Question Bank • QB_GA_072 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

In an agricultural engineering college, $60\%$ of students passed in Thermodynamics, $70\%$ passed in Fluid Mechanics, and $50\%$ passed in both subjects. Calculate the percentage of students who failed in both subjects.

Answer Key:

20

Step-by-Step Solution & Explanation

Let $T$ be the set of students passing Thermodynamics, and $F$ passing Fluid Mechanics. $P(T \cup F) = P(T) + P(F) - P(T \cap F) = 60\% + 70\% - 50\% = 80\%$ Percentage of students failing in both subjects: $\text{Failed both} = 100\% - P(T \cup F) = 100\% - 80\% = 20\%$
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