Given x-y = 61.
Lets try out the options.
From 1) x+y = 64.
Then 2x = 125.
x has to be an integer. Hence 1 is wrong.
From 2) x+y = 125.
Then 2x = 186.
x = 93 and y = 32.
Since x and y are cubes. Using 93 smaller cubes, a bigger cube cannot be made. Hence option 2 is wrong.
Similarly checking the rest of the options. From 4, we get x = 125 and y = 64.
x = 125 = 5*5*5
y = 64 = 4*4*4.
Hence D is the correct option
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76% (01:55) correct 
