Allied & ICAR Exam Bank • ALLIED_2146MCQ • 2 Marks
Section 8: General Aptitude
Quantitative Aptitude
Subtopic: Numerical Computation
Question Statement:
Working together, A and B can complete a coding assignment in 12 days. If A works at twice his actual efficiency and B works at one-third of his actual efficiency, the work is finished in 9 days. How many days would A alone take to finish the assignment at his normal efficiency?
Options:
(A) 18 days
(B) 20 days
(C) 24 days
(D) 15 days
Answer Key:
B
Step-by-Step Solution & Explanation
$a + b = 1/12$ and $2a + b/3 = 1/9$. Multiplying first by $1/3$: $a/3 + b/3 = 1/36$. Subtracting: $(5/3)a = 1/9 - 1/36 = 3/36 = 1/12 \implies a = 1/20$. Time = 20 days.