If y = 2 - x - x 1 + 1 + x , then what is the value of 1 y + 1 + 2 y + 1 y 2 - 1 ?

2 ( 1 - x ) ( x + 2 ) x ( x - 4 )

x 3 27 + x 2 y 15 + xy 2 25 + y 3 125

x 3 27 + x 2 y 25 + xy 2 25 + y 3 125

x 3 25 + x 2 y 15 + xy 2 25 + y 3 125

x 3 27 + xy 15 + xy 2 25 + y 3 125

The value of 27 a 3 - 2 2 b 3 is equal to:

3 a - 2 b 9 a 2 + 2 b 2 + 3 2 ab

3 a - 2 b 9 a 2 + 2 b 2 + 6 2 ab

3 a - 2 b 9 a 2 - 2 b 2 - 3 2 ab

3 a - 2 b 9 a 2 - 2 b 2 + 6 2 ab

EASY

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If \( (x+\frac{1}{x})=3 \) then the value of \( \left ( x^5 + \frac{1}{x^5} \right ) \) is -

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Important Questions on Algebraic Expression

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

The number of polynomials

p (x)

with integer coefficients such that curve

y = p (x)

passes through (

2, 2

) and (

4, 5

) is

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

Find the remainder in the expression

\frac{557 \times 653 \times 672}{9}

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

Two positive numbers differ by

2001

. When the larger number is divided by the smaller number, the quotient is

9

and the remainder is

41

. The sum of the digits of the larger number is:

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

The coefficient of

y

in the expansion

{(2 y - 5)}^{3}

, is:

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

y = \frac{2 - x - x}{1 + 1 + x}

, then what is the value of

\frac{1}{y + 1} + \frac{2 y + 1}{y^{2} - 1}

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

30 x^{2} - 15 x + 1 = 0

, then what is the value of

25 x^{2} + {(36 x^{2})}^{- 1}

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

In a division sum, the divisor is

10

times the quotient and

5

times the remainder. If the remainder is

46

, the dividend is:

HARD

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

When a number is successively divided by

3, 4

and

7

, the remainder obtained is

2, 3

and

5

, respectively. What will be the remainder when

42

divides the same number?

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

(5 x + 2 y) ∶ (10 x + 3 y) = 5 : 9

, then

(2 x^{2} + 3 y^{2}) : (4 x^{2} + 9 y^{2}) = ?

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

12 x^{2} - 21 x + 1 = 0

, then what is the value of

9 x^{2} + {(16 x^{2})}^{- 1}

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

1 - 64 x^{3} - 12 x + {px}^{2} = {(1 - 4 x)}^{3}

, then the value of

p

is:

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

x = 2 + \sqrt{3}

, then what is the value of

\sqrt{2 x} + \frac{1}{\sqrt{2 x}}

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

Expand

{(\frac{x}{3} + \frac{y}{5})}^{3}

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

The value of

27 a^{3} - 2 \sqrt{2} b^{3}

is equal to:

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

2 x^{2} + y^{2} + 8 z^{2} - 2 \sqrt{2} xy + 4 \sqrt{2} yz - 8 zx = {(Ax + y + Bz)}^{2}

, then the value of

(A^{2} + B^{2} - AB)

is:

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

When

3738, 5659

and

9501

are divided by the greatest possible number

x

, the remainder in each case is

y

. what is the sum of

x

and

y

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

Which is the largest six-digit number, which when divided by

12, 15, 20, 24

and

30

, leaves the remainders

8, 11, 16, 20

and

26

respectively.

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

A student was asked to divide a number by

6

and add

12

to the quotient. He, however, first added

12

to the number and then divided it by

6

, getting

112

as the answer. The correct answer should have been _____.

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

x + \frac{1}{x} = 4

, then what is the value of

x^{6} + \frac{1}{x^{6}}

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Algebraic Expressions, Identities and Equations

x = \frac{2 + \sqrt{3}}{2 - \sqrt{3}}

, then what is the value of

x + \frac{1}{x}

If \( (x+\frac{1}{x})=3 \) then the value of \( \left ( x^5 + \frac{1}{x^5} \right ) \) is -

Important Questions on Algebraic Expression

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