NIMCET 2023 — Reasoning PYQ

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Question

NIMCET 2023 — Reasoning PYQ

NIMCET | Reasoning | 2023

In the half – yearly exam only 60% of the students were passed. Out of these (passed in half- yearly) only 70% students are passed in annual exam, out of remaining students (who fail in half- yearly exam) 80% passed in annual exam. What percent of the students passed the annual exam?

Choose the correct answer:

Explanation

1. The percentage of students who passed the half-yearly exam is $60%$ .
2. The percentage of students who failed the half-yearly exam is calculated as $100% - 60% = 40%$ .
3. The percentage of students who passed the annual exam from those who passed the half-yearly exam is $70%$ of $60%$ , which is calculated as $\frac{70}{100} \times 60% = 42%$ .
4. The percentage of students who passed the annual exam from those who failed the half-yearly exam is $80%$ of $40%$ , which is calculated as $\frac{80}{100} \times 40% = 32%$ .
5. The total percentage of students who passed the annual exam is the sum of the percentages from steps $3$ and $4$ , which is $42% + 32% = 74%$ . [1]
Final Answer
The percentage of students who passed the annual exam is $74%$ .