Understanding Inequalities

Which of the following is not an example of 'slack inequality' ?

Which of the following is an example of literal inequality ?

Which one of the following is a numeral Inequality ?

Given that $x>y$. Fill in the blank with suitable inequality sign.

If $x^2+9=6x$, find the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$.

Find the option which is true.

$$\begin{gathered} 4x^2-4x-3=0 \\ 4y^2+4y-3=0 \end{gathered}$$

Direction : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
Quantity I: x, such that $12x^2-5x-3=0$
Quantity II: $\mathrm{y},$ such that $3y^2-11y+6=0$

Direction : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.

Quantity I: $x,$ such that $12x^2-5x-3=0$
Quantity II: $y$, such that $3y^2-11y+6=0$

Direction : In these questions, a relationship between different elements is shown in the statement(s). The statements are followed by Some conclusions. Give answer

Statements:
J  ≥  A > D = E; L < A < M
Conclusions:
I. M < J
II. J > L
III. D > L
IV. E < M

If $\left|x\right|\ge 3$, then $x\in$

If $-8\le 5x-3<7$, then $x\in$

If $3(2-x)\ge 2(1-x)$, then $x\in$

If $3(x-1)\le 2(x-3)$, then $x\in$

If $3\left(a^2+b^2+c^2\right)=(a+b+c{)}^2,$ then the relation between $a, b, c$ is

$X=$ Difference between expenditure and saving of B.

$Y=$ Difference between expenditure and saving of D.

Quantity A: In the mixture of Sulphur and metal borax of $1 kg$ volume, $14\%$ is sulphur. How much amount of metal borax needs to add, so that proportion of sulphur becomes $4\%$?

Quantity B: The Bura sugar sold by a shopkeeper contained $28\%$ of poor quality Bura sugar. What quantity of good quality of Bura sugar should be added to $250 kg$ of Bura sugar so that the proportion of poor quality Bura sugar becomes $5\%$?

Quantity A: A box contains $3$white buttons, $5$ red buttons and $4$ black buttons. In how many ways in which $3$ buttons can be drawn so that at least $1$ of the button is red?

Quantity B: An institute have $12$ men and $8$ women. $4$ persons are to be selected as a volunteer in which at least $1$ man is there. In how many ways can it be done?

Quantity I:

If the ratio of the present age of Shami and Jasprit is $7:8$. After $10$ years from now the ratio of Jasprit and his sister Hasin is $5:2$. Difference between the ages of Shami and Jasprit after $15$ years is $5$ years. Then find the Hasin age after $7$ years.

Quantity II:

$x^2 - 91x + 2070 = 0$

Quantity III:

$175 \mathrm{m}$ long train crosses another train of length $100 \mathrm{m}$ in $15$ seconds, running in the same direction. If the speed of the first train is $90 \mathrm{km}/\mathrm{hr}$, then find the speed of the second train (in $\mathrm{km}/\mathrm{hr}$).

Quantity I:

Sparsh, Vinay and Uma invested $Rs.4000, Rs.6000$and $Rs.9000$ respectively to start a business. At the end of one year they earned a profit of $Rs.15400$. What will be Vinay’s share in the profit?

Quantity II:

Ashish saves $20\%$ of his monthly salary. If on account of dearness of things, he is to increase his monthly expenses by $20\%$ and he is only able to save $Rs.200$ per month. What is his monthly salary?

Quantity III:

$40 \% of 10000 = ?$

In the question, two quantities are given numbered I and II. Compare these quantities and mark your option.

Quantity I:

Eighteen women can complete work in $12$ days and $12$ men can complete the same work in $9$ days. Eight women and $6$ men worked together for $6$ days and then $4$ women and $3$ men were replaced by $4$ boys. If the work was completed in $6$ more days, then find the time taken by the $16$ boys to complete the work.

Quantity II:

The speeds of a bull and a cow are $4.9$ km/day and ‘$x$’ km/day respectively. They start traveling towards each other and together cover a distance of $102$ km in $12$ days before meeting with each other. How long will the cow take to cover a distance of $32.4$ km?