How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 35

EASY

CAT

IMPORTANT

Earn 100

The number positive integral solutions to the system of equation $a_{1} + a_{2} + a_{3} + a_{4} + a_{5} = 47$ and $a_{1} + a_{2} = 37$ is:

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Important Questions on Quadratic and Other Equations

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 36

If

f (x)

is a quadratic polynomial, such that

f (5) = 75

and

f (- 5) = 45

,

f (p) = f (q) = 0

, then find

p \times q

, given that the value of the constant term in the polynomial is

10

:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 37

If

|a| + a + b = 75

and

a + |b| - b = 150

, then what is the value of

|a| + |b|

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 38

If

[x]

represents the greatest integer less than or equal to

x

, then the value of

[315^{\frac{1}{3}}] + [316^{\frac{1}{3}}] + [317^{\frac{1}{3}}] + . . . . + [515^{\frac{1}{3}}]

is:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 39

If

a

,

b

,

c

,

d

are five consecutive integers

a < b < c < d < e

and

a^{2} + b^{2} + c^{2} = d^{2} + e^{2}

. What is/are the possible values of

d

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 40

The

9

to

9

supermarket purchases

x

litres of fruit juice from the Fruit Garden Inc for a total price of

$ 4 x^{2}

and sells entire

x

litres at a total price of

$ 10 \times (165 + 16 x)

. Find the minimum amount of profit that the

9

to

9

supermarket makes in the process:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 41

If

α

,

β

are the roots of the quadratic equation

x^{2} + m x + 1 = 0

and

γ

,

δ

are the roots of the equation

x^{2} + n x + 1 = 0

, then the value of

(α - γ) (β - γ) (α + δ) (β + δ)

is equal to:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 42

Find the roots of the quadratic equation

b x^{2} - 2 a c + a = 0

:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 43

If

x^{2} + 3 x - 10

is a factor of

3 x^{4} + 2 x^{3} - a x^{2} + b x - a + b - 4

, then the closest approximate value of

a

and

b

are: