How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 32

EASY

CAT

IMPORTANT

Earn 100

If the roots of the equation $x^{3} - a x^{2} + b x - 1080 = 0$ are in the ratio $2 : 4 : 5$ , find the value of the coefficient of $x^{2}$ .

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Important Questions on Quadratic and Other Equations

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 33

If the roots of the equation

p x^{3} - 20 x^{2} + 4 x - 5 = 0

, where

p \neq 0

, are

l

,

m

and

n

, then what is the value of

\frac{1}{l m} + \frac{1}{m n} + \frac{1}{\ln}

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 34

The cost of

10

pears,

8

grapes and

6

mangoes is

₹ 44

. The cost of

5

pears,

4

grapes and

3

mangoes is

₹

22

. Find the cost of

4

mangoes and

3

grapes, if the cost of each items, in rupees, is a natural number and the cost of no two items is the same.

EASY

CAT

IMPORTANT

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

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:

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: