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If (1235)x = (3033)y, where x and y indicate the bases of the corresponding numbers, then 

If (1235)x = (3033)y, where x and y indicate the bases of the corresponding numbers, then  Correct Answer x = 8 and y = 6

(1235)x = (3033)y

Converting both the RHS and LHS into its decimal equivalent, we get:

(x3 + 2x2 + 3x + 5)10 = (3y3 + 0y2 + 3y + 3)10

Substituting the values given in the options in above equation, we get:

x = 8 and y = 6

Proof:

Putting x = 8 in x3 + 2x2 + 3x + 5

= (8)3 + 2(8)2 + 3(8) + 5

= (669)10

Putting y = 6 in 3y3 + 0y2 + 3y + 3

= 3(6)3 + 3(6) + 3

= 3(216) + 18 + 3

= (669)10

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