Free MCQs & Online Quiz Practice for Exams

Q: If (x+1)(x-5)=0, then the solutions are

A) x=1, -5

B) x=1, 5

C) x=-1, -5

D) x=-1, 5

Q: x² - x - 1 = 0, then x =

A) (1±√5)/2

B) -1±(√5/2)

C) (-1±√5)/2

D) 1±(√5/2)

Q: (-1±√5)/2 in simplified form is

A) 1±√24

B) 1±√6

C) 2±√6

D) Cannot be simplified

Q: To apply quadratic formula to 2x² - x = 3

A) a=2, b=-1, c=3

B) a=2, b=1, c=3

C) a=2, b=-1, c=-3

D) a=2, b=-1, c=0

Q: If x² - 3x - 4=0, then the solutions are

A) x=4, -1

B) x=-4, 1

C) x=4, 1

D) x=-4, -1

Q: 2x² + 4x - 9 = 0, then the solutions are

A) x=(2±√22)/2

B) x=(-2±√22)/2

C) x=2±(√22)/2

D) x=-2±(√22)/2

Q: x² - (1/4) = 0, the solutions are

A) x=±(1/2)

B) x=±(1/4)

C) x=±(1/8)

D) x=±(1/16)

Q: What are the solutions of the equation x² + 7x - 18 = 0

A) x=2 or -9

B) x=-2 or 9

C) x=-2 or -9

D) x=2 or 9

Q: Which of the following values of x are roots of the equation x² - 8x + 15 = 0

A) x=1 or x=-7

B) x=2 or x=4

C) x=-2, or x=4

D) x=3 or x=5

Q: The sum of the roots of a quadratic equation is 2 and the sum of the cubes of the roots is 98. The equation is

A) x²-2x-15=0

B) x²-2x+15=0

C) x²-4x+15=0

D) None of these

Q: If a, b, c are positive real numbers, then both the roots of ax²+bx+c=0 are always

A) Real & positive

B) Real & negative

C) Rational & unequal

D) None of these

Q: If a & b are the roots of 4x²-3x+7=0, then the value of 1/a + 1/b is

A) -3/4

B) 3/7

C) -3/7

D) 4/7

Q: Direct variation between a and b is expressed as

A) a=b

B) a=k/b

C) a∝b

D) a∝1/b

Q: If m∝(1/n) , then

A) m=kn

B) n=km

C) m/n = k

D) mn=k

Q: Identify the item that does not have the same ratio as the other three

A) 30/45

B) 4:6

C) 2:3

D) 3:2

Q: If a/b=c/d then by alternendo property

A) (a-b)/b =(c-d)/d

B) a/(a+b)= c/(c+d)

C) a/b=b/d

D) b/a=d/c

Q: If 7:9 :: x:27, then x=

A) 21

B) 3

C) 7

D) 81

Q: The third proportional of x and y is

A) xy

B) x/y

C) y²/x

D) None of these

Q: If x∝(1/y) and y∝(1/z), then

A) y∝(1/z)

B) x∝z

C) xy∝z

D) xz∝y

Q: If 2a+1:21::4:7, then a=

A) 1/2

B) 11/2

C) 10

D) 9/2