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Free MCQs & Online Quiz Practice for Exams

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    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

    Answer: 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)

    Answer: C. (-1±√5)/2

    Q: (-1±√5)/2 in simplified form is

    A) 1±√24
    B) 1±√6
    C) 2±√6
    D) Cannot be simplified

    Answer: 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

    Answer: C. a=2, b=-1, c=-3

    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

    Answer: A. 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

    Answer: B. 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)

    Answer: A. x=±(1/2)

    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

    Answer: A. 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

    Answer: 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

    Answer: A. x²-2x-15=0

    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

    Answer: 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

    Answer: B. 3/7

    Q: Direct variation between a and b is expressed as

    A) a=b
    B) a=k/b
    C) a∝b
    D) a∝1/b

    Answer: C. a∝b

    Q: If m∝(1/n) , then

    A) m=kn
    B) n=km
    C) m/n = k
    D) mn=k

    Answer: 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

    Answer: 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

    Answer: C. a/b=b/d

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

    A) 21
    B) 3
    C) 7
    D) 81

    Answer: A. 21

    Q: The third proportional of x and y is

    A) xy
    B) x/y
    C) y²/x
    D) None of these

    Answer: C. y²/x

    Q: If x∝(1/y) and y∝(1/z), then

    A) y∝(1/z)
    B) x∝z
    C) xy∝z
    D) xz∝y

    Answer: B. x∝z

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

    A) 1/2
    B) 11/2
    C) 10
    D) 9/2

    Answer: B. 11/2

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