The average of 7 consecutive numbers is 33. The largest of these numbers is :

a. 36
b. 33
c. 30
d. 28

• the sum of seven consecutive numbers are
  x, x+1 ,x+2, x+3, x+4, x+5, x+6
  
  
  the average is x+x+1+x+2+x+3+x+4+x+5+x+6 / 7 =33
  7x+21=231
  
  x=30
  
  the highest value x+6 substitute x value will get 36
• 10 years agoHelpfull: Yes(10) No(1)
• ans: 7x+21=231
  x=30
  ans=36
• 12 years agoHelpfull: Yes(1) No(3)
• average=1/2(2a+(n-1)d)
  a=starting number
  n=count of numbers=7
  d=difference between two numbers=1(since consecutive numbers)
  average=33
  1/2(2a+(7-1)1)=33
  1/2(2a+6)=33
  2/2(a+3)=33
  a+3=33
  a=33-3
  a=30
  7 numbers are 30,31,32,33,34,35,36
  ans is 36
• 10 years agoHelpfull: Yes(1) No(0)
• [Rakesh]
  7x+21=231
  x=30
  ans=36
• 10 years agoHelpfull: Yes(0) No(0)
• let 7 numbers be x,x+1,x+2,x+3,x+4,x+5,x+6
  then avg=33=(7x+21)/7
  then x=30
  hence largest number is 36.
• 9 years agoHelpfull: Yes(0) No(0)
• x+x+1+x+2+x+3+x+4+x+5+x+6=33*7
  7x+21=231
  7x=210
  x=30
  
  largest no. is x=6 i.e. 30+6=36
• 9 years agoHelpfull: Yes(0) No(0)
• X+X+1..........+X+6/7=33
  x=30
  x+6=36
• 9 years agoHelpfull: Yes(0) No(0)
• Let the consecutive seven numbers be x, x+1, x+2, x+3, x+4, x+5 and x+6.
  Then, (x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6) / 7 =33
  => x = 30;
  The Largest number will be x+6, so the answer is 36.
• 9 years agoHelpfull: Yes(0) No(0)
• option is:a) 36 is the largest number of the consecutive numbers 30,31,32,33,34,35,36 have the average 33.
• 9 years agoHelpfull: Yes(0) No(0)
• a is the correct option
  
• 8 years agoHelpfull: Yes(0) No(1)
• a.36 is the ans.
  x+(x+1)+(X+2)+(X+3)+(X+4)+(x+5)+(x+6)=231;
• 8 years agoHelpfull: Yes(0) No(0)
• Take common 4th no. is 33
  5th is 34
  6th is 35
  then 7th no automatically 36
• 8 years agoHelpfull: Yes(0) No(0)
• let 7 numbers are
  a,a+1,a+2,a+3,a+4,a+5,a+6
  then sum is a+a+1+a+2+a+3+a+4+a+5+a+6/7=33
  7a+21=231
  a=30
  so answer is c
• 8 years agoHelpfull: Yes(0) No(0)
• firstly find mid no 7+1/2=4th term will be avg
  so 4th term is 33 ,
  5th 34,
  6th 35
  7th 36 final answer
• 7 years agoHelpfull: Yes(0) No(0)
• Ans : 36
  Let the numbers are: x-3,x-2,x-2,x,x+1,x+2,x+3
  so avg of above numbers is x which is equal to 33 (given),
  therefor the largest number is x+3 = 33+3 = 36.
• 7 years agoHelpfull: Yes(0) No(0)
• let us assume the middle one as X
  then consecutive members are X-3,X-2,X-1,X,X+1,X+2,X+3 respectively
  then sum of all =7X
  according to question 7x=33*7
  x=33
  largest number=X+3=33+3=36
• 7 years agoHelpfull: Yes(0) No(0)
• a.36
• 7 years agoHelpfull: Yes(0) No(0)