) 50  (b) 54  (c) 48  (d) 52 
 Q.8.  A  is  the  average  of  10  given 
 numbers.  B  is  the  average  after  2  of  the 
 numbers  were  replaced  by  3  other 
 different  numbers.  The  average  of  the 
 removed  numbers  is  48  and  the  average 
 of  the  newly  included  numbers  is  56.  If  A 
 + B = 438, then the value of A - B is: 
 Matriculation Level 27/06/2023 (Shift - 2) 
 (a) 21  (b) 14  (c) 12  (d) 26 
 Q.9.  Average  of  8  numbers  is  44.  The 
 average  of  ?rst  three  numbers  is  50  and 
 the  average  of  next  two  numbers  is  52.  If 
 the  sixth  number  is  6  and  8  less  than 
 seventh  and  eighth  number  respectively, 
 then what is the value of eighth number? 
 SSC MTS 16/05/2023 (Morning) 
 (a) 36  (b) 32  (c) 40  (d) 56 
 Q.10.  Eleven  friends  spent  Rs.  18  each 
 on  a  tour  and  the  twelfth  friend  spent  Rs. 
 11  less  than  the  average  expenditure  of 
 all  twelve  of  them.  What  is  the  total 
 money spent by twelve friends 
 SSC MTS 02/05/2023 (Afternoon) 
 (a) Rs.204  (b) Rs.215 
 (c) Rs.212  (d) Rs.208 
 Q.11.  Sonali  applied  for  a  job  of  Science 
 teacher  in  a  school.  In  the  test  for  job, 
 she  scored  8  in  physics,  8  in  chemistry,  6 
 in  biology,  and  6.5  in  the  interview.  For 
 calculating  the  ?nal  score,  weightage  of 
 2,  3,  3,  and  4  were  assigned  to  Physics, 
 Chemistry,  Biology  and  interview, 
 respectively.  What  is  the  weighted 
 average score of Sonali ? 
 SSC CGL 06/12/2022 (1st Shift) 
 (a) 7    (b) 8.4      (c) 7.2    (d) 21 
 Q.12.  The  batting  average  for  27  innings 
 of  a  cricket  player  is  47  runs.  His  highest 
 score  in  an  innings  exceeds  his  lowest 
 score  by  157  runs.  If  these  two  innings 
 are  excluded,  the  average  score  of  the 
 remaining  25  innings  is  42  runs.  Find  his 
 highest score in an innings. 
 SSC CGL 01/12/2022 (1st Shift) 
 (a) 176  (b) 188  (c) 186  (d) 174 
 Q.13.  In  an  o?ce,  80%  workers  are  men 
 while  20%  are  women.  The  average  age 
 of  the  men  is  30  and  the  average  age  of 
 the  women  is  40.  What  is  the  average 
 age of all the workers in that o?ce? 
 Graduate Level 04/08/2022 (Shift - 2) 
 (a) 50  (b) 32  (c) 30  (d) 35 
 Q.14.  The  average  age  of  a  husband  and 
 his  wife  3  years  ago  was  39  years.  The 
 average  age  of  the  husband,  wife  and 
 their  child  2  years  hence  will  be  34  years. 
 Find the present age of the child. 
 SSC MTS 11/07/2022 (Afternoon) 
 (a) 12 years  (b) 16 years 
 (c) 15 years  (d) 18 years 
 Q.15.  In  a  family  of  six  males  and  a  few 
 females,  the  average  monthly 
 consumption  of  grain  head  is  14.4  kg.  If 
 the  average  monthly  consumption  per 
 head  is  20  kg  in  the  case  of  males  and  6 
 kg  in  the  case  of  females.  Find  the 
 number of females in the family? 
 SSC MTS 11/07/2022 (Morning) 
 (a) 8  (b) 4  (c) 6  (d) 7 
 Q.16.  A  is  the  average  marks  of  a  group 
 of  10  students  in  a  class  and  A+8  is  the 
 average  of  a  group  of  15  students  which 
 includes  the  group  of  10  students  as 
 given.  The  total  marks  obtained  by  the 
 group  of  10  students  is  X  and  the  total 
 marks  obtained  by  the  group  of  15 
 students  is  Y.  If  X  :  Y  =  3  :  5,  then  the 
 value of A + X + Y is _________. 
 SSC CHSL 30/05/2022 (Afternoon) 
 (a) 1964  (b) 1845  (c) 2012  (d) 1992 
 Q.17.  A  retailer  opens  her  outlet  on  all 
 seven  days  of  the  week.  It  is  observed 
 that  her  average  sales  for  Saturdays  and 
 Sundays  combined  is  300,  and  200     ?  ? 
 for  the  remaining  ?ve  days  combined. 
 For  a  month  starting  on  saturday,  it  was 
 found  that  the  total  sales  were  7,000.  ? 
 Which  among  the  following  months  it 
 could be 
 SSC MTS 05/10/2021 (Morning) 
 (a) March  (b) April  (c) Jan  (d) Feb 
 Q.18.  Consider  ten  consecutive  odd 
 numbers  starting  from  5.  Multiply  each 
 of  them,  except  the  ?rst  and  the  second, 
 with  three.  What  will  be  the  average  of 
 the ten numbers so formed? 
 SSC MTS 5/10/2021 (Morning) 
 (a) 39.6   (b) 39    (c) 42    (d) 38.4 
 Q.19.  What  is  the  average  of  numbers 
 from  1  to  50  which  are  multiples  of  2  or 
 5? (correct to one decimal place) 
 SSC CGL 24/8/2021 (Evening) 
 (a) 25.4  (b) 25.9    (c) 26.4       (d) 25.8 
 Q.20.  The  average  weight  of  students  of 
 section  A  and  B  having  40  students  each 
 is  45.5  kg  and  44.2  kg  respectively.  Two 
 students  of  section  A  having  average 
 weight  48.75  kg  were  shifted  to  B  and  2 
 students  of  section  B  were  shifted  to 
 section  A,  making  the  average  weight  of 
 both  the  sections  equal.  What  is  the 
 average  weight  (in  kg)  of  the  students 
 who  were  shifted  from  section  B  to 
 section A? 
 SSC CGL 23/8/2021 (Afternoon) 
 (a) 34.5      (b) 35  (c) 35.75   (d) 34.25 
 Q.21.  In  an  examination,  the  average 
 score  of  a  student  was  67.6.  If  he  would 
 have  got  27  more  marks  in  Mathematics, 
 10  more  marks  in  Computer  Science,  18 
 more  marks  in  History  and  retained  the 
 same  marks  in  other  subjects,  then  his 
 average  score  would  have  been  72.6. 
 How  many  papers  were  there  in  the 
 examination? 
 SSC CGL 23/8/2021 (Morning) 
 (a) 11     (b) 10     (c) 12  (d) 9 
 Q.22.  The  average  monthly  salary  of  60 
 employees  of  a  factory  is  Rs.29900.  If 
 two  o?cers  are  getting  Rs.90,000  each 
 and  the  average  salary  of  8  supervisors 
 is  Rs.65,000,  then  what  is  the  average 
 salary  (in  Rs.)  of  the  remaining 
 employees? 
 SSC CGL 20/8/2021 (Afternoon) 
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 Pinnacle  Day: 84th - 86th  Average 
 (a) 21080  (b) 22680 (c) 29080 (d) 21880 
 Q.23.  What  is  the  ratio  of  the  average  of 
 ?rst  eight  prime  numbers  to  the  average 
 of ?rst ten even natural numbers? 
 SSC CGL 16/8/2021 (Afternoon) 
 (a) 1 : 7  (b) 7 : 80   (c) 8 : 70     (d) 7 : 8 
 Q.24.  x,  y  and  z  are  three  positive 
 numbers  such  that  y  is  times  of  x  and 
 4 
 5 
 z  is  times  of  y.  If  the  average  of 
 5 
 8 
 reciprocals  of  the  numbers  x,  y  and  z  is 
 ,  then  the  average  of  3  times  of  x 
 17 
 240 
 and 5 times of y will be: 
 SSC CHSL 10/8/2021 (Afternoon) 
 (a) 70        (b) 60  (c) 40        (d) 45 
 Q.25.  The  numbers  2,  3,  4  and  5  occur  (2 
 +  5k),  (5k  -  7),  (2k  -  3)  and  (k  +  2)  times, 
 respectively.  The  average  of  the  number 
 is  2.85.  Later  on,  the  number  2  was 
 replaced  by  6  in  all  the  places.  What  is 
 the average of the new numbers? 
 SSC CHSL 5/8/2021 (Evening) 
 (a) 2.4  (b) 5.25  (c) 3.85   (d) 4.75 
 Q.26.  If  the  average  of  the  3-digit 
 numbers  335,  2x5,  x35,  63x  and  406  is 
 411,  then  what  will  be  the  average  of  (x  - 
 1), (x - 3), (x + 3) and (x + 5) ? 
 SSC CHSL 16/4/2021 (Afternoon) 
 (a) 6  (b) 3  (c) 5         (d) 4 
 Q.27.  The  average  of  the  numbers  a,  b,  c 
 and  d  is  2d  +  4,  Also,  the  averages  of  the 
 numbers  a  and  b,  b  and  c,  c  and  d  are  8,  5 
 and  4,  respectively.  If  e  =  a  +  d  +  1,  then 
 what  is  the  average  of  the  numbers  d  and 
 e ? 
 SSC CHSL 13/4/2021 (Evening) 
 (a)  8  (b) 8.5       (c) 3         (d) 7 
 Q.28.  The  average  of  four  consecutive 
 odd  natural  numbers  is  eight  less  than 
 the  average  of  three  consecutive  even 
 natural  numbers.  If  the  sum  of  these 
 even  numbers  is  equal  to  the  sum  of 
 above  four  odd  numbers,  then  the 
 average of four original odd numbers is: 
 SSC CHSL 20/10/2020 (Afternoon) 
 (a) 36  (b) 24        (c) 18        (d) 32 
 Q.29.  The  average  of  nine  2  digit 
 numbers  is  decreased  by  6  when  the 
 digits  of  one  of  the  2  digit  numbers  is 
 interchanged.  Find  the  difference 
 between the digits of that number. 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 6  (b) 4  (c) 2       (d) 8 
 Q.30.  The  numbers  24,  45,  a,  35,  59,  83, 
 46,  b,  29,  74  are  serially  numbered  as 
 they  appear  in  the  sequence.  When  each 
 number  is  added  to  its  serial  number, 
 then  the  average  of  the  new  numbers 
 formed  is  55.  The  average  of  the  missing 
 numbers (a and b) is: 
 SSC CHSL 13/10/2020 (Afternoon) 
 (a) 38           (b) 58          (c) 62     (d) 50 
 Q.31.  The  average  of  35  consecutive 
 natural  numbers  is  N.  Dropping  the  ?rst 
 10  numbers  and  including  the  next  10 
 numbers,  the  average  is  changed  to  M.  If 
 the  value  of  M  -  N  =  600,  then  the 
 2  2 
 average of 3M and 5N is: 
 SSC CHSL 13/10/2020 (Morning) 
 (a) 90     (b) 120     (c) 100     (d) 115 
 Q.32.  A  batsman  in  his  11th  innings 
 makes  a  score  of  77  runs,  thereby 
 increasing  his  average  scores  by  3.  What 
 is  his  average  score  after  the  11th 
 innings? 
 SSC  CHSL 17/03/2020 (Morning ) 
 (a) 46         (b) 49       (c) 47         (d) 48 
 Q.33.  The  average  age  of  husband,  wife 
 and  child  7  years  ago  was  42  years  and 
 that  of  wife  and  child  9  years  ago  was  36 
 years. The present age of the husband is: 
 SSC CPO 12/12/2019(Evening) 
 (a) 50         (b) 55     (c) 48            (d) 57 
 Q.34.  A  batsman  scores  92  runs  in  the 
 15th  innings  and  thus  increases  his 
 average  by  4.  What  is  his  average  after 
 the 15th innings? 
 SSC CPO 12/12/2019(Evening) 
 (a) 40         (b) 32        (c) 35         (d) 36 
 Q.35.  The  average  age  of  120  students  in 
 a  group  is  13.56  years,  35%  of  the 
 number  of  students  are  girls  and  the  rest 
 are  boys.  If  the  ratio  of  the  average  age 
 of  boys  and  girls  is  6:5,  then  what  is  the 
 average age (in years) of the girls? 
 SSC CGL Tier II (13/09/2019) 
 (a) 12      (b) 11.6  (c) 10        (d) 14.4 
 Q.36.  The  average  of  18  numbers  is  37.5. 
 If  six  numbers  of  average  x  are  added  to 
 them,  then  the  average  of  all  the 
 numbers  increases  by  one.  The  value  of  x 
 is : : 
 SSC CGL Tier II (13/09/2019) 
 (a) 40  (b) 41.5  (c) 42  (d) 38.5 
 Q.37.  The  average  weight  of  a  certain 
 number  of  students  in  a  group  is  72  kg.  If 
 10  students  having  an  average  weight  of 
 78  kg  leave  and  4  students  having  an 
 average  weight  of  80  kg  join  the  group, 
 the  average  weight  of  the  students  in  the 
 group  decreases  by  0.7  kg.  The  number 
 of students initially in the group is : 
 SSC CGL Tier II (12/09/2019) 
 (a) 56  (b) 46  (c) 44  (d) 54 
 Q.38.  The  average  of  33  numbers  is  74. 
 The  average  of  the  ?rst  17  numbers  is 
 72.8  and  that  of  the  last  17  numbers  is 
 77.2.  If  the  17th  number  is  excluded,  then 
 what  will  be  the  average  of  the  remaining 
 numbers (correct to one decimal place)? 
 SSC CGL Tier II (12/09/2019) 
 (a) 72.9  (b) 73.4    (c) 71.6     (d) 70.8 
 Q.39.  The  number  of  students  in  a  class 
 is  75,  out  of  which  33  %  are  boys  and 
 1 
 3 
 the  rest  are  girls.  The  average  score  in 
 mathematics  of  the  boys  is  66  %  more 
 2 
 3 
 than  that  of  the  girls.  If  the  average  score 
 of  all  the  students  is  66,  then  the  average 
 score of the girls is: 
 SSC CGL Tier II (11/09/2019) 
 (a) 52  (b) 55  (c) 54  (d) 58 
 Q.40.  The  owner  of  a  bike  buys  petrol  at 
 the  rate  of  Rs.  64,  Rs.  80  and  Rs.  320  per 
 litre  for  three  consecutive  years.  If  he 
 spends  Rs.  32000  on  petrol  every  year, 
 then  what  is  the  average  price  (Rs.)  of 
 petrol per litre ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 120  (b) 84     (c) 108       (d) 96 
 Q.41.  An  art  exhibition  was  held  in  the 
 month  of  november.  The  numbers  of 
 visitors  on  weekdays  and  on  weekends 
 were  450  and  750  respectively.  If  the  ?rst 
 day of the month was Monday, then what 
 was the average number of visitors in the 
 month ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 520     (b) 530    (c) 510     (d) 540 
 Q.42.  A  person  was  asked  to  guess  his 
 own  weight.  He  estimated  his  weight  to 
 be  over  70  kg  but  less  than  80  kg.  His 
 friend  estimated  his  weight  to  be  more 
 than  74  kg  but  less  than  84  kg.  His 
 mother  said  that  his  weight  is  less  than 
 78  kg.  Assuming  that  the  weights  are  a 
 whole  number  and  that  the  three  had 
 correctly  guessed,  then  what  is  the 
 average of the possible weights(in Kg)? 
 SSC MTS 14/08/2019 (Morning) 
 (a) 76.5  (b) 76  (c) 77  (d) 75 
 Q.43.  A  party  was  held  for  50  people  on 
 their  own  expenses.  Out  of  them,  48 
 people  paid  Rs.  950  each  and  the  other 
 two  persons  paid  Rs.  1200  more  than  the 
 average  expenses  of  the  group.  The  total 
 amount spent was : 
 SSC MTS 14/08/2019 (Morning) 
 (a) Rs 75,000  (b) Rs 40,000 
 (c) Rs 25,000  (d) Rs 50,000 
 Q.44.  Out  of  four  numbers  the  average  of 
 the  ?rst  three  is  16  and  that  of  the  last 
 three is 15. If the last number is 21 then 
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Page 4


 Pinnacle  Day: 84th - 86th  Average 
 Average 
 Key Points: 
 1)  An  average  or  arithmetic  mean  of 
 given  data  is  the  sum  of  the  given 
 observations  divided  by  the  number  of 
 observations. 
 For  example  :  If  we  have  to  ?nd  out  the 
 average  of  10,  15,  25  and  30,  then 
 required average will be equal to: 
 =  20 
 10    +    15    +    25    +    30 
 4 
=
 80 
 4 
 Therefore,  we  can  say,  Average  (A)  = 
 ??????     ????     ??h??     ??????????     ????????????????????????    ( ?? )
 ????????????     ????     ????????????????????????    ( ?? )
 2)  If  all  the  numbers  increase  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 increase by ‘a’. 
 3)  If  all  the  numbers  decrease  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 decrease by ‘a’. 
 4)  If  all  the  numbers  are  multiplied  by  ‘a’ 
 then  their  average  must  also  be 
 multiplied by ‘a’. 
 5)  If  all  the  numbers  are  divided  by  ‘a’ 
 then  their  average  must  also  be  divided 
 by ‘a’. 
 6)  Average of ?rst n natural numbers 
 = 
 ??       +    1 
 2 
( )
 7)  Average of ?rst n even numbers 
 = ( ?? + 1 )
 8)  Average of ?rst n odd numbers =  ?? 
 9)  Average of consecutive numbers 
 = 
 ??????????     ????????????    +    ????????     ???????????? 
 2 
 10)  Average of 1 to n odd numbers 
 = 
 ????????     ??????     ????????????       +    1 
 2 
 11)  Average of 1 to n even numbers 
 = 
 ????????     ????????     ????????????    +    2 
 2 
 12)  Average  of  squares  of  ?rst  n  natural 
 numbers = 
( ??    +    1 )( 2  ??    +    1 )
 6 
 13)  Average  of  cubes  of  ?rst  n  natural 
 numbers = 
 ?? ( ??    +    1 )
 2 
 4 
 14)  Average  of  n  multiples  of  any  number 
 = 
 ????????????        ×    ( ??    +    1 )
 2 
 15)  Combined  mean  or  combined 
 average : 
 If  the  mean  of  and  observations  are  ?? 
 1 
 ?? 
 2 
 and  respectively then,  ?? 
 1 
 ?? 
 2 
 Combined mean = 
 ?? 
 1 
 ?? 
 1 
      +    ?? 
 2 
 ?? 
 2 
   
    ?? 
 1 
   +    ?? 
 2 
 Ex  :  If  the  average  marks  of  30  boys  is  50 
 and  40  girls  is  60,  then  ?nd  the  combined 
 average marks of the whole class. 
 Soln :  Combined average marks of whole 
 class  =  = 
 30    ×    50    +    40    ×    60 
 30    +    40 
 =  = 55.71 marks 
 1500    +    2400 
 70 
 3900 
 70 
 16)  Basically  the  term  Run  Rate  means 
 how  many  runs  have  been  scored  in  one 
 over  of  a  cricket  match.  Higher  run  rate  is 
 good for batsmen. 
 Run rate = 
 ??????????     ????????     ???????????? 
    ????????????     ????     ??????????     ???????????? 
 Ex  :  If  the  batsman  has  scored  225  runs 
 in 9 overs, ?nd his run rate. 
 Soln : Run rate =  = 25 runs/over 
 225 
 9 
 17)  Bowling Average 
 = 
 ??????????     ????????     ?????????????? 
 ??????????     ????????????     ????     ??????????????     ?????????? 
 Lower  Bowling  average  is  good  for 
 bowlers. 
 Ex  :  If  the  bowler  has  taken  3  wickets 
 allowing  120  runs,  ?nd  his  bowling 
 average. 
 Bowling  Average  =  =  40 
 120 
 3 
 runs/wicket 
 18)  If  the  average  is  x  and  a  number 
 having  value  greater  than  x  is  added  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value  less 
 than  x  is  added  then  the  new  average  will 
 be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 6. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  6  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 greater than the old average. 
 So,  new  average  =  =  =  3.5 
 15    +    6 
 5    +    1 
 21 
 6 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  less  than 
 the old average. 
 So,  new  average  =  =  =  2.83 
 15    +    2 
 5    +    1 
 17 
 6 
 which is less than 3. 
 19)  If  the  average  is  x  and  a  number 
 having  value  less  than  x  is  removed  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value 
 greater than x is removed then the new 
 average will be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  greater 
 than the old average. 
 So,  new  average  =  =  =  3.25 
 15    -    2 
 5    -    1 
 13 
 4 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 4. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  4  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 less than the old average. 
 So,  new  average  =  =  =  2.75 
 15    -    4 
 5    -    1 
 11 
 4 
 which is less than 3. 
 Variety Questions 
 Q.1.  Rajender  is  working  as  a  delivery 
 boy  in  a  multinational  company.  The 
 company  is  paying  him  ?90  per  delivery. 
 In  a  fortnight  comprising  15  consecutive 
 working  days,  his  average  earnings  per 
 day  was  ?540.  If  his  average  earnings  of 
 the  ?rst  7  days  was  ?519  per  day  and 
 that  of  the  last  7  days  was  ?546  per  day, 
 then  at  was  his  earning  on  the  8th  day  of 
 the fortnight? 
 SSC CHSL 07/08/2023 (3rd Shift) 
 (a) ?571  (b) ?681   (c) ?661   (d) ?645 
 Q.2.  The  average  weight  of  a  group  of  12 
 children  is  66  kg.  If  2  children,  X  and  Y, 
 replace  A  and  B,  the  new  average  weight 
 becomes  65  kg.  The  weight  of  A=  weight 
 of  B  and  the  weight  of  X  =  weight  of  Y. 
 Another  child,  C,  is  included  in  the  group, 
 and  the  new  average  weight  remains  65 
 kg.  Weight  of  C=  weight  of  X.  Find  the 
 weight of A. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 69 kg  (b) 72 kg  (c)  71 kg (d) 67 kg 
 Q.3.  Sudesh  is  the  owner  of  a 
 multipurpose  shop.  For  a  speci?c  month, 
 his pro?ts are detailed below. 
 Category  Pro?t earned in  ? 
 Groceries                   50,000 
 Cosmetics  20,000 
 Ladies' dresses  10,000 
 In order to estimate the expected pro?t 
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 Pinnacle  Day: 84th - 86th  Average 
 for  the  next  month,  he  assigns  the 
 weights  of  6,  5  and  8  to  the  different 
 categories  in  the  same  order.  What  will 
 be the weighted average of his pro?ts? 
 SSC CHSL 03/08/2023 (2nd Shift) 
 (a)  25,265.18 (nearly)  ? 
 (b)  24,863.16 (nearly)  ? 
 (c)  25,163.16 (nearly)  ? 
 (d)  25,263.16 (nearly)  ? 
 Q.4.  During  a  school  excursion  each 
 student  of  junior  school  was  charged 
 ?325  and  each  student  of  senior  school 
 was  charged  ?400.  If  there  were  80 
 students  from  junior  school  and  the 
 combined  average  amount  charged  per 
 student  was  ?352,  then  how  many 
 students  from  senior  school  went  for  the 
 excursion? 
 SSC CGL 24/07/2023 (1st shift) 
 (a) 55  (b) 45  (c) 50  (d) 40 
 Q.5.  In  ?150,  B  buys  10  pens  for  ?8  each, 
 10  erasers  for  ?5  each  and  some 
 sharpeners  for  ?4  each.  What  is  the 
 average price per item in  ?? 
 SSC CGL 19/07/2023 (3rd shift) 
 (a) 8  (b) 7  (c) 10  (d) 6 
 Q.6.  20  students  of  a  college  went  to  a 
 hotel.  19  of  them  spent  ?175  each  on 
 their  meal  and  the  20 
 th 
 student  spent  ?19 
 more  than  the  average  of  all  the  20. 
 Find the total money spent by them. 
 SSC CGL 17/07/2023 (4th shift) 
 (a) ?3,490  (b) ?3,540 
 (c) ?3,520  (d) ?3,500 
 Q.7.  The  average  score  in  a  test  for  50 
 students  is  44.  Out  of  the  total  students, 
 40%  of  the  students  are  girls  and  the  rest 
 are boys. The average score of boys is 
 20% less than that of girls. What is the 
 average score of girls? 
 Higher Secondary 27/06/2023 (Shift - 3) 
 (a) 50  (b) 54  (c) 48  (d) 52 
 Q.8.  A  is  the  average  of  10  given 
 numbers.  B  is  the  average  after  2  of  the 
 numbers  were  replaced  by  3  other 
 different  numbers.  The  average  of  the 
 removed  numbers  is  48  and  the  average 
 of  the  newly  included  numbers  is  56.  If  A 
 + B = 438, then the value of A - B is: 
 Matriculation Level 27/06/2023 (Shift - 2) 
 (a) 21  (b) 14  (c) 12  (d) 26 
 Q.9.  Average  of  8  numbers  is  44.  The 
 average  of  ?rst  three  numbers  is  50  and 
 the  average  of  next  two  numbers  is  52.  If 
 the  sixth  number  is  6  and  8  less  than 
 seventh  and  eighth  number  respectively, 
 then what is the value of eighth number? 
 SSC MTS 16/05/2023 (Morning) 
 (a) 36  (b) 32  (c) 40  (d) 56 
 Q.10.  Eleven  friends  spent  Rs.  18  each 
 on  a  tour  and  the  twelfth  friend  spent  Rs. 
 11  less  than  the  average  expenditure  of 
 all  twelve  of  them.  What  is  the  total 
 money spent by twelve friends 
 SSC MTS 02/05/2023 (Afternoon) 
 (a) Rs.204  (b) Rs.215 
 (c) Rs.212  (d) Rs.208 
 Q.11.  Sonali  applied  for  a  job  of  Science 
 teacher  in  a  school.  In  the  test  for  job, 
 she  scored  8  in  physics,  8  in  chemistry,  6 
 in  biology,  and  6.5  in  the  interview.  For 
 calculating  the  ?nal  score,  weightage  of 
 2,  3,  3,  and  4  were  assigned  to  Physics, 
 Chemistry,  Biology  and  interview, 
 respectively.  What  is  the  weighted 
 average score of Sonali ? 
 SSC CGL 06/12/2022 (1st Shift) 
 (a) 7    (b) 8.4      (c) 7.2    (d) 21 
 Q.12.  The  batting  average  for  27  innings 
 of  a  cricket  player  is  47  runs.  His  highest 
 score  in  an  innings  exceeds  his  lowest 
 score  by  157  runs.  If  these  two  innings 
 are  excluded,  the  average  score  of  the 
 remaining  25  innings  is  42  runs.  Find  his 
 highest score in an innings. 
 SSC CGL 01/12/2022 (1st Shift) 
 (a) 176  (b) 188  (c) 186  (d) 174 
 Q.13.  In  an  o?ce,  80%  workers  are  men 
 while  20%  are  women.  The  average  age 
 of  the  men  is  30  and  the  average  age  of 
 the  women  is  40.  What  is  the  average 
 age of all the workers in that o?ce? 
 Graduate Level 04/08/2022 (Shift - 2) 
 (a) 50  (b) 32  (c) 30  (d) 35 
 Q.14.  The  average  age  of  a  husband  and 
 his  wife  3  years  ago  was  39  years.  The 
 average  age  of  the  husband,  wife  and 
 their  child  2  years  hence  will  be  34  years. 
 Find the present age of the child. 
 SSC MTS 11/07/2022 (Afternoon) 
 (a) 12 years  (b) 16 years 
 (c) 15 years  (d) 18 years 
 Q.15.  In  a  family  of  six  males  and  a  few 
 females,  the  average  monthly 
 consumption  of  grain  head  is  14.4  kg.  If 
 the  average  monthly  consumption  per 
 head  is  20  kg  in  the  case  of  males  and  6 
 kg  in  the  case  of  females.  Find  the 
 number of females in the family? 
 SSC MTS 11/07/2022 (Morning) 
 (a) 8  (b) 4  (c) 6  (d) 7 
 Q.16.  A  is  the  average  marks  of  a  group 
 of  10  students  in  a  class  and  A+8  is  the 
 average  of  a  group  of  15  students  which 
 includes  the  group  of  10  students  as 
 given.  The  total  marks  obtained  by  the 
 group  of  10  students  is  X  and  the  total 
 marks  obtained  by  the  group  of  15 
 students  is  Y.  If  X  :  Y  =  3  :  5,  then  the 
 value of A + X + Y is _________. 
 SSC CHSL 30/05/2022 (Afternoon) 
 (a) 1964  (b) 1845  (c) 2012  (d) 1992 
 Q.17.  A  retailer  opens  her  outlet  on  all 
 seven  days  of  the  week.  It  is  observed 
 that  her  average  sales  for  Saturdays  and 
 Sundays  combined  is  300,  and  200     ?  ? 
 for  the  remaining  ?ve  days  combined. 
 For  a  month  starting  on  saturday,  it  was 
 found  that  the  total  sales  were  7,000.  ? 
 Which  among  the  following  months  it 
 could be 
 SSC MTS 05/10/2021 (Morning) 
 (a) March  (b) April  (c) Jan  (d) Feb 
 Q.18.  Consider  ten  consecutive  odd 
 numbers  starting  from  5.  Multiply  each 
 of  them,  except  the  ?rst  and  the  second, 
 with  three.  What  will  be  the  average  of 
 the ten numbers so formed? 
 SSC MTS 5/10/2021 (Morning) 
 (a) 39.6   (b) 39    (c) 42    (d) 38.4 
 Q.19.  What  is  the  average  of  numbers 
 from  1  to  50  which  are  multiples  of  2  or 
 5? (correct to one decimal place) 
 SSC CGL 24/8/2021 (Evening) 
 (a) 25.4  (b) 25.9    (c) 26.4       (d) 25.8 
 Q.20.  The  average  weight  of  students  of 
 section  A  and  B  having  40  students  each 
 is  45.5  kg  and  44.2  kg  respectively.  Two 
 students  of  section  A  having  average 
 weight  48.75  kg  were  shifted  to  B  and  2 
 students  of  section  B  were  shifted  to 
 section  A,  making  the  average  weight  of 
 both  the  sections  equal.  What  is  the 
 average  weight  (in  kg)  of  the  students 
 who  were  shifted  from  section  B  to 
 section A? 
 SSC CGL 23/8/2021 (Afternoon) 
 (a) 34.5      (b) 35  (c) 35.75   (d) 34.25 
 Q.21.  In  an  examination,  the  average 
 score  of  a  student  was  67.6.  If  he  would 
 have  got  27  more  marks  in  Mathematics, 
 10  more  marks  in  Computer  Science,  18 
 more  marks  in  History  and  retained  the 
 same  marks  in  other  subjects,  then  his 
 average  score  would  have  been  72.6. 
 How  many  papers  were  there  in  the 
 examination? 
 SSC CGL 23/8/2021 (Morning) 
 (a) 11     (b) 10     (c) 12  (d) 9 
 Q.22.  The  average  monthly  salary  of  60 
 employees  of  a  factory  is  Rs.29900.  If 
 two  o?cers  are  getting  Rs.90,000  each 
 and  the  average  salary  of  8  supervisors 
 is  Rs.65,000,  then  what  is  the  average 
 salary  (in  Rs.)  of  the  remaining 
 employees? 
 SSC CGL 20/8/2021 (Afternoon) 
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 Pinnacle  Day: 84th - 86th  Average 
 (a) 21080  (b) 22680 (c) 29080 (d) 21880 
 Q.23.  What  is  the  ratio  of  the  average  of 
 ?rst  eight  prime  numbers  to  the  average 
 of ?rst ten even natural numbers? 
 SSC CGL 16/8/2021 (Afternoon) 
 (a) 1 : 7  (b) 7 : 80   (c) 8 : 70     (d) 7 : 8 
 Q.24.  x,  y  and  z  are  three  positive 
 numbers  such  that  y  is  times  of  x  and 
 4 
 5 
 z  is  times  of  y.  If  the  average  of 
 5 
 8 
 reciprocals  of  the  numbers  x,  y  and  z  is 
 ,  then  the  average  of  3  times  of  x 
 17 
 240 
 and 5 times of y will be: 
 SSC CHSL 10/8/2021 (Afternoon) 
 (a) 70        (b) 60  (c) 40        (d) 45 
 Q.25.  The  numbers  2,  3,  4  and  5  occur  (2 
 +  5k),  (5k  -  7),  (2k  -  3)  and  (k  +  2)  times, 
 respectively.  The  average  of  the  number 
 is  2.85.  Later  on,  the  number  2  was 
 replaced  by  6  in  all  the  places.  What  is 
 the average of the new numbers? 
 SSC CHSL 5/8/2021 (Evening) 
 (a) 2.4  (b) 5.25  (c) 3.85   (d) 4.75 
 Q.26.  If  the  average  of  the  3-digit 
 numbers  335,  2x5,  x35,  63x  and  406  is 
 411,  then  what  will  be  the  average  of  (x  - 
 1), (x - 3), (x + 3) and (x + 5) ? 
 SSC CHSL 16/4/2021 (Afternoon) 
 (a) 6  (b) 3  (c) 5         (d) 4 
 Q.27.  The  average  of  the  numbers  a,  b,  c 
 and  d  is  2d  +  4,  Also,  the  averages  of  the 
 numbers  a  and  b,  b  and  c,  c  and  d  are  8,  5 
 and  4,  respectively.  If  e  =  a  +  d  +  1,  then 
 what  is  the  average  of  the  numbers  d  and 
 e ? 
 SSC CHSL 13/4/2021 (Evening) 
 (a)  8  (b) 8.5       (c) 3         (d) 7 
 Q.28.  The  average  of  four  consecutive 
 odd  natural  numbers  is  eight  less  than 
 the  average  of  three  consecutive  even 
 natural  numbers.  If  the  sum  of  these 
 even  numbers  is  equal  to  the  sum  of 
 above  four  odd  numbers,  then  the 
 average of four original odd numbers is: 
 SSC CHSL 20/10/2020 (Afternoon) 
 (a) 36  (b) 24        (c) 18        (d) 32 
 Q.29.  The  average  of  nine  2  digit 
 numbers  is  decreased  by  6  when  the 
 digits  of  one  of  the  2  digit  numbers  is 
 interchanged.  Find  the  difference 
 between the digits of that number. 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 6  (b) 4  (c) 2       (d) 8 
 Q.30.  The  numbers  24,  45,  a,  35,  59,  83, 
 46,  b,  29,  74  are  serially  numbered  as 
 they  appear  in  the  sequence.  When  each 
 number  is  added  to  its  serial  number, 
 then  the  average  of  the  new  numbers 
 formed  is  55.  The  average  of  the  missing 
 numbers (a and b) is: 
 SSC CHSL 13/10/2020 (Afternoon) 
 (a) 38           (b) 58          (c) 62     (d) 50 
 Q.31.  The  average  of  35  consecutive 
 natural  numbers  is  N.  Dropping  the  ?rst 
 10  numbers  and  including  the  next  10 
 numbers,  the  average  is  changed  to  M.  If 
 the  value  of  M  -  N  =  600,  then  the 
 2  2 
 average of 3M and 5N is: 
 SSC CHSL 13/10/2020 (Morning) 
 (a) 90     (b) 120     (c) 100     (d) 115 
 Q.32.  A  batsman  in  his  11th  innings 
 makes  a  score  of  77  runs,  thereby 
 increasing  his  average  scores  by  3.  What 
 is  his  average  score  after  the  11th 
 innings? 
 SSC  CHSL 17/03/2020 (Morning ) 
 (a) 46         (b) 49       (c) 47         (d) 48 
 Q.33.  The  average  age  of  husband,  wife 
 and  child  7  years  ago  was  42  years  and 
 that  of  wife  and  child  9  years  ago  was  36 
 years. The present age of the husband is: 
 SSC CPO 12/12/2019(Evening) 
 (a) 50         (b) 55     (c) 48            (d) 57 
 Q.34.  A  batsman  scores  92  runs  in  the 
 15th  innings  and  thus  increases  his 
 average  by  4.  What  is  his  average  after 
 the 15th innings? 
 SSC CPO 12/12/2019(Evening) 
 (a) 40         (b) 32        (c) 35         (d) 36 
 Q.35.  The  average  age  of  120  students  in 
 a  group  is  13.56  years,  35%  of  the 
 number  of  students  are  girls  and  the  rest 
 are  boys.  If  the  ratio  of  the  average  age 
 of  boys  and  girls  is  6:5,  then  what  is  the 
 average age (in years) of the girls? 
 SSC CGL Tier II (13/09/2019) 
 (a) 12      (b) 11.6  (c) 10        (d) 14.4 
 Q.36.  The  average  of  18  numbers  is  37.5. 
 If  six  numbers  of  average  x  are  added  to 
 them,  then  the  average  of  all  the 
 numbers  increases  by  one.  The  value  of  x 
 is : : 
 SSC CGL Tier II (13/09/2019) 
 (a) 40  (b) 41.5  (c) 42  (d) 38.5 
 Q.37.  The  average  weight  of  a  certain 
 number  of  students  in  a  group  is  72  kg.  If 
 10  students  having  an  average  weight  of 
 78  kg  leave  and  4  students  having  an 
 average  weight  of  80  kg  join  the  group, 
 the  average  weight  of  the  students  in  the 
 group  decreases  by  0.7  kg.  The  number 
 of students initially in the group is : 
 SSC CGL Tier II (12/09/2019) 
 (a) 56  (b) 46  (c) 44  (d) 54 
 Q.38.  The  average  of  33  numbers  is  74. 
 The  average  of  the  ?rst  17  numbers  is 
 72.8  and  that  of  the  last  17  numbers  is 
 77.2.  If  the  17th  number  is  excluded,  then 
 what  will  be  the  average  of  the  remaining 
 numbers (correct to one decimal place)? 
 SSC CGL Tier II (12/09/2019) 
 (a) 72.9  (b) 73.4    (c) 71.6     (d) 70.8 
 Q.39.  The  number  of  students  in  a  class 
 is  75,  out  of  which  33  %  are  boys  and 
 1 
 3 
 the  rest  are  girls.  The  average  score  in 
 mathematics  of  the  boys  is  66  %  more 
 2 
 3 
 than  that  of  the  girls.  If  the  average  score 
 of  all  the  students  is  66,  then  the  average 
 score of the girls is: 
 SSC CGL Tier II (11/09/2019) 
 (a) 52  (b) 55  (c) 54  (d) 58 
 Q.40.  The  owner  of  a  bike  buys  petrol  at 
 the  rate  of  Rs.  64,  Rs.  80  and  Rs.  320  per 
 litre  for  three  consecutive  years.  If  he 
 spends  Rs.  32000  on  petrol  every  year, 
 then  what  is  the  average  price  (Rs.)  of 
 petrol per litre ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 120  (b) 84     (c) 108       (d) 96 
 Q.41.  An  art  exhibition  was  held  in  the 
 month  of  november.  The  numbers  of 
 visitors  on  weekdays  and  on  weekends 
 were  450  and  750  respectively.  If  the  ?rst 
 day of the month was Monday, then what 
 was the average number of visitors in the 
 month ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 520     (b) 530    (c) 510     (d) 540 
 Q.42.  A  person  was  asked  to  guess  his 
 own  weight.  He  estimated  his  weight  to 
 be  over  70  kg  but  less  than  80  kg.  His 
 friend  estimated  his  weight  to  be  more 
 than  74  kg  but  less  than  84  kg.  His 
 mother  said  that  his  weight  is  less  than 
 78  kg.  Assuming  that  the  weights  are  a 
 whole  number  and  that  the  three  had 
 correctly  guessed,  then  what  is  the 
 average of the possible weights(in Kg)? 
 SSC MTS 14/08/2019 (Morning) 
 (a) 76.5  (b) 76  (c) 77  (d) 75 
 Q.43.  A  party  was  held  for  50  people  on 
 their  own  expenses.  Out  of  them,  48 
 people  paid  Rs.  950  each  and  the  other 
 two  persons  paid  Rs.  1200  more  than  the 
 average  expenses  of  the  group.  The  total 
 amount spent was : 
 SSC MTS 14/08/2019 (Morning) 
 (a) Rs 75,000  (b) Rs 40,000 
 (c) Rs 25,000  (d) Rs 50,000 
 Q.44.  Out  of  four  numbers  the  average  of 
 the  ?rst  three  is  16  and  that  of  the  last 
 three is 15. If the last number is 21 then 
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 Pinnacle  Day: 84th - 86th  Average 
 the ?rst number is: 
 SSC MTS 13/08/2019 (Evening) 
 (a) 28  (b) 22  (c) 21  (d) 24 
 Q.45.  The  average  of  all  the  prime  and 
 composite numbers upto 100 is: 
 SSC MTS  9/08/2019 (Morning) 
 (a) 51  (b) 50  (c) 50.5  (d) 49.5 
 Q.46.  What  is  the  average  of  the  ?rst  15 
 whole numbers? 
 SSC MTS  08/08/2019 (Morning) 
 (a) 8  (b) 7  (c) 9  (d) 10 
 Q.47.  What  is  the  average  of  the  ?rst  8 
 multiples  of  6  among  the  natural 
 numbers? 
 SSC MTS 07/08/2019 (Evening) 
 (a) 24  (b) 26  (c) 27  (d) 28 
 Q.48.  The  average  of  a  and  b  is  36.  The 
 average  of  b  and  c  is  42.  What  is  the 
 difference between c and a ? 
 SSC MTS  6/08/2019 (Afternoon) 
 (a) 18  (b) 12  (c) 16  (d) 14 
 Q.49.  The  average  of  1088  real  numbers 
 is  zero.  At  most  how  many  of  them  can 
 be negative? 
 SSC CHSL 11/07/2019 (Morning) 
 (a) 100  (b) 88    (c) 544  (d) 1087 
 Q.50.  The  difference  between  the  average 
 of  ?rst  ten  prime  numbers  and  the  ?rst  ten 
 prime numbers of two digits is: 
 SSC CHSL 10/07/2019 (Evening) 
 (a) 14.5  (b) 16.5  (c) 12.5    (d) 13.5 
 Q.51.  The  average  of  the  ?rst  101  ______ 
 numbers is equal to 102. 
 SSC CHSL 10/07/2019 (Afternoon) 
 (a) natural  (b) odd 
 (c) even  (d) perfect square 
 Q.52.  The  average  of  the  ?rst  1234 
 _______ numbers is equal to 1234. 
 SSC CHSL 10/07/2019 (Morning) 
 (a) odd  (b) even  (c) prime   (d) natural 
 Q.53.  The  average  of  a  number  and  its 
 reciprocal  is  4.  The  average  of  its  cube 
 and cube of its reciprocal is equal to: 
 SSC CHSL 9/07/2019 (Evening) 
 (a) 256  (b) 142  (c) 288  (d) 244 
 Q.54.  The  average  age  of  four  brothers  is 
 15  years.  If  their  father  is  included,  the 
 average  is  increased  by  5  years.  The  age 
 of the father (in years) is: 
 SSC CHSL 5/07/2019 (Afternoon) 
 (a) 35  (b) 40  (c) 38  (d) 36 
 Q.55.  10  years  ago,  the  average  age  of  a 
 family  of  ?ve  members  was  38  years. 
 Now,  two  new  members  join,  whose  age 
 difference  is  8  years.  If  the  present 
 average  age  of  the  family  is  the  same  as 
 it  was  10  years  ago,  what  is  the  age  (in 
 years) of the new younger member? 
 SSC CHSL 4/07/2019 (Afternoon) 
 (a) 15  (b) 9  (c) 10  (d) 17 
 Q.56.  The  average  of  n  number  is  36.  If 
 each  of  75%  of  the  numbers  is  increased 
 by  6  and  each  of  the  remaining  numbers 
 is  decreased  by  9,  then  the  new  average 
 of the numbers is: 
 SSC CHSL 4/07/2019 (Morning) 
 (a) 37.125 (b) 33.75 (c) 38.25 (d) 36.25 
 Q.57.  The  average  weight  of  the  students 
 in  a  group  was  75.4  kg.  Later  on,  four 
 students  having  weights,  72.9  kg,  73.8 
 kg,  79.5  kg  and  87.4  kg  joined  the  group. 
 As  a  result,  the  average  weight  of  all  the 
 students  in  the  group  increased  by  0.24 
 kg.  What  was  the  number  of  students  in 
 the group, initially ? 
 SSC CHSL 3/07/2019 (Morning) 
 (a) 46  (b) 36  (c) 50  (d) 48 
 Q.58.  In  a  class  of  80  students,  60% 
 participate  in  games  and  the  rest  do  not. 
 The  average  weight  of  the  former  group 
 is  5%  more  than  that  of  the  latter.  If  the 
 average  weight  of  all  the  students  is  51 
 kg,  then  what  is  the  average  weight  (in 
 1 
 2 
 kg) of the former group? 
 SSC CHSL 2/07/2019 (Afternoon) 
 (a) 57.6  (b) 54.5  (c) 60  (d) 52.5 
 Q.59.  The average of 27 numbers is zero. 
 Out  of  them,  how  many  may  be  greater 
 than zero, at the most? 
 SSC CGL 13/06/2019 (Evening) 
 (a) 0  (b) 15  (c) 26  (d) 20 
 Q.60.  In  a  class  of  40  students,  45%  are 
 girls  and  the  remaining  are  boys.  If  the 
 average  marks  of  the  girls  is  54  and  that 
 of  the  boys  is  46,  what  is  the  average  of 
 the whole class? 
 SSC CGL 11/06/2019 (Afternoon) 
 (a) 49.8  (b) 49.7  (c) 49.6   (d) 49.5 
 Q.61.  The  average  marks  of  40  students 
 was  found  to  be  68.  If  the  marks  of  two 
 students  were  incorrectly  entered  as  48 
 and  64  instead  of  84  and  46  respectively, 
 then what is the correct average? 
 SSC CGL 10/06/2019 (Afternoon) 
 (a) 68.25 (b) 68.15 (c) 68.45 (d) 68.35 
 Q.62.  Four  different  positive  numbers  are 
 written  in  ascending  order.  One-third  of 
 the  average  of  all  the  four  numbers  is  19 
 less  than  the  greatest  of  these  numbers. 
 If  the  average  of  the  ?rst  three  numbers 
 is  12,  the  greatest  number  among  the 
 given numbers is: 
 SSC CGL 7/06/2019 (Evening) 
 (a) 25  (b) 22  (c) 24       (d) 21 
 Q.63.  The  total  number  of  students  in 
 section  A  and  B  of  a  class  is  110.  The 
 number  of  students  in  section  A  is  10 
 more  than  that  of  section  B.  The  average 
 score  of  the  students  in  B,  in  a  test,  is 
 20%  more  than  that  of  students  in  A.  If 
 the  average  score  of  all  the  students  in 
 the  class  is  72,  then  what  is  the  average 
 score of the students in A? 
 SSC CGL 7/06/2019 (Afternoon) 
 (a) 66  (b) 68  (c) 63  (d) 70 
 Q.64.  Three  numbers  are  such  that  if  the 
 average  of  any  two  of  them  is  added  to 
 the  third  number,  the  sums  obtained  are 
 168,  174  and  180  respectively.  What  is 
 the  average  of  the  original  three 
 numbers? 
 SSC CGL 4/06/2019 (Evening) 
 (a) 86  (b) 87  (c) 89  (d) 84 
 Q.65.  The  average  weight  of  a  certain 
 number  of  students  in  a  class  is  68.5  kg. 
 If  4  new  students  having  weights  72.2  kg, 
 70.8kg,  70.3kg  and  66.7  kg  join  the  class, 
 then  the  average  weight  of  all  the 
 students  increases  by  300  g.  The  number 
 of students in the class, initially is: 
 SSC CGL 4/06/2019 (Afternoon) 
 (a) 21    (b) 16  (c) 11  (d) 26 
 Q.66.  The  average  of  twelve  numbers  is 
 42.  The  average  of  the  last  ?ve  numbers 
 is  40  and  that  of  the  ?rst  four  numbers  is 
 44.  The  6th  number  is  6  less  than  the 
 ?fth  and  5  less  than  the  7th  number.  The 
 average  of  the  5th  and  the  7th  numbers 
 is: 
 SSC CGL 4/06/2019 (Morning) 
 (a) 44  (b) 44.5  (c) 43  (d) 43.5 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.67.  At  a  Yoga  center,  60%  of  the 
 members  are  men  and  40%  of  the 
 members  are  women.  If  the  average  age 
 of  the  men  is  55  years  and  the  average 
 age  of  the  women  is  45  years,  then  what 
 is  the  average  age  (in  years)  of  all  the 
 members ? 
 SSC CHSL Tier II  02/11/2023 
 (a) 51  (b) 48  (c) 50  (d) 49 
 Q.68.  The  average  weight  of  40  students 
 of  a  school  is  52  kg.  If  the  weight  of  the 
 teacher  is  included,  the  average  weight 
 rises  by  500  grams.  Find  the  weight  (in 
 kg) of the teacher. 
 SSC CHSL Tier II  02/11/2023 
 (a) 72.5  (b) 74.5  (c) 73.5  (d) 71.5 
 Q.69.  The average salary of all 40 
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Page 5


 Pinnacle  Day: 84th - 86th  Average 
 Average 
 Key Points: 
 1)  An  average  or  arithmetic  mean  of 
 given  data  is  the  sum  of  the  given 
 observations  divided  by  the  number  of 
 observations. 
 For  example  :  If  we  have  to  ?nd  out  the 
 average  of  10,  15,  25  and  30,  then 
 required average will be equal to: 
 =  20 
 10    +    15    +    25    +    30 
 4 
=
 80 
 4 
 Therefore,  we  can  say,  Average  (A)  = 
 ??????     ????     ??h??     ??????????     ????????????????????????    ( ?? )
 ????????????     ????     ????????????????????????    ( ?? )
 2)  If  all  the  numbers  increase  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 increase by ‘a’. 
 3)  If  all  the  numbers  decrease  by  ‘a’  then 
 the  average  of  the  numbers  will  also 
 decrease by ‘a’. 
 4)  If  all  the  numbers  are  multiplied  by  ‘a’ 
 then  their  average  must  also  be 
 multiplied by ‘a’. 
 5)  If  all  the  numbers  are  divided  by  ‘a’ 
 then  their  average  must  also  be  divided 
 by ‘a’. 
 6)  Average of ?rst n natural numbers 
 = 
 ??       +    1 
 2 
( )
 7)  Average of ?rst n even numbers 
 = ( ?? + 1 )
 8)  Average of ?rst n odd numbers =  ?? 
 9)  Average of consecutive numbers 
 = 
 ??????????     ????????????    +    ????????     ???????????? 
 2 
 10)  Average of 1 to n odd numbers 
 = 
 ????????     ??????     ????????????       +    1 
 2 
 11)  Average of 1 to n even numbers 
 = 
 ????????     ????????     ????????????    +    2 
 2 
 12)  Average  of  squares  of  ?rst  n  natural 
 numbers = 
( ??    +    1 )( 2  ??    +    1 )
 6 
 13)  Average  of  cubes  of  ?rst  n  natural 
 numbers = 
 ?? ( ??    +    1 )
 2 
 4 
 14)  Average  of  n  multiples  of  any  number 
 = 
 ????????????        ×    ( ??    +    1 )
 2 
 15)  Combined  mean  or  combined 
 average : 
 If  the  mean  of  and  observations  are  ?? 
 1 
 ?? 
 2 
 and  respectively then,  ?? 
 1 
 ?? 
 2 
 Combined mean = 
 ?? 
 1 
 ?? 
 1 
      +    ?? 
 2 
 ?? 
 2 
   
    ?? 
 1 
   +    ?? 
 2 
 Ex  :  If  the  average  marks  of  30  boys  is  50 
 and  40  girls  is  60,  then  ?nd  the  combined 
 average marks of the whole class. 
 Soln :  Combined average marks of whole 
 class  =  = 
 30    ×    50    +    40    ×    60 
 30    +    40 
 =  = 55.71 marks 
 1500    +    2400 
 70 
 3900 
 70 
 16)  Basically  the  term  Run  Rate  means 
 how  many  runs  have  been  scored  in  one 
 over  of  a  cricket  match.  Higher  run  rate  is 
 good for batsmen. 
 Run rate = 
 ??????????     ????????     ???????????? 
    ????????????     ????     ??????????     ???????????? 
 Ex  :  If  the  batsman  has  scored  225  runs 
 in 9 overs, ?nd his run rate. 
 Soln : Run rate =  = 25 runs/over 
 225 
 9 
 17)  Bowling Average 
 = 
 ??????????     ????????     ?????????????? 
 ??????????     ????????????     ????     ??????????????     ?????????? 
 Lower  Bowling  average  is  good  for 
 bowlers. 
 Ex  :  If  the  bowler  has  taken  3  wickets 
 allowing  120  runs,  ?nd  his  bowling 
 average. 
 Bowling  Average  =  =  40 
 120 
 3 
 runs/wicket 
 18)  If  the  average  is  x  and  a  number 
 having  value  greater  than  x  is  added  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value  less 
 than  x  is  added  then  the  new  average  will 
 be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 6. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  6  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 greater than the old average. 
 So,  new  average  =  =  =  3.5 
 15    +    6 
 5    +    1 
 21 
 6 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 adding 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  less  than 
 the old average. 
 So,  new  average  =  =  =  2.83 
 15    +    2 
 5    +    1 
 17 
 6 
 which is less than 3. 
 19)  If  the  average  is  x  and  a  number 
 having  value  less  than  x  is  removed  then 
 the  new  average  will  be  greater  than  x. 
 Similarly,  if  a  number  having  value 
 greater than x is removed then the new 
 average will be less than x. 
 Ex  1.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 2. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  2  is  less  than  the  old  average, 
 the  new  average  is  going  to  be  greater 
 than the old average. 
 So,  new  average  =  =  =  3.25 
 15    -    2 
 5    -    1 
 13 
 4 
 which is greater than 3. 
 Ex  2.  The  average  of  the  ?rst  ?ve  natural 
 numbers  is  3.  Find  a  new  average  after 
 removing 4. 
 Soln  :  The  ?rst  ?ve  natural  numbers  are  : 
 1, 2, 3, 4, 5. 
 Sum of ?rst ?ve natural numbers 
 = 3  5 = 15 ×
 As  number  4  is  greater  than  the  old 
 average,  the  new  average  is  going  to  be 
 less than the old average. 
 So,  new  average  =  =  =  2.75 
 15    -    4 
 5    -    1 
 11 
 4 
 which is less than 3. 
 Variety Questions 
 Q.1.  Rajender  is  working  as  a  delivery 
 boy  in  a  multinational  company.  The 
 company  is  paying  him  ?90  per  delivery. 
 In  a  fortnight  comprising  15  consecutive 
 working  days,  his  average  earnings  per 
 day  was  ?540.  If  his  average  earnings  of 
 the  ?rst  7  days  was  ?519  per  day  and 
 that  of  the  last  7  days  was  ?546  per  day, 
 then  at  was  his  earning  on  the  8th  day  of 
 the fortnight? 
 SSC CHSL 07/08/2023 (3rd Shift) 
 (a) ?571  (b) ?681   (c) ?661   (d) ?645 
 Q.2.  The  average  weight  of  a  group  of  12 
 children  is  66  kg.  If  2  children,  X  and  Y, 
 replace  A  and  B,  the  new  average  weight 
 becomes  65  kg.  The  weight  of  A=  weight 
 of  B  and  the  weight  of  X  =  weight  of  Y. 
 Another  child,  C,  is  included  in  the  group, 
 and  the  new  average  weight  remains  65 
 kg.  Weight  of  C=  weight  of  X.  Find  the 
 weight of A. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 69 kg  (b) 72 kg  (c)  71 kg (d) 67 kg 
 Q.3.  Sudesh  is  the  owner  of  a 
 multipurpose  shop.  For  a  speci?c  month, 
 his pro?ts are detailed below. 
 Category  Pro?t earned in  ? 
 Groceries                   50,000 
 Cosmetics  20,000 
 Ladies' dresses  10,000 
 In order to estimate the expected pro?t 
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 Pinnacle  Day: 84th - 86th  Average 
 for  the  next  month,  he  assigns  the 
 weights  of  6,  5  and  8  to  the  different 
 categories  in  the  same  order.  What  will 
 be the weighted average of his pro?ts? 
 SSC CHSL 03/08/2023 (2nd Shift) 
 (a)  25,265.18 (nearly)  ? 
 (b)  24,863.16 (nearly)  ? 
 (c)  25,163.16 (nearly)  ? 
 (d)  25,263.16 (nearly)  ? 
 Q.4.  During  a  school  excursion  each 
 student  of  junior  school  was  charged 
 ?325  and  each  student  of  senior  school 
 was  charged  ?400.  If  there  were  80 
 students  from  junior  school  and  the 
 combined  average  amount  charged  per 
 student  was  ?352,  then  how  many 
 students  from  senior  school  went  for  the 
 excursion? 
 SSC CGL 24/07/2023 (1st shift) 
 (a) 55  (b) 45  (c) 50  (d) 40 
 Q.5.  In  ?150,  B  buys  10  pens  for  ?8  each, 
 10  erasers  for  ?5  each  and  some 
 sharpeners  for  ?4  each.  What  is  the 
 average price per item in  ?? 
 SSC CGL 19/07/2023 (3rd shift) 
 (a) 8  (b) 7  (c) 10  (d) 6 
 Q.6.  20  students  of  a  college  went  to  a 
 hotel.  19  of  them  spent  ?175  each  on 
 their  meal  and  the  20 
 th 
 student  spent  ?19 
 more  than  the  average  of  all  the  20. 
 Find the total money spent by them. 
 SSC CGL 17/07/2023 (4th shift) 
 (a) ?3,490  (b) ?3,540 
 (c) ?3,520  (d) ?3,500 
 Q.7.  The  average  score  in  a  test  for  50 
 students  is  44.  Out  of  the  total  students, 
 40%  of  the  students  are  girls  and  the  rest 
 are boys. The average score of boys is 
 20% less than that of girls. What is the 
 average score of girls? 
 Higher Secondary 27/06/2023 (Shift - 3) 
 (a) 50  (b) 54  (c) 48  (d) 52 
 Q.8.  A  is  the  average  of  10  given 
 numbers.  B  is  the  average  after  2  of  the 
 numbers  were  replaced  by  3  other 
 different  numbers.  The  average  of  the 
 removed  numbers  is  48  and  the  average 
 of  the  newly  included  numbers  is  56.  If  A 
 + B = 438, then the value of A - B is: 
 Matriculation Level 27/06/2023 (Shift - 2) 
 (a) 21  (b) 14  (c) 12  (d) 26 
 Q.9.  Average  of  8  numbers  is  44.  The 
 average  of  ?rst  three  numbers  is  50  and 
 the  average  of  next  two  numbers  is  52.  If 
 the  sixth  number  is  6  and  8  less  than 
 seventh  and  eighth  number  respectively, 
 then what is the value of eighth number? 
 SSC MTS 16/05/2023 (Morning) 
 (a) 36  (b) 32  (c) 40  (d) 56 
 Q.10.  Eleven  friends  spent  Rs.  18  each 
 on  a  tour  and  the  twelfth  friend  spent  Rs. 
 11  less  than  the  average  expenditure  of 
 all  twelve  of  them.  What  is  the  total 
 money spent by twelve friends 
 SSC MTS 02/05/2023 (Afternoon) 
 (a) Rs.204  (b) Rs.215 
 (c) Rs.212  (d) Rs.208 
 Q.11.  Sonali  applied  for  a  job  of  Science 
 teacher  in  a  school.  In  the  test  for  job, 
 she  scored  8  in  physics,  8  in  chemistry,  6 
 in  biology,  and  6.5  in  the  interview.  For 
 calculating  the  ?nal  score,  weightage  of 
 2,  3,  3,  and  4  were  assigned  to  Physics, 
 Chemistry,  Biology  and  interview, 
 respectively.  What  is  the  weighted 
 average score of Sonali ? 
 SSC CGL 06/12/2022 (1st Shift) 
 (a) 7    (b) 8.4      (c) 7.2    (d) 21 
 Q.12.  The  batting  average  for  27  innings 
 of  a  cricket  player  is  47  runs.  His  highest 
 score  in  an  innings  exceeds  his  lowest 
 score  by  157  runs.  If  these  two  innings 
 are  excluded,  the  average  score  of  the 
 remaining  25  innings  is  42  runs.  Find  his 
 highest score in an innings. 
 SSC CGL 01/12/2022 (1st Shift) 
 (a) 176  (b) 188  (c) 186  (d) 174 
 Q.13.  In  an  o?ce,  80%  workers  are  men 
 while  20%  are  women.  The  average  age 
 of  the  men  is  30  and  the  average  age  of 
 the  women  is  40.  What  is  the  average 
 age of all the workers in that o?ce? 
 Graduate Level 04/08/2022 (Shift - 2) 
 (a) 50  (b) 32  (c) 30  (d) 35 
 Q.14.  The  average  age  of  a  husband  and 
 his  wife  3  years  ago  was  39  years.  The 
 average  age  of  the  husband,  wife  and 
 their  child  2  years  hence  will  be  34  years. 
 Find the present age of the child. 
 SSC MTS 11/07/2022 (Afternoon) 
 (a) 12 years  (b) 16 years 
 (c) 15 years  (d) 18 years 
 Q.15.  In  a  family  of  six  males  and  a  few 
 females,  the  average  monthly 
 consumption  of  grain  head  is  14.4  kg.  If 
 the  average  monthly  consumption  per 
 head  is  20  kg  in  the  case  of  males  and  6 
 kg  in  the  case  of  females.  Find  the 
 number of females in the family? 
 SSC MTS 11/07/2022 (Morning) 
 (a) 8  (b) 4  (c) 6  (d) 7 
 Q.16.  A  is  the  average  marks  of  a  group 
 of  10  students  in  a  class  and  A+8  is  the 
 average  of  a  group  of  15  students  which 
 includes  the  group  of  10  students  as 
 given.  The  total  marks  obtained  by  the 
 group  of  10  students  is  X  and  the  total 
 marks  obtained  by  the  group  of  15 
 students  is  Y.  If  X  :  Y  =  3  :  5,  then  the 
 value of A + X + Y is _________. 
 SSC CHSL 30/05/2022 (Afternoon) 
 (a) 1964  (b) 1845  (c) 2012  (d) 1992 
 Q.17.  A  retailer  opens  her  outlet  on  all 
 seven  days  of  the  week.  It  is  observed 
 that  her  average  sales  for  Saturdays  and 
 Sundays  combined  is  300,  and  200     ?  ? 
 for  the  remaining  ?ve  days  combined. 
 For  a  month  starting  on  saturday,  it  was 
 found  that  the  total  sales  were  7,000.  ? 
 Which  among  the  following  months  it 
 could be 
 SSC MTS 05/10/2021 (Morning) 
 (a) March  (b) April  (c) Jan  (d) Feb 
 Q.18.  Consider  ten  consecutive  odd 
 numbers  starting  from  5.  Multiply  each 
 of  them,  except  the  ?rst  and  the  second, 
 with  three.  What  will  be  the  average  of 
 the ten numbers so formed? 
 SSC MTS 5/10/2021 (Morning) 
 (a) 39.6   (b) 39    (c) 42    (d) 38.4 
 Q.19.  What  is  the  average  of  numbers 
 from  1  to  50  which  are  multiples  of  2  or 
 5? (correct to one decimal place) 
 SSC CGL 24/8/2021 (Evening) 
 (a) 25.4  (b) 25.9    (c) 26.4       (d) 25.8 
 Q.20.  The  average  weight  of  students  of 
 section  A  and  B  having  40  students  each 
 is  45.5  kg  and  44.2  kg  respectively.  Two 
 students  of  section  A  having  average 
 weight  48.75  kg  were  shifted  to  B  and  2 
 students  of  section  B  were  shifted  to 
 section  A,  making  the  average  weight  of 
 both  the  sections  equal.  What  is  the 
 average  weight  (in  kg)  of  the  students 
 who  were  shifted  from  section  B  to 
 section A? 
 SSC CGL 23/8/2021 (Afternoon) 
 (a) 34.5      (b) 35  (c) 35.75   (d) 34.25 
 Q.21.  In  an  examination,  the  average 
 score  of  a  student  was  67.6.  If  he  would 
 have  got  27  more  marks  in  Mathematics, 
 10  more  marks  in  Computer  Science,  18 
 more  marks  in  History  and  retained  the 
 same  marks  in  other  subjects,  then  his 
 average  score  would  have  been  72.6. 
 How  many  papers  were  there  in  the 
 examination? 
 SSC CGL 23/8/2021 (Morning) 
 (a) 11     (b) 10     (c) 12  (d) 9 
 Q.22.  The  average  monthly  salary  of  60 
 employees  of  a  factory  is  Rs.29900.  If 
 two  o?cers  are  getting  Rs.90,000  each 
 and  the  average  salary  of  8  supervisors 
 is  Rs.65,000,  then  what  is  the  average 
 salary  (in  Rs.)  of  the  remaining 
 employees? 
 SSC CGL 20/8/2021 (Afternoon) 
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 Pinnacle  Day: 84th - 86th  Average 
 (a) 21080  (b) 22680 (c) 29080 (d) 21880 
 Q.23.  What  is  the  ratio  of  the  average  of 
 ?rst  eight  prime  numbers  to  the  average 
 of ?rst ten even natural numbers? 
 SSC CGL 16/8/2021 (Afternoon) 
 (a) 1 : 7  (b) 7 : 80   (c) 8 : 70     (d) 7 : 8 
 Q.24.  x,  y  and  z  are  three  positive 
 numbers  such  that  y  is  times  of  x  and 
 4 
 5 
 z  is  times  of  y.  If  the  average  of 
 5 
 8 
 reciprocals  of  the  numbers  x,  y  and  z  is 
 ,  then  the  average  of  3  times  of  x 
 17 
 240 
 and 5 times of y will be: 
 SSC CHSL 10/8/2021 (Afternoon) 
 (a) 70        (b) 60  (c) 40        (d) 45 
 Q.25.  The  numbers  2,  3,  4  and  5  occur  (2 
 +  5k),  (5k  -  7),  (2k  -  3)  and  (k  +  2)  times, 
 respectively.  The  average  of  the  number 
 is  2.85.  Later  on,  the  number  2  was 
 replaced  by  6  in  all  the  places.  What  is 
 the average of the new numbers? 
 SSC CHSL 5/8/2021 (Evening) 
 (a) 2.4  (b) 5.25  (c) 3.85   (d) 4.75 
 Q.26.  If  the  average  of  the  3-digit 
 numbers  335,  2x5,  x35,  63x  and  406  is 
 411,  then  what  will  be  the  average  of  (x  - 
 1), (x - 3), (x + 3) and (x + 5) ? 
 SSC CHSL 16/4/2021 (Afternoon) 
 (a) 6  (b) 3  (c) 5         (d) 4 
 Q.27.  The  average  of  the  numbers  a,  b,  c 
 and  d  is  2d  +  4,  Also,  the  averages  of  the 
 numbers  a  and  b,  b  and  c,  c  and  d  are  8,  5 
 and  4,  respectively.  If  e  =  a  +  d  +  1,  then 
 what  is  the  average  of  the  numbers  d  and 
 e ? 
 SSC CHSL 13/4/2021 (Evening) 
 (a)  8  (b) 8.5       (c) 3         (d) 7 
 Q.28.  The  average  of  four  consecutive 
 odd  natural  numbers  is  eight  less  than 
 the  average  of  three  consecutive  even 
 natural  numbers.  If  the  sum  of  these 
 even  numbers  is  equal  to  the  sum  of 
 above  four  odd  numbers,  then  the 
 average of four original odd numbers is: 
 SSC CHSL 20/10/2020 (Afternoon) 
 (a) 36  (b) 24        (c) 18        (d) 32 
 Q.29.  The  average  of  nine  2  digit 
 numbers  is  decreased  by  6  when  the 
 digits  of  one  of  the  2  digit  numbers  is 
 interchanged.  Find  the  difference 
 between the digits of that number. 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 6  (b) 4  (c) 2       (d) 8 
 Q.30.  The  numbers  24,  45,  a,  35,  59,  83, 
 46,  b,  29,  74  are  serially  numbered  as 
 they  appear  in  the  sequence.  When  each 
 number  is  added  to  its  serial  number, 
 then  the  average  of  the  new  numbers 
 formed  is  55.  The  average  of  the  missing 
 numbers (a and b) is: 
 SSC CHSL 13/10/2020 (Afternoon) 
 (a) 38           (b) 58          (c) 62     (d) 50 
 Q.31.  The  average  of  35  consecutive 
 natural  numbers  is  N.  Dropping  the  ?rst 
 10  numbers  and  including  the  next  10 
 numbers,  the  average  is  changed  to  M.  If 
 the  value  of  M  -  N  =  600,  then  the 
 2  2 
 average of 3M and 5N is: 
 SSC CHSL 13/10/2020 (Morning) 
 (a) 90     (b) 120     (c) 100     (d) 115 
 Q.32.  A  batsman  in  his  11th  innings 
 makes  a  score  of  77  runs,  thereby 
 increasing  his  average  scores  by  3.  What 
 is  his  average  score  after  the  11th 
 innings? 
 SSC  CHSL 17/03/2020 (Morning ) 
 (a) 46         (b) 49       (c) 47         (d) 48 
 Q.33.  The  average  age  of  husband,  wife 
 and  child  7  years  ago  was  42  years  and 
 that  of  wife  and  child  9  years  ago  was  36 
 years. The present age of the husband is: 
 SSC CPO 12/12/2019(Evening) 
 (a) 50         (b) 55     (c) 48            (d) 57 
 Q.34.  A  batsman  scores  92  runs  in  the 
 15th  innings  and  thus  increases  his 
 average  by  4.  What  is  his  average  after 
 the 15th innings? 
 SSC CPO 12/12/2019(Evening) 
 (a) 40         (b) 32        (c) 35         (d) 36 
 Q.35.  The  average  age  of  120  students  in 
 a  group  is  13.56  years,  35%  of  the 
 number  of  students  are  girls  and  the  rest 
 are  boys.  If  the  ratio  of  the  average  age 
 of  boys  and  girls  is  6:5,  then  what  is  the 
 average age (in years) of the girls? 
 SSC CGL Tier II (13/09/2019) 
 (a) 12      (b) 11.6  (c) 10        (d) 14.4 
 Q.36.  The  average  of  18  numbers  is  37.5. 
 If  six  numbers  of  average  x  are  added  to 
 them,  then  the  average  of  all  the 
 numbers  increases  by  one.  The  value  of  x 
 is : : 
 SSC CGL Tier II (13/09/2019) 
 (a) 40  (b) 41.5  (c) 42  (d) 38.5 
 Q.37.  The  average  weight  of  a  certain 
 number  of  students  in  a  group  is  72  kg.  If 
 10  students  having  an  average  weight  of 
 78  kg  leave  and  4  students  having  an 
 average  weight  of  80  kg  join  the  group, 
 the  average  weight  of  the  students  in  the 
 group  decreases  by  0.7  kg.  The  number 
 of students initially in the group is : 
 SSC CGL Tier II (12/09/2019) 
 (a) 56  (b) 46  (c) 44  (d) 54 
 Q.38.  The  average  of  33  numbers  is  74. 
 The  average  of  the  ?rst  17  numbers  is 
 72.8  and  that  of  the  last  17  numbers  is 
 77.2.  If  the  17th  number  is  excluded,  then 
 what  will  be  the  average  of  the  remaining 
 numbers (correct to one decimal place)? 
 SSC CGL Tier II (12/09/2019) 
 (a) 72.9  (b) 73.4    (c) 71.6     (d) 70.8 
 Q.39.  The  number  of  students  in  a  class 
 is  75,  out  of  which  33  %  are  boys  and 
 1 
 3 
 the  rest  are  girls.  The  average  score  in 
 mathematics  of  the  boys  is  66  %  more 
 2 
 3 
 than  that  of  the  girls.  If  the  average  score 
 of  all  the  students  is  66,  then  the  average 
 score of the girls is: 
 SSC CGL Tier II (11/09/2019) 
 (a) 52  (b) 55  (c) 54  (d) 58 
 Q.40.  The  owner  of  a  bike  buys  petrol  at 
 the  rate  of  Rs.  64,  Rs.  80  and  Rs.  320  per 
 litre  for  three  consecutive  years.  If  he 
 spends  Rs.  32000  on  petrol  every  year, 
 then  what  is  the  average  price  (Rs.)  of 
 petrol per litre ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 120  (b) 84     (c) 108       (d) 96 
 Q.41.  An  art  exhibition  was  held  in  the 
 month  of  november.  The  numbers  of 
 visitors  on  weekdays  and  on  weekends 
 were  450  and  750  respectively.  If  the  ?rst 
 day of the month was Monday, then what 
 was the average number of visitors in the 
 month ? 
 SSC MTS 16/08/2019 (Evening) 
 (a) 520     (b) 530    (c) 510     (d) 540 
 Q.42.  A  person  was  asked  to  guess  his 
 own  weight.  He  estimated  his  weight  to 
 be  over  70  kg  but  less  than  80  kg.  His 
 friend  estimated  his  weight  to  be  more 
 than  74  kg  but  less  than  84  kg.  His 
 mother  said  that  his  weight  is  less  than 
 78  kg.  Assuming  that  the  weights  are  a 
 whole  number  and  that  the  three  had 
 correctly  guessed,  then  what  is  the 
 average of the possible weights(in Kg)? 
 SSC MTS 14/08/2019 (Morning) 
 (a) 76.5  (b) 76  (c) 77  (d) 75 
 Q.43.  A  party  was  held  for  50  people  on 
 their  own  expenses.  Out  of  them,  48 
 people  paid  Rs.  950  each  and  the  other 
 two  persons  paid  Rs.  1200  more  than  the 
 average  expenses  of  the  group.  The  total 
 amount spent was : 
 SSC MTS 14/08/2019 (Morning) 
 (a) Rs 75,000  (b) Rs 40,000 
 (c) Rs 25,000  (d) Rs 50,000 
 Q.44.  Out  of  four  numbers  the  average  of 
 the  ?rst  three  is  16  and  that  of  the  last 
 three is 15. If the last number is 21 then 
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 Pinnacle  Day: 84th - 86th  Average 
 the ?rst number is: 
 SSC MTS 13/08/2019 (Evening) 
 (a) 28  (b) 22  (c) 21  (d) 24 
 Q.45.  The  average  of  all  the  prime  and 
 composite numbers upto 100 is: 
 SSC MTS  9/08/2019 (Morning) 
 (a) 51  (b) 50  (c) 50.5  (d) 49.5 
 Q.46.  What  is  the  average  of  the  ?rst  15 
 whole numbers? 
 SSC MTS  08/08/2019 (Morning) 
 (a) 8  (b) 7  (c) 9  (d) 10 
 Q.47.  What  is  the  average  of  the  ?rst  8 
 multiples  of  6  among  the  natural 
 numbers? 
 SSC MTS 07/08/2019 (Evening) 
 (a) 24  (b) 26  (c) 27  (d) 28 
 Q.48.  The  average  of  a  and  b  is  36.  The 
 average  of  b  and  c  is  42.  What  is  the 
 difference between c and a ? 
 SSC MTS  6/08/2019 (Afternoon) 
 (a) 18  (b) 12  (c) 16  (d) 14 
 Q.49.  The  average  of  1088  real  numbers 
 is  zero.  At  most  how  many  of  them  can 
 be negative? 
 SSC CHSL 11/07/2019 (Morning) 
 (a) 100  (b) 88    (c) 544  (d) 1087 
 Q.50.  The  difference  between  the  average 
 of  ?rst  ten  prime  numbers  and  the  ?rst  ten 
 prime numbers of two digits is: 
 SSC CHSL 10/07/2019 (Evening) 
 (a) 14.5  (b) 16.5  (c) 12.5    (d) 13.5 
 Q.51.  The  average  of  the  ?rst  101  ______ 
 numbers is equal to 102. 
 SSC CHSL 10/07/2019 (Afternoon) 
 (a) natural  (b) odd 
 (c) even  (d) perfect square 
 Q.52.  The  average  of  the  ?rst  1234 
 _______ numbers is equal to 1234. 
 SSC CHSL 10/07/2019 (Morning) 
 (a) odd  (b) even  (c) prime   (d) natural 
 Q.53.  The  average  of  a  number  and  its 
 reciprocal  is  4.  The  average  of  its  cube 
 and cube of its reciprocal is equal to: 
 SSC CHSL 9/07/2019 (Evening) 
 (a) 256  (b) 142  (c) 288  (d) 244 
 Q.54.  The  average  age  of  four  brothers  is 
 15  years.  If  their  father  is  included,  the 
 average  is  increased  by  5  years.  The  age 
 of the father (in years) is: 
 SSC CHSL 5/07/2019 (Afternoon) 
 (a) 35  (b) 40  (c) 38  (d) 36 
 Q.55.  10  years  ago,  the  average  age  of  a 
 family  of  ?ve  members  was  38  years. 
 Now,  two  new  members  join,  whose  age 
 difference  is  8  years.  If  the  present 
 average  age  of  the  family  is  the  same  as 
 it  was  10  years  ago,  what  is  the  age  (in 
 years) of the new younger member? 
 SSC CHSL 4/07/2019 (Afternoon) 
 (a) 15  (b) 9  (c) 10  (d) 17 
 Q.56.  The  average  of  n  number  is  36.  If 
 each  of  75%  of  the  numbers  is  increased 
 by  6  and  each  of  the  remaining  numbers 
 is  decreased  by  9,  then  the  new  average 
 of the numbers is: 
 SSC CHSL 4/07/2019 (Morning) 
 (a) 37.125 (b) 33.75 (c) 38.25 (d) 36.25 
 Q.57.  The  average  weight  of  the  students 
 in  a  group  was  75.4  kg.  Later  on,  four 
 students  having  weights,  72.9  kg,  73.8 
 kg,  79.5  kg  and  87.4  kg  joined  the  group. 
 As  a  result,  the  average  weight  of  all  the 
 students  in  the  group  increased  by  0.24 
 kg.  What  was  the  number  of  students  in 
 the group, initially ? 
 SSC CHSL 3/07/2019 (Morning) 
 (a) 46  (b) 36  (c) 50  (d) 48 
 Q.58.  In  a  class  of  80  students,  60% 
 participate  in  games  and  the  rest  do  not. 
 The  average  weight  of  the  former  group 
 is  5%  more  than  that  of  the  latter.  If  the 
 average  weight  of  all  the  students  is  51 
 kg,  then  what  is  the  average  weight  (in 
 1 
 2 
 kg) of the former group? 
 SSC CHSL 2/07/2019 (Afternoon) 
 (a) 57.6  (b) 54.5  (c) 60  (d) 52.5 
 Q.59.  The average of 27 numbers is zero. 
 Out  of  them,  how  many  may  be  greater 
 than zero, at the most? 
 SSC CGL 13/06/2019 (Evening) 
 (a) 0  (b) 15  (c) 26  (d) 20 
 Q.60.  In  a  class  of  40  students,  45%  are 
 girls  and  the  remaining  are  boys.  If  the 
 average  marks  of  the  girls  is  54  and  that 
 of  the  boys  is  46,  what  is  the  average  of 
 the whole class? 
 SSC CGL 11/06/2019 (Afternoon) 
 (a) 49.8  (b) 49.7  (c) 49.6   (d) 49.5 
 Q.61.  The  average  marks  of  40  students 
 was  found  to  be  68.  If  the  marks  of  two 
 students  were  incorrectly  entered  as  48 
 and  64  instead  of  84  and  46  respectively, 
 then what is the correct average? 
 SSC CGL 10/06/2019 (Afternoon) 
 (a) 68.25 (b) 68.15 (c) 68.45 (d) 68.35 
 Q.62.  Four  different  positive  numbers  are 
 written  in  ascending  order.  One-third  of 
 the  average  of  all  the  four  numbers  is  19 
 less  than  the  greatest  of  these  numbers. 
 If  the  average  of  the  ?rst  three  numbers 
 is  12,  the  greatest  number  among  the 
 given numbers is: 
 SSC CGL 7/06/2019 (Evening) 
 (a) 25  (b) 22  (c) 24       (d) 21 
 Q.63.  The  total  number  of  students  in 
 section  A  and  B  of  a  class  is  110.  The 
 number  of  students  in  section  A  is  10 
 more  than  that  of  section  B.  The  average 
 score  of  the  students  in  B,  in  a  test,  is 
 20%  more  than  that  of  students  in  A.  If 
 the  average  score  of  all  the  students  in 
 the  class  is  72,  then  what  is  the  average 
 score of the students in A? 
 SSC CGL 7/06/2019 (Afternoon) 
 (a) 66  (b) 68  (c) 63  (d) 70 
 Q.64.  Three  numbers  are  such  that  if  the 
 average  of  any  two  of  them  is  added  to 
 the  third  number,  the  sums  obtained  are 
 168,  174  and  180  respectively.  What  is 
 the  average  of  the  original  three 
 numbers? 
 SSC CGL 4/06/2019 (Evening) 
 (a) 86  (b) 87  (c) 89  (d) 84 
 Q.65.  The  average  weight  of  a  certain 
 number  of  students  in  a  class  is  68.5  kg. 
 If  4  new  students  having  weights  72.2  kg, 
 70.8kg,  70.3kg  and  66.7  kg  join  the  class, 
 then  the  average  weight  of  all  the 
 students  increases  by  300  g.  The  number 
 of students in the class, initially is: 
 SSC CGL 4/06/2019 (Afternoon) 
 (a) 21    (b) 16  (c) 11  (d) 26 
 Q.66.  The  average  of  twelve  numbers  is 
 42.  The  average  of  the  last  ?ve  numbers 
 is  40  and  that  of  the  ?rst  four  numbers  is 
 44.  The  6th  number  is  6  less  than  the 
 ?fth  and  5  less  than  the  7th  number.  The 
 average  of  the  5th  and  the  7th  numbers 
 is: 
 SSC CGL 4/06/2019 (Morning) 
 (a) 44  (b) 44.5  (c) 43  (d) 43.5 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.67.  At  a  Yoga  center,  60%  of  the 
 members  are  men  and  40%  of  the 
 members  are  women.  If  the  average  age 
 of  the  men  is  55  years  and  the  average 
 age  of  the  women  is  45  years,  then  what 
 is  the  average  age  (in  years)  of  all  the 
 members ? 
 SSC CHSL Tier II  02/11/2023 
 (a) 51  (b) 48  (c) 50  (d) 49 
 Q.68.  The  average  weight  of  40  students 
 of  a  school  is  52  kg.  If  the  weight  of  the 
 teacher  is  included,  the  average  weight 
 rises  by  500  grams.  Find  the  weight  (in 
 kg) of the teacher. 
 SSC CHSL Tier II  02/11/2023 
 (a) 72.5  (b) 74.5  (c) 73.5  (d) 71.5 
 Q.69.  The average salary of all 40 
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 Pinnacle  Day: 84th - 86th  Average 
 employees,  including  35  non-teaching 
 staff  members,  of  a  school  is  ?4,000.  If 
 the  average  salary  of  the  non-teaching 
 staff  members  is  ?4,200,  ?nd  the  average 
 salary  of  the  remaining  staff  of  the 
 school. 
 SSC CHSL Tier II  10/01/2024 
 (a) ?3,600  (b) ?2,600 
 (c) ?2,800  (d) ?2,300 
 Q.70.  The  average  of  the  ?rst  eight 
 multiples of 6 is: 
 SSC CHSL Tier II  10/01/2024 
 (a) 24  (b) 27  (c) 30  (d) 25 
 Q.71.  Find  the  average  of  the  prime 
 numbers lying between 69 and 92. 
 SSC CHSL Tier II  10/01/2024 
 (a) 79  (b) 82  (c) 80  (d) 81 
 SSC CGL 2023 Tier - 2 
 Q.72.  The  average  weight  of  the  ?rst 
 thirteen  persons  among  fourteen 
 persons  is  78  kg.  The  weight  of  the  14th 
 person  is  39  kg  more  than  the  average 
 weight  of  all  the  fourteen  persons.  Find 
 the weight of the 14th person. 
 SSC CGL Tier II  ( 26/10/2023 ) 
 (a) 118 kg  (b) 98 kg 
 (c) 110 kg  (d) 120 kg 
 SSC CPO 2023 Tier - 1 
 Q.73.  The  average  weight  of  15  people 
 increases  by  3.2  kg  when  a  new  person 
 comes  in  place  of  one  of  them  weighing 
 52 kg. The weight of the new person is: 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a)  96 kg  (b) 100 kg 
 (c)  52 kg  (d) 48 kg 
 Q.74.  The  average  weight  of  A,  B  and  C  is 
 77  kg.  If  the  average  weight  of  A  and  B  is 
 68  kg  and  that  of  B  and  C  is  83  kg,  then 
 the weight (in kg) of B is: 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 71  (b) 74  (c) 67  (d) 73 
 Q.75.  The  average  of  45  numbers  was 
 found  to  be  39.  Later  on,  it  was  detected 
 that  a  number  65  was  misread  as  56. 
 Find  the  correct  average  of  the  given 
 numbers. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 36.2  (b) 37.2  (c) 38.2  (d) 39.2 
 Q.76.  What  is  the  average  of  the  ?rst  six 
 prime numbers? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 6  (b) 6  (c) 6  (d) 6 
 2 
 3 
 5 
 6 
 1 
 6 
 1 
 3 
 Q.77.  Rakesh  runs  a  coaching  institute 
 having  50  faculty  members.  The  average 
 monthly  salary  of  35  faculty  members  is 
 ?37,500.  What  will  be  the  average 
 monthly  salary  (in  ?)  of  the  other  15 
 faculty  members,  if  the  average  monthly 
 salary  of  all  the  50  faculty  members  is 
 found to be ?30,000? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 12,000  (b) 13,000 
 (c) 12,500  (d) 13,500 
 SSC MTS 2023 Tier - 1 
 Q.78.  In  a  class  of  37  students,  there  are 
 22  girls.  The  average  weight  of  these 
 girls  is  46  kg  and  the  average  weight  of 
 the  whole  class  is  50  kg.  What  is  the 
 average  weight  (in  kg)  of  the  boys  in  that 
 class  ?  (Rounded  off  to  2  decimal 
 places) 
 SSC MTS 01/09/2023 (1st Shift) 
 (a) 60.74  (b) 55.87 
 (c) 61.35  (d) 58.25 
 Q.79.  Student  gets  62,  58,  72,  58  and  83 
 marks  in  Sanskrit,  English,  Mathematics, 
 Social  and  Computer  Science, 
 respectively.  His  average  marks  in 
 Mathematics,  Social  and  Computer 
 Science  are  ______  more  than  the  average 
 marks  in  Sanskrit,  English  and 
 Mathematics. 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) 9  (b) 8  (c) 6  (d) 7 
 Q.80.  The  average  marks  of  13  students 
 in  a  subject  is  66.  If  the  average  of  the 
 ?rst  seven  students  is  67  and  that  of  the 
 last  seven  students  is  69,  then  the  marks 
 of the seventh student is: 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) 99  (b) 91  (c) 97  (d) 94 
 Q.81.  The  average  of  the  ?rst  10  prime 
 number is: 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) 12.9  (b) 9.7  (c) 11.9  (d) 13.4 
 Q.82.  The  average  of  the  ?rst  69  natural 
 numbers is: 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) 34  (b) 35  (c) 33  (d) 36 
 Q.83.  What  is  the  average  of  the  ?rst  13 
 multiples of 3 ? 
 SSC MTS 05/09/2023 (1st Shift) 
 (a) 21  (b) 39  (c) 42  (d) 35 
 Q.84.  The  average  age  of  a  family  of 
 three  members  (mother,  father  and  Son) 
 is  44  years.  After  the  son's  marriage,  the 
 average  age  of  the  family  becomes  39 
 years.  What  is  the  age  of  the 
 daughter-in-law ? 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) 24 years  (b) 25 years 
 (c) 23 years  (d) 22 years 
 Q.85.  The  average  weight  of  20  students 
 of  a  class  was  30.5  kg.  After  6  new 
 students  joined  the  class,  its  average 
 weight  increased  by  2  kg.  Find  the 
 average  weight  of  the  6  new  students 
 who  joined  the  class  (rounded  off  to  one 
 decimal place). 
 SSC MTS 06/09/2023 (1st Shift) 
 (a) 30.5 kg  (b) 32.5 kg 
 (c) 39.2 kg  (d) 38.5 kg 
 Q.86.  A  batsman  makes  96  runs  in  the 
 13 
 th 
 innings  and  thus  his  average 
 increases  by  3.  Find  his  average  after  13 
 innings. 
 SSC MTS 06/09/2023 (1st Shift) 
 (a) 65  (b) 50  (c) 70  (d) 60 
 Q.87.  The  average  of  four  consecutive 
 odd  numbers  is  58.  What  is  the  lowest 
 number ? 
 SSC MTS 06/09/2023 (2nd Shift) 
 (a) 51  (b) 57  (c) 55  (d) 53 
 Q.88.  In  April,  Mr.  Khan  observed  that  his 
 balance  in  his  bank  account  is  ?5,600  for 
 the  ?rst  24  days,  ?12,000  for  the  next  two 
 days  and  ?37,500  in  the  last  4  days  of  the 
 month.  What  is  his  daily  average  balance 
 for April ? 
 SSC MTS 06/09/2023 (3rd Shift) 
 (a) ?10,280  (b) ?15,280 
 (c) ?10,480  (d) ?14,280 
 Q.89.  There  are  48  students  in  a  class. 
 Their  average  weight  is  48  kg.  When  one 
 student  leaves  the  class,  the  average 
 weight  reduces  by  200  grams.  What  is 
 the  weight  of  the  student  who  left  the 
 class? 
 SSC MTS 08/09/2023 (1st Shift) 
 (a) 57.4 kg  (b) 54.7 kg 
 (c) 45.7 kg  (d) 47.5 kg 
 Q.90.  The  average  weight  of  A,  B  and  C  is 
 43  kg.  If  the  average  weight  of  A  and  B  is 
 40  kg  and  that  of  B  and  C  is  41  kg,  then 
 the weight (in kg) of B is ? 
 SSC MTS 08/09/2023 (1st Shift) 
 (a) 41  (b) 43  (c) 33  (d) 37 
 Q.91.  The  speed  of  a  bus  from  station  A 
 to  B  is  55  km/h,  and  while  coming  back 
 from  station  B  to  A,  the  speed  of  the  bus 
 is  95  km/h.  The  average  speed  (in  km/h) 
 of the bus during the whole journey is : 
 SSC MTS 08/09/2023 (2nd Shift) 
 (a)  (b)  (c)  (d)  72 
 1 
 3 
 67 
 1 
 3 
 62 
 2 
 3 
 69 
 2 
 3 
 Q.92.  A  student's  marks  were  incorrectly 
 entered  as  44  instead  of  86.  Due  to  this, 
 the  average  of  the  class  got  decreased 
 by  .  What  is  the  number  of  students  in 
 3 
 2 
 the class ? 
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