The total number of chocolates with Ram and Lakhan is more than 85 but less than 95. If Lakhan gives a particular number of chocolates to Ram, then Ram will have eight times the number of chocolates left with Lakhan and if Ram gives the same number of chocolates to Lakhan, then Lakhan will have double the number of chocolates left with Ram. How many chocolates does Ram have? 
  • a)
    44 
  • b)
    50
  • c)
    55
  • d)
    56
  • e)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?

CAT Question

By Dhiren Mandowara · Dec 29, 2019 ·CAT
5 Answers
Vishwanathan K answered Feb 22, 2020
The total number of chocolates has to lie between 85 and 95 and has to be divisible by 8+1=9 as well as 2+1=3. The only number satisfying these is 90.
Result I: Ram 80, Lakhan 10
Result II: Ram 30, Lakhan 60
Number of chocolates with Ram = (80+30)/2 = 55
Number of chocolates given/taken by Ram = (80-55) = (55-30) = 25

Patcha Vinay answered Dec 01, 2019
Le X be intially no of chocolates with ram and y be no of chocolates with lakhan.
X+n=8(y-n):x-8y=-9n,2x-y=3n,y=1.4n,X=2.2n:8595: 85<3.6n>95;either n=24,25,26.x and y are integers so 1.4n is integer n=25;ram have x=2.2n=55

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