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Y has to score 40% marks to pass an exam. He gets 20 marks and fails by 40 marks. The maximum marks of the exam are ?

  • A.100
  • B.200
  • C.150
  • D.250

Answer: C

The maximum marks are 150.

Y scored 20 marks and fell 40 marks short, so the pass mark is \(20 + 40 = 60\). The pass mark is 40% of the maximum:

\[ \begin{aligned} 0.4 \times M &= 60 \\ M &= \frac{60}{0.4} = 150 \end{aligned} \]

Check: 40% of 150 is 60, and 60 minus his 20 is the 40 marks he missed by. 100 would make the pass mark only 40, and 200 or 250 would make it 80 or 100, so he would have failed by 60 or 80 marks instead.

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