Explanation

In the sentence "Such was not my intention, such is...", the word "such" is used as a pronoun.

It refers back to the previous idea of "not my intention."

Explanation

Arable قابل کاشت

An arable land is fertile land suitable for farming. This option fits the context of the sentence

Explanation

Myths خرافات

"Myths" fits best because myths are false beliefs or stories, making them the opposite of realities.

Explanation

Seditionبغاوت

"Sedition" refers to conduct or speech inciting people to rebel against the authority of a state.

Explanation

"Coveted" means to desire something that belongs to someone else, often with envy or longing.

Explanation

We are given: (-2x)^3

To solve this, we need to cube both -2 and x separately:

(-2)^3 * x^3

Calculating the cube of -2:

(-2) * (-2) * (-2) = -8

So, the expression becomes:

-8 * x^3

Explanation

Note: The answer given in the FPSC answer key is (a) but the actual answer is (b)

To simplify the expression (x^(1/2)) * (x^(-1/2)), we can use the rule of exponents:

x^a * x^b = x^(a+b)

Applying this rule, we get:

(x^(1/2)) * (x^(-1/2)) = x^(1/2 + (-1/2)) = x^0

Any number raised to the power of 0 is equal to 1.

Therefore, (x^(1/2)) * (x^(-1/2)) = 1.

Explanation

To calculate the average (or mean) of a data set, you use the formula:

Average=Sum of all values/Number of values​

Given:

• The sum of all 10 values in the data set is 10.
• The number of values is 10.

Using the formula:

Average=10/10​=1

Explanation

Explanation

To solve the equation:

x​/2−x​/4=2

we can start by finding a common denominator for the terms on the left side.

The common denominator for $frac{x}{2}$ and $frac{x}{4}$is 4, so we rewrite the equation as:

$$frac{2x}{4} - frac{x}{4} = 2$$

Now, combine the fractions on the left side:

2x−x​/4=2

This simplifies to:

x/4​=2

Now, multiply both sides by 4 to isolate $x$

$$x = 8$$