Mowgli was inherited with 'x' trees. His mother gifted him with 1 tree for each next birthday. Ranjan was smart enough to calculate the ratio between the number of trees Mowgli had to his age till 8 years of age is always a whole number. What is the min. value of x ?
Options:
A. x<100 B. 3000>x<6000 dont remember other two

• Suppose total number of trees = X;
  His mother gifted 1 tree for every birthday till 8 years.
  Also the ration between trees always should be whole number.....okay lets see the relation..
  (x-1)/1 = whole number,
  (x-2)/2 = whole number,
  (x-3)/3 = whole number,
  (x-4)/4 = whole number,
  (x-5)/5 = whole number,
  (x-6)/6 = whole number,
  (x-7)/7 = whole number,
  (x-8)/8 = whole number
  
  Now we have to find the LCM of (1,2,3,4,5,6,7,8) which is = 840.
  
  Now cross check with each iteration..means
  (840-1)/1 = whole number,
  (840-2)/2 = whole number,
  (840-3)/3 = whole number,
  (840-4)/4 = whole number,
  (840-5)/5 = whole number,
  (840-6)/6 = whole number,
  (840-7)/7 = whole number,
  (840-8)/8 = whole number,
  
  So, the answer will be .... 840
• 6 years agoHelpfull: Yes(11) No(0)