Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 29

MEDIUM

CAT

IMPORTANT

Earn 100

If $x^{4} + \frac{1}{x^{4}} = 47$ , find the value of $x^{3} + \frac{1}{x^{3}}$ .

50% studentsanswered this correctly

Important Questions on X+2 Maths

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 30

If the roots of the equation

{px}^{2} + rx + r = 0

are in the ratio of

a : b

, then find the value of

\sqrt{\frac{b}{a}} + \sqrt{\frac{a}{b}}

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 31

How many numbers in the set

{- 4, - 3, 0, 2}

satisfy the conditions

| y - 4 | \leq 6

and

| y + 4 | < 5

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 32

If

x^{3} - {ax}^{2} + bx + 10

is perfectly divisible by

(x + 5)

and

x^{4} + x^{3} + {bx}^{2} - ax + 42

is perfectly divisible by

(x - 3)

, find the value of

(a - 3 b)

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 33

If

α

and

β

are the roots of

x^{2} + x + 2 = 0

, then

\frac{α^{10} + β^{10}}{α^{- 10} + β^{- 10}}

is equal to:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 34

A man born in

1900 s

realized that in

1980

his age was the square root of the year of his birth. What is his birth year?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 35

In solving a problem on quadratic equation, one student makes a mistake in the constant term of the equation and gets

- 3

and

- 2

for the roots. Another student makes a mistake in the coefficient of the first degree term and finds

- 1

and

- 2

for the roots. The correct equation was:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 36

What is the solution set of the inequation

x^{3} - x^{2} + x - 1 > 0

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 37

The number of distinct real roots of the equation

|V^{2} + V - 6| - 3 V + 7 = 0

is: