PEO, OPSC ASO, Odisha Police SI, Constable 2026 | Math Previous Year Question Paper Mock Test 12

Are you preparing for PEO, OPSC ASO, Odisha Police SI, Constable 2026 examinations? This Math Previous Year Question Paper Mock Test is designed to help candidates practice important Mathematics questions commonly useful for competitive examinations.

This mock test covers important topics such as probability, set theory, mensuration, geometric mean, dice problems, wheel rotation and basic mathematical concepts. Each question includes the correct answer and a short explanation for better understanding.

Math Previous Year Question Paper Mock Test

The PEO, OPSC ASO, Odisha Police SI, Constable 2026 Math Previous Year Question Paper Mock Test is useful for candidates who want to improve their calculation speed, accuracy and problem-solving skills.

Topics Covered

Set Theory and Power Set
Probability
Marble and Sock Probability
Dice Probability
Mensuration
Cylinder and Sphere
Wheel Rotation
Geometric Mean
Independent Events
Basic Arithmetic Concepts

1. If a set has n elements, what is the cardinality of its power set?

2ⁿ

n²

A set with n elements has 2ⁿ subsets, so the cardinality of its power set is 2ⁿ.

2. What is the probability of picking an even number from 1 to 100?

1/4

1/2

2/3

3/4

There are 50 even numbers from 1 to 100 out of 100 numbers. Therefore, the probability is 50/100 = 1/2.

3. An urn contains 10 white, 5 red, and 25 black marbles. What is the probability of picking a white or red marble?

1/4

3/8

1/2

5/8

Total marbles = 40 and favorable marbles = 10 + 5 = 15. Probability = 15/40 = 3/8.

4. How many small spheres of radius 3.5 cm can be made from a cylinder of radius 14 cm and height 21 cm?

Equating the cylinder volume to the total volume of the small spheres gives 72 spheres.

5. How many times does a wheel of diameter 105 cm rotate to cover a distance of 330 meters?

100

125

The circumference is π × 105 = 330 cm. Since 330 meters = 33,000 cm, rotations = 33,000/330 = 100.

6. What is the probability of selecting a vowel from the letters in the word ‘PROBABILITY’?

2/11

3/11

4/11

5/11

PROBABILITY has 11 letters, of which O, A, I and I are vowels. Therefore, the probability is 4/11.

7. Given P(A) = 0.3 and P(A ∪ B) = 0.8 for independent events A and B, what is P(B)?

1/2

5/7

3/5

4/7

Using P(A ∪ B) = P(A) + P(B) – P(A)P(B), we get 0.8 = 0.3 + 0.7P(B), so P(B) = 5/7.

8. A bag contains 5 brown and 4 white socks. What is the probability of drawing two socks of the same color?

1/3

4/9

5/9

2/3

Total ways to choose two socks = C(9,2) = 36. Same-color ways = C(5,2) + C(4,2) = 10 + 6 = 16. Probability = 16/36 = 4/9.

9. When two dice are thrown, what is the probability of getting a total score of 5?

1/12

1/9

1/6

5/36

There are 36 possible outcomes. Four outcomes give a total of 5: (1,4), (2,3), (3,2), and (4,1). Probability = 4/36 = 1/9.

10. What is the geometric mean of the sequence 3, 3², 3³, …, 3ⁿ?

3ⁿ

3ⁿ⁄²

3⁽ⁿ⁺¹⁾⁄²

3ⁿ⁺¹

The product of the n terms is 3 raised to n(n+1)/2. Taking the nth root gives the geometric mean as 3⁽ⁿ⁺¹⁾⁄².

Score: 0 | Attempted: 0 / 10 | Accuracy: 0%

Who Can Practice This Mock Test?

This Mathematics mock test can be useful for candidates preparing for:

OSSSC PEO 2026
OPSC ASO 2026
Odisha Police SI 2026
Odisha Police Constable 2026
Other Odisha competitive examinations

Practice each question carefully and check the explanation after answering. Regular practice with Mathematics MCQs can help improve speed and accuracy during competitive examinations.

Why Practice Math Previous Year Questions?

Previous-year-style questions and mock tests help candidates become familiar with common question patterns and important mathematical concepts. They also provide an opportunity to identify topics that need more practice.

Attempt the complete PEO, OPSC ASO, Odisha Police SI, Constable 2026 Math Previous Year Question Paper Mock Test and use your results to improve your preparation.

Start the Math Mock Test now and practice important Mathematics questions for Odisha competitive examinations.

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