If x + 5 ≥ 10 , then

x ∈ ( - ∞ , - 15 ] ∪ [ 5 , ∞ )

x ∈ - ∞ , - 15 ∪ [ 5 , ∞ )

MEDIUM

Earn 100

The square of a number increased by $12$ is $48$ . Find the greatest number.

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Important Questions on Equation

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The least positive integer

n

for which

\sqrt{n + 1} - \sqrt{n - 1} < 0.2

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The solution set of the inequation

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

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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>Equation>Solution of Linear Equation in One Variable

The maximum value of

z = 7 x + 5 y

subject to

2 x + y \leq 100, 4 x + 3 y \leq 240, x \geq 0, y \geq 0

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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?

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The number of integers satisfying the inequality

|n^{2} - 100| < 50

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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_____.

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The number of non-negative integer solutions of the equations

6 x + 4 y + z = 200

and

x + y + z = 100

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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>Equation>Solution of Linear Equation in One Variable

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?

HARD

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The solution set of the rational inequality

\frac{x + 9}{x - 6} \leq 0

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

A man standing on a railway platform notices a train moving at uniform speed took

21

seconds to cross the platform which is

88

meters long and that it took

9

seconds to pass him. Then, the length of the train in meters is

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The smallest prime number satisfying the inequality

\frac{2 n - 3}{3} \geq \frac{n - 1}{6} + 1

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

The speed of a boat in still water and the speed of the current is in ratio $5 : 1$ . If the difference between distances covered by the boat in going $2 hours$ upstream and $2 hours$ downstream is $8 km$ .

I. Quantity I - Speed of boat in still water

II. Quantity II -A cyclist goes $30 km$ in $3 hours$

Find the relation between these two quantities.

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

For all

n \in ℕ, n \in ℕ,

, if

1^{2} + 2^{2} + 3^{2} + \dots + n^{2} > x

, then

x =

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

|x + 5| \geq 10

, then

MEDIUM

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

Let

x = [\frac{a + 2 b}{a + b}]

and

y = \frac{a}{b}

, where

a

and

b

are positive integers. If

y^{2} > 2

, then

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

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

EASY

Mathematics>Algebra>Equation>Solution of Linear Equation in One Variable

If g.c.d.

(24, 20) = 3 x + 1

, then

x =

_____

The square of a number increased by 12 is 48. Find the greatest number.

Important Questions on Equation

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The square of a number increased by $12$ is $48$ . Find the greatest number.