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 अभ्यास प्रश्न उत्तर सहित
75 Basic Numeracy बहुविकल्पीय प्रश्नों का अभ्यास करें, विस्तृत उत्तर और व्याख्या सहित। RAS/RPSC परीक्षा की तैयारी के लिए आदर्श।
75 प्रश्न 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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