Q1. How many 3-digit numbers can be formed from digits 1, 2, 3, 4, 5 without repetition?
A 125
B 120
C 60 Correct
D 80
Explanation
P(5,3) = 5!/(5−3)! = 120/2 = 60. Or: 5 × 4 × 3 = 60 (first digit 5 choices, second 4, third 3).
Basic Numeracy MCQ — 75 Practice Questions with Answers
Practice 75 Basic Numeracy multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.
75 Questions Reasoning & Mental Ability
Practice Questions
Q2. The harmonic mean of 4 and 6 is:
A 5
B 4.8 Correct
C 5.2
D 4.5
Explanation
Harmonic Mean of two numbers = 2ab/(a+b) = 2×4×6/(4+6) = 48/10 = 4.8. The relationship AM ≥ GM ≥ HM holds: AM = 5, GM = √24 ≈ 4.899, HM = 4.8.
Q3. 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:
A 80%
B 100% Correct
C 150%
D 200%
Explanation
Increase = 400 - 200 = 200 tonnes. Percentage increase = (200/200) × 100 = 100%.
Q4. A bag has 5 red and 3 blue balls. Two balls are drawn without replacement. The probability that both are red is:
A 3/8
B 5/8
C 25/64
D 5/14 Correct
Explanation
P(1st red) = 5/8. P(2nd red | 1st red) = 4/7. P(both red) = 5/8 × 4/7 = 20/56 = 5/14. Or: C(5,2)/C(8,2) = 10/28 = 5/14.
Q5. In how many ways can 4 people be seated in a row?
A 16
B 12
C 24 Correct
D 32
Explanation
Number of ways = 4! = 4 × 3 × 2 × 1 = 24. This is a permutation as the order matters.
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Q6. Two dice are thrown simultaneously. The probability that the sum is 7 is:
A 1/6
B 5/36
C 7/36
D 1/12
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Q7. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?
A 80
B 120
C 125
D 60
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Q8. Two coins are tossed simultaneously. The probability of getting at least one head is:
A 3/4
B 1/2
C 1/4
D 2/3
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Q9. A sum of money doubles itself in 5 years at simple interest. The rate of interest per annum is:
A 15%
B 20%
C 25%
D 10%
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Q10. A rectangular garden 60 m × 40 m has a path of width 2 m all around it. The area of the path is:
A 408 m²
B 400 m²
C 480 m²
D 416 m²
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Q11. Two numbers are in the ratio 3 : 5. If 9 is added to each, the new ratio becomes 3 : 4. The smaller number is:
A 15
B 12
C 9
D 18
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Q12. 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:
A ₹6,000
B ₹8,000
C ₹7,500
D ₹9,000
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Q13. The sides of a triangle are 13 cm, 14 cm, and 15 cm. Its area is:
A 84 cm²
B 78 cm²
C 91 cm²
D 72 cm²
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Q14. A starts a business with ₹50,000. After 3 months, B joins with ₹80,000. At the end of the year, the profit is ₹1,68,000. What is B's share of the profit?
A ₹96,000
B ₹72,000
C ₹84,000
D ₹1,08,000
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Q15. The difference between compound interest and simple interest on a sum of ₹8,000 for 2 years at 5% per annum is:
A ₹40
B ₹20
C ₹25
D ₹50
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Frequently Asked Questions
How many Basic Numeracy MCQ questions are available?
There are 75 Basic Numeracy practice MCQs available on Aspirant Academy, with detailed answers and explanations for each question.
Are answers and explanations provided for Basic Numeracy MCQs?
Yes, every Basic Numeracy question comes with the correct answer and a detailed explanation to help you understand the underlying concept.
How is Basic Numeracy relevant to the RAS/RPSC exam?
Basic Numeracy falls under the Reasoning & Mental Ability section of the RAS/RPSC syllabus. It is a frequently tested area and regular practice with these MCQs will strengthen your preparation.
Can I practice Basic Numeracy questions in Hindi?
Yes, Aspirant Academy offers bilingual support. You can practice Basic Numeracy MCQs in both English and Hindi, including questions, options, and explanations.
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