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Q1. A sum of money becomes double in 5 years at simple interest. The rate of interest per annum is:
Explanation
If the sum doubles, then SI = P (the interest equals the principal). SI = P×R×T/100, so P = P×R×5/100. Therefore R×5 = 100, and R = 20%. General formula: For sum to become n times in T years at SI, Rate = (n-1)×100/T.
Q2. In a queue, Amit is 10th from the front and 15th from the back. How many people are in the queue?
Explanation
Total = Position from front + Position from back - 1 = 10 + 15 - 1 = 24.
Q3. A factory's production (in tonnes): 2019=200, 2020=250, 2021=300, 2022=350, 2023=400. The percentage increase from 2019 to 2023 is:
Explanation
Increase = 400 − 200 = 200. % increase = (200/200) × 100 = 100%.
Q4. In a pie chart showing monthly expenditure, the central angle for 'Food' is 108°. If the total monthly expenditure is ₹25,000, the expenditure on food is:
Explanation
Expenditure on food = (Central angle / 360°) × Total expenditure = (108/360) × 25000 = 0.3 × 25000 = ₹7,500.
Q5. Find the next number in the series: 3, 7, 11, 15, 19, ?
Explanation
This is an arithmetic progression with common difference 4. Each term increases by 4: 19 + 4 = 23.
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Q6. If 3 : x :: x : 48, then the value of x is:
Q7. The diagonals of a rhombus are 24 cm and 10 cm. Its area is:
Q8. If the price of sugar increases by 25%, by what percentage should a household reduce consumption so that the expenditure remains the same?
Q9. The sides of a triangle are 13 cm, 14 cm, and 15 cm. Its area is:
Q10. A rectangular garden 60 m × 40 m has a path of width 2 m all around it. The area of the path is:
Q11. If the circumference of a circle is 44 cm, its area is (take π = 22/7):
Q12. The difference between compound interest and simple interest on a sum of ₹8,000 for 2 years at 5% per annum is:
Q13. At what time between 5 and 6 o'clock are the hour and minute hands at an angle of 90°?
Q14. Find the next number in the series: 1, 3, 6, 10, 15, 21, ?
Q15. A rectangular garden of dimensions 60 m × 40 m has a path of width 2 m all around it. The area of the path is:
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