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1. Robin has 4 times as many marbles as Azad has and 5 times as many as Kalam has. If Kalam has more than 40 marbles, what is the least number of marbles Robin could have?
- A. 200
- B. 200
- C. 200
- D. 200
Answer: Option D
Explanation:
let,
azad = a
robin = r
kalam = k
ATQ,
r = 4a = 5k
5k = 4a
k = 4a/5......i
again given k is more than 40
k>40
let k = 41
from equation... i
41 = 4a/5
a = 205/4 which is not integer
accordingly if k = 42, 43
a is not integer
but if k = 44
a = (44*5)/4
= 55
so minimum value of k is 44 for which minimum value of a is integer
r = 4a or r = 5k
r = 4*55 or r = 5*44
r = 220
ans: 220
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