Vinit800HBS wrote:
Great question.
Firstly, it’s important to understand that there are multiple machines of type A, B and C.
Rate of machines of type A = 400 bottles per hour
Rate of machines of type B = 600 bottles per hour
Statement 1:
400A + 600B = 4800
2A + 3B = 24
Now, various combinations that satisfy the above condition are (A,B): (3,6),(6,4) and (9,2)
As no information about C is available, we can’t comment on number of machines working in all.
Statement 1 alone is Insufficient.
Statement 2:
Number of machines of B:Number of machines of C = 2:1
No information about A.
Statement 2 is insufficient.
Combining statement 1 and 2:
This is where it gets interesting
Number of machines of C is half of that of B. Keeping this thing in mind, let’s evaluate the three combinations that we have got.
First combination (A,B,C) = (3,6,3)
Total machines = 12
Second combination (A,B,C) = (6,4,2)
Total machines = 12
Third combination (A,B,C) = (9,2,1)
Total machines = 12
Hence, Statement 1 and 2 together ARE SUFFICIENT
ANSWER IS OPTION C
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Hi,
Could you explain this part :
First combination (A,B,C) = (3,6,3)
Total machines = 12
Second combination (A,B,C) = (6,4,2)
Total machines = 12
Third combination (A,B,C) = (9,2,1)
Total machines = 12