Question

Alifa scores an aggregate of 60% marks in the Five subjects in her Class 8 Year end Examination. Her marks are in the ratio 10:9:8:7:6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did Alifa pass the Examination?

• A. 1
• B. 2
• C. 3
• D. 4
• E. 5

Hint:

Find the marks per subject using the ratio and total marks, then compare with passing marks.

Answer 1

The Correct Option is D

Step 1: Let maximum marks per subject = $M$. Total maximum = $5M$. Alifa's total = $60\%$ of $5M = 3M$.
Step 2: Marks ratio = $10:9:8:7:6$. Sum of ratios = $40$. So each part = $\frac{3M}{40}$.
Step 3: Marks in each subject: Subject 1: $10 \times \frac{3M}{40} = \frac{30M}{40} = 0.75M$ (75%) Subject 2: $9 \times \frac{3M}{40} = \frac{27M}{40} = 0.675M$ (67.5%) Subject 3: $8 \times \frac{3M}{40} = \frac{24M}{40} = 0.6M$ (60%) Subject 4: $7 \times \frac{3M}{40} = \frac{21M}{40} = 0.525M$ (52.5%) Subject 5: $6 \times \frac{3M}{40} = \frac{18M}{40} = 0.45M$ (45%)
Step 4: Passing marks = $50\%$ of $M = 0.5M$. Subjects with marks ≥ 0.5M: Subjects 1,2,3,4 (75%, 67.5%, 60%, 52.5%). Subject 5 (45%) fails.
Step 5: So she passed in 4 subjects.
Step 6: Final Answer: 4.