Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 17

MEDIUM

CAT

IMPORTANT

Earn 100

If the coefficient of $x 2$ and the constant term of a quadratic equation are interchanged, then which of the following will not get changed?

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Important Questions on X+2 Maths

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 18

If

(x + 2)^{2} = 9

and

(y + 3)^{2} = 25,

then what is the maximum value of

\frac{x}{y}

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 19

If one of the roots of quadratic equation

2 x^{2} - 7 x + q = 0

is

3

, then what is the other root of this equation?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 20

What is the remainder when the polynomial

x^{4} - 3 x^{2} + 7 x - 10

is divided by

x - 2

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 1

How many real roots will be there of the equation

x^{4} + x^{2} = 0

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 2

If

(x) + (\frac{1}{x}) = 2,

then what is the value of

(x)^{3} + (\frac{1}{x})^{3}

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 3

Given that

{as}^{4} + {bs}^{3} + {cs}^{2} + ds + e = 0

is a bi-quadratic equation in s and

a \neq 0,

what is the value of

(1 - s_{1})

(1 - s_{2}) (1 - s_{3}) (1 - s_{4}) ?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 4

If

(x + 2)

is a factor of

x^{4} - 4 x^{2} + 2 ax + 3 = 0,

then what is the value of

a

?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 5

x^{2} - 5 x + 6 = 0

and

x^{2} + mx + 3 = 0

have a root in common. What is the value of

m

?