Mathematics>Algebra>Product of Expressions and Identities>Identities

EASY

Earn 100

Write L.H.S and R.H.S of the simple equation: $5 p = 25$

Important Questions on Product of Expressions and Identities

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

A man's present age is

8

times more than his son. After

10 yr

, he will be thrice the age of his son. How old is son at present?

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

Solving equation

m + \sqrt{m} = 6 / 25

the value of '

m

' works out to

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

The non-zero solution of the equation

\frac{a - x^{2}}{b x} - \frac{b - x}{c} = \frac{c - x}{b} - \frac{b - x^{2}}{c x}

, where

b \neq 0, c \neq 0

is

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If in an additive model

O

refers to original data as

875

,

T

refers to trend

700, S

refers to seasonal variations

200, C

refers to cyclical variations

75

, then the value of

I

which refers to irregular variations is_____.

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If $x$ is a natural number.

If $x^{2} + a x + 16$ is a perfect square number, then which number is $a$ ?

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

The difference between ages of two men is

8 yr

.

16 yr

ago, their ages were in the ratio

3 : 2

. The present age of elder is

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If g.c.d.

(24, 20) = 3 x + 1

, then

x =

_____

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

There were

200

employees in an office in which

150

were married. Total male employees were

160

out of which

120

were married. What was the number of female unmarried employees?

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If

x

is a natural number, what number is to be added to

x^{2} + 6 x

to get a perfect square?

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If $x$ is a natural number.

If $x^{2} + a x + b$ is a perfect square, prove that $a^{2} = 4 b$ .

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If the nominal rate of growth is

17 %

and inflation is

9 %

for the five years. Let

P

be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after

6

years is______.

MEDIUM

Mathematics>Algebra>Product of Expressions and Identities>Identities

The solution set of the inequation

3^{x} + 3^{1 - x} - 4 < 0,

is

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If

x = \sqrt{3} + \frac{1}{\sqrt{3}}

then

(x - \frac{\sqrt{126}}{\sqrt{42}}) (x - \frac{1}{x - \frac{2 \sqrt{3}}{3}}) =

HARD

Mathematics>Algebra>Product of Expressions and Identities>Identities

Find the number of positive integers less than

101

that cannot be written as the difference of two squares of integers.

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

If

a + \frac{1}{a} = 8, t h e n a^{3} + \frac{1}{a^{3}} = ?

MEDIUM

Mathematics>Algebra>Product of Expressions and Identities>Identities

Solve the following equation and verify the answer:

$3 (x + 6) + 2 (x + 3) = 64$

MEDIUM

Mathematics>Algebra>Product of Expressions and Identities>Identities

Solve the given equation and verify the answer:

$\frac{3 x}{10} - 4 = 14$

MEDIUM

Mathematics>Algebra>Product of Expressions and Identities>Identities

Solve the following equation and verify the answer:

$16 (3 x - 5) - 10 (4 x - 8) = 40$

EASY

Mathematics>Algebra>Product of Expressions and Identities>Identities

(x - 6) (x - 6) = ?

MEDIUM

Mathematics>Algebra>Product of Expressions and Identities>Identities

If

x + \frac{1}{x} = 5

, the value of

\frac{x^{4} + 1}{x^{2}}

is :