Allied & ICAR Exam Bank • ALLIED_1729 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A fraction becomes $1/3$ when 1 is subtracted from the numerator and it becomes $1/4$ when 8 is added to its denominator. The fraction is:

Options:

  • (A) 5/12
  • (B) 4/15
  • (C) 7/18
  • (D) 5/18

Answer Key:

A

Step-by-Step Solution & Explanation

Let fraction be $x/y$. $(x-1)/y = 1/3 \implies 3x - y = 3$. $x/(y+8) = 1/4 \implies 4x - y = 8$. Subtracting gives $x = 5$. Then $y = 12$. Fraction is $5/12$.
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