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

EASY

CAT

IMPORTANT

Earn 100

If $(x + 2)$ is a factor of $x^{4} - 4 x^{2} + 2 ax + 3 = 0,$ then what is the value of $a$ ?

50% studentsanswered this correctly

Important Questions on X+2 Maths

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

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 6

Find the number of integral roots of equation

x^{3} - x^{2} + 2 x - 17 = 0 .

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 7

The number of real solutions of

x - \frac{1}{x^{2} - 4} = 2 - \frac{1}{x^{2} - 4}

is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 8

The number of real solutions of the equation

e^{x} = x

is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 9

The sum of the real roots of equation

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

is:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 10

If one root of the equation

(k^{2} + 1) x^{2} + 13 x + 4 k = 0

is reciprocal of the other, then

k

has the value:

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 11

If $α, β$ are the roots of the equation $(x - a) (x - b) = c, c \neq 0,$ then the roots of the equation $(x - α) (x - β) + c = 0$ are –

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 13

If

a,

b

are roots of

x^{2} + px + q = 0

and

g

,

d

are the roots of

x^{2} + px - r = 0,

then

(a - g) (a - d)

is equal to: