At a competitive examination at which 600 graduates appeared, boys outnumbered girls by 96. Those qualifying for interview exceeded in number those failing to qualify by 310. The number of science graduate boys interviewed was 300 while among the Arts graduate girls, there were 25 who failed to qualify for interview. Altogether there were only 135 Arts graduates and 33 among them failed to qualify, Boys who failed to qualify numbered 18. Find (a) the number of boys who qualifie for interview, (b) the total number of science graduate boys appearing and (c) the number of science graduate girls who qualified.

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