n is greater then 100 . find the probability. and sum of n nub 101,102,103,104...........n is divisible by (n-100)...

(A) 3/4 (B) 1/2 (C) 1/3 (D) 1/100

• ans: (B) 1/2
  explanation:
  start from n=101.. according to q.. sum i.e 101/(101-100) is divisible
  now take n=102..according to q.. sum i.e 101+102/(102-100) is not divisible
  now take n=103.. according to q.. sum i.e 101+102+103/(103-100) is divisible
  now take n=104..according to q.. sum i.e 101+102+103+104/(104-100) is not divisible
  .
  .
  .
  from above u will observe that for half of value of "n" the given sum will be divided by (n-100)..and for rest half it will not be divided.
  so. the probability that sum is divisible by (n-100) will be 1/2
  
  
• 9 years agoHelpfull: Yes(2) No(0)