Q1. 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.
Practice 72 Basic Numeracy multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.
Q1. 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.
Q2. The geometric mean of 4 and 16 is:
Explanation
Geometric Mean of two numbers a and b = √(a × b) = √(4 × 16) = √64 = 8. Note: GM is always ≤ AM. Here AM = (4+16)/2 = 10 > 8 = GM.
Q3. The compound amount on ₹16,000 at 20% per annum for 1 year, compounded half-yearly, is:
Explanation
Half-yearly rate = 20/2 = 10%. Number of periods = 2 (for 1 year). A = P(1 + R/100)ⁿ = 16000 × (1 + 10/100)² = 16000 × (1.1)² = 16000 × 1.21 = ₹19,360.
Q4. A line graph shows temperature (°C) over 5 days: Mon=32, Tue=35, Wed=30, Thu=28, Fri=35. The average temperature is:
Explanation
Average = (32+35+30+28+35)/5 = 160/5 = 32°C.
Q5. 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.
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Q6. The diagonals of a rhombus are 24 cm and 10 cm. Its area is:
Q7. The following table shows production (in tonnes) of a factory: Year: 2019=200, 2020=250, 2021=300, 2022=350, 2023=400. The percentage increase in production from 2019 to 2023 is:
Q8. At what time between 5 and 6 o'clock are the hour and minute hands at an angle of 90°?
Q9. A rectangular garden 60 m × 40 m has a path of width 2 m all around it. The area of the path is:
Q10. By selling an article for ₹690, a shopkeeper gains 15%. The cost price of the article is:
Q11. The population of a town increases by 10% in the first year and decreases by 10% in the second year. If the original population was 10,000, the population after 2 years is:
Q12. In a queue, Amit is 10th from the front and 15th from the back. How many people are in the queue?
Q13. The difference between compound interest and simple interest on a sum of ₹8,000 for 2 years at 5% per annum is:
Q14. In how many ways can 4 people be seated in a row?
Q15. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?
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