Free MCQs & Online Quiz Practice for Exams

Q: Factorization of a²-b²+10b-25 is

A) (a-b+5)(a-b+5)

B) (a+b-5)(a-b+5)

C) (a+b-5)(a+b-5)

D) (a+b-5)(a-b-5)

Q: Completely factorize 16x⁴-81

A) (2x-3)(2x+3)(4x²+9)

B) (4x²-9)(4x²+9)

C) (2x-3)(2x+3)(2x-3)

D) (4x²-9)(2x-3)(2x+3)

Q: H.C.F of a³-8b³ and a²-4ab+4b² is

A) a-2b

B) a²+2ab+b²

C) a+2b

D) (a+2b)²

Q: L.C.M of (2x+3y)⁵ and (2x+3y)³ is

A) 2x+3y

B) (2x+3y)⁵

C) (2x+3y)²

D) (2x+3y)³

Q: H.C.F of a³-b³ and a²+ab+b² is

A) a+b

B) a²+ab+b²

C) a-b

D) (a-b)²

Q: L.C.M of (a-b)² and (a-b)³ is

A) (a-b)

B) (a-b)³

C) (a-b)²

D) (a-b)⁴

Q: Reduce to lowest terms: 10(x+3)(x-2)/15(x-2)

A) 2(x+3)/3

B) 2x/15

C) 10(x+3)/15

D) 2/15

Q: Simplified form of (25a²-b²)/(5a-b) is

A) 5a+b

B) 5a-b

C) 25a²-b²

D) 25a²-1

Q: Simplify: (x²+4x+3)/(x²-x-6)

A) (x+1)(x+3)/(x-3)(x+2)

B) (x+3)/(x-2)

C) (x+1)/(x-2)

D) (x+1)(x+3)/(x-2)(x+3)

Q: Simplify (x²-2x-3)/(3x²+x-2)

A) (x-3)/(3x-2)

B) (-2x-3)/(3x-2)

C) (-2x-2)/(x-3)

D) (x+1)/(3x+2)

Q: L.C.M relation between two numbers is

A) L.C.M = H.C.F

B) A×B/H.C.F

C) A×B×H.C.F

D) H.C.F/A×B

Q: L.C.M of (a²-a+1) and (a³+1) is

A) a²-a+1

B) a³+1

C) a²+a+1

D) (a+1)(a²-a+1)

Q: Which quadrilateral must have diagonals that are congruent and perpendicular?

A) Rhombus

B) Square

C) Trapezoid

D) Parallelogram

Q: How many equilateral triangles can be made by joining the midpoints of the sides of an equilateral triangle?

A) 2

B) 3

C) 4

D) Cannot be determined

Q: Which statement must be true?

A) If a parallelogram is not a rectangle then it is not a square

B) If a parallelogram is not a square then it is not a rectangle

C) All rectangles are squares

D) If a parallelogram is a rectangle then it is a square

Q: Which quadrilateral's diagonals are perpendicular to each other and bisect the figure's opposite angles?

A) Trapezoid

B) Rectangle

C) Rhombus

D) Parallelogram

Q: If opposite angles of a quadrilateral are equal in measure and none of them is a right angle then the quadrilateral is a

A) Square

B) Parallelogram

C) Trapezoid

D) Rectangle

Q: Medians of a triangle are divided by the point of concurrency in the ratio

A) 2:1

B) 2:3

C) 1:3

D) None of these

Q: Solve for x: 1/2 |x-6|-4=-1

A) x=12

B) x=8 and x=4

C) x=12 and x=0

D) No solution

Q: Solve for x: |3x-1|=2

A) x=1

B) x=1 and x=-1/3

C) x=1 and x=-1

D) x=1 and x=1/3