HCS · Civil Services Aptitude Test (Paper II — Qualifying)
Numbers, magnitudes, percentages, ratios.
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Q1 · Basic Numeracy (Class X level) · EASY
A shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on the marked price. What is his gain or loss percentage?
Q2 · Basic Numeracy (Class X level) · MEDIUM
A train 150 meters long crosses a platform of length 250 meters in 20 seconds. What is the speed of the train in km/hr?
Q3 · Basic Numeracy (Class X level) · EASY
If the price of sugar decreases by 20%, by what percentage can a household increase its consumption so that the expenditure on sugar remains the same?
Q4 · Basic Numeracy (Class X level) · EASY
A sum of money amounts to ₹6,760 in 2 years and ₹7,240 in 3 years at simple interest. What is the principal amount?
Q5 · Basic Numeracy (Class X level) · MEDIUM
A mixture contains milk and water in the ratio 7:3. If 20 liters of water is added to the mixture, the ratio becomes 7:5. What was the initial quantity of milk in the mixture?