# Mathematical Reasoning MCQs with Answers

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## Mathematical Reasoning Online MCQs with Answers

Which of the following is a valid statement in mathematical reasoning?
a) 2 + 2 = 5
b) All cats are dogs
c) If x > 5, then x + 2 > 7
d) The sun is made of cheese

c) If x > 5, then x + 2 > 7

Which property states that if a = b and b = c, then a = c?
a) Reflexive property
b) Symmetric property
c) Transitive property
d) Associative property

c) Transitive property

What is the square root of 144?
a) 11
b) 12
c) 13
d) 14

b) 12

Which mathematical operation is the opposite of exponentiation?
b) Subtraction
c) Multiplication
d) Division

d) Division

If a triangle has two sides of equal length, it is called a:
a) Scalene triangle
b) Equilateral triangle
c) Isosceles triangle
d) Right triangle

c) Isosceles triangle

Which of the following is not a prime number?
a) 11
b) 13
c) 15
d) 17

c) 15

What is the value of π (pi) approximately?
a) 3.14
b) 2.71
c) 1.62
d) 0.577

a) 3.14

Which of the following is the identity element for addition?
a) 0
b) 1
c) -1
d) 10

a) 0

If a number is divisible by 2 and 3, it must also be divisible by:
a) 5
b) 7
c) 9
d) 12

d) 12

What is the value of 3! (3 factorial)?
a) 3
b) 6
c) 9
d) 12

b) 6

The sum of two consecutive integers is always:
a) Odd
b) Prime
c) Even
d) Negative

c) Even

Which of the following is an irrational number?
a) 0.25
b) 0.5
c) √2
d) 2.5

c) √2

What is the slope of a vertical line?
a) 0
b) 1
c) -1
d) Undefined

d) Undefined

Which mathematical operation has the highest precedence?
b) Subtraction
c) Multiplication
d) Division

c) Multiplication

If x = 5 and y = 7, what is the value of x + y?
a) 10
b) 11
c) 12
d) 13

c) 12

What is the sum of the interior angles of a triangle?
a) 90 degrees
b) 180 degrees
c) 270 degrees
d) 360 degrees

b) 180 degrees

Which of the following is a prime factorization of 36?
a) 2 × 2 × 2 × 9
b) 2 × 2 × 2 × 3 × 3
c) 2 × 3 × 6
d) 3 × 3 × 4

b) 2 × 2 × 2 × 3 × 3

What is the value of log10(1)?
a) 0
b) 1
c) -1
d) Undefined

a) 0

What is the range of the function f(x) = x^2?
a) All real numbers
b) All positive real numbers
c) All non-negative real numbers
d) All negative real numbers

c) All non-negative real numbers

If a + b = 10 and a – b = 4, what is the value of a?
a) 2
b) 4
c) 6
d) 8

c) 6

What is the sum of the first 10 positive even numbers?
a) 45
b) 50
c) 55
d) 60

d) 60

What is the probability of rolling a 6 on a fair six-sided die?
a) 1/6
b) 1/3
c) 1/2
d) 2/3

a) 1/6

Which of the following is a solution to the equation 2x – 5 = 7?
a) x = -1
b) x = 1
c) x = 6
d) x = 8

d) x = 8

What is the value of 5 squared?
a) 5
b) 10
c) 15
d) 25

d) 25

In a circle, what is the ratio of the circumference to the diameter?
a) π
b) 2π
c) π/2
d) 1/π

b) 2π

What is the absolute value of -8?
a) -8
b) 0
c) 8
d) Undefined

c) 8

Which of the following is a prime number?
a) 20
b) 29
c) 30
d) 33

b) 29

What is the sum of the angles in a quadrilateral?
a) 90 degrees
b) 180 degrees
c) 270 degrees
d) 360 degrees

d) 360 degrees

If a bag contains 4 red marbles, 3 blue marbles, and 5 green marbles, what is the probability of drawing a blue marble?
a) 1/12
b) 1/4
c) 3/12
d) 3/5

b) 1/4

What is the value of 2 raised to the power of 0?
a) 0
b) 1
c) 2
d) Undefined

b) 1

Which of the following is a composite number?
a) 17
b) 19
c) 23
d) 27

d) 27

If the sum of two angles is 90 degrees, what type of angles are they?
a) Acute angles
b) Obtuse angles
c) Right angles
d) Straight angles

c) Right angles

What is the median of the numbers 2, 4, 6, 8, 10?
a) 4
b) 6
c) 8
d) 10

c) 8

Which of the following is the commutative property of addition?
a) a + b = b + a
b) a – b = b – a
c) a × b = b × a
d) a ÷ b = b ÷ a

a) a + b = b + a

What is the value of 10 factorial (10!)?
a) 100
b) 1,000
c) 10,000
d) 3,628,800

d) 3,628,800

What is the value of the expression 3(2 + 4)?
a) 9
b) 12
c) 18
d) 24

d) 24

What is the square of the number -5?
a) -10
b) 0
c) 5
d) 25

d) 25

Which of the following is a rational number?
a) √2
b) √3
c) 0.75
d) π

c) 0.75

What is the value of 2 + 2 × 2 – 2?
a) 2
b) 4
c) 6
d) 8

c) 6

If a box contains 10 red balls and 20 blue balls, what is the probability of drawing a red ball?
a) 1/3
b) 1/2
c) 2/3
d) 3/4

a) 1/3

What is the value of the expression | -8 |?
a) -8
b) 0
c) 8
d) Undefined

c) 8

Which of the following is not a type of angle?
a) Right angle
b) Straight angle
c) Perfect angle
d) Acute angle

c) Perfect angle

What is the value of 0.5 × 0.5 × 0.5 × 0.5?
a) 0.125
b) 0.25
c) 0.5
d) 1

a) 0.125

If a = 3 and b = 4, what is the value of a^2 + b^2?
a) 5
b) 7
c) 9
d) 25

d) 25

What is the value of 2^3 × 2^4?
a) 6
b) 12
c) 14
d) 16

d) 16

Which of the following is a prime factorization of 48?
a) 2 × 3 × 4 × 4
b) 2 × 2 × 2 × 6
c) 2 × 2 × 2 × 2 × 3
d) 3 × 3 × 4

c) 2 × 2 × 2 × 2 × 3

What is the value of 4! (4 factorial)?
a) 4
b) 8
c) 12
d) 24

d) 24

In a right-angled triangle, the side opposite the right angle is called the:
a) Hypotenuse
c) Opposite side
d) Base

c) Opposite side

What is the value of log10(100)?
a) 0
b) 1
c) 2
d) Undefined