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 $x$

$$x = 8$$

Explanation

A triangle has three edges

Its three sides.

It also has three vertices, which are each corner where two edges meet.

Explanation

The mean is a measure of location or measure of central tendency of the distribution on its scale.

Explanation

Note: The answer given in the FPSC answer key is (c) but the actual answer is 512.

Explanation

A line has no end points, a ray has one endpoint and a line segment has two endpoints.

Explanation

• The series alternates between subtracting 1 and adding 2:
  • 12 → 11 (subtract 1)
  • 11 → 13 (add 2)
  • 13 → 12 (subtract 1)
  • 12 → 14 (add 2)
  • 14 → 13 (subtract 1)

Following this alternating pattern, the next step should be adding 2 to 13:

$$13 + 2 = 15$$

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

You (the husband)

Your wife

Two sons

Each son has one sister, which means there is one daughter (not two, as both sons share the same sister)

So, the family consists of:

2 parents (you and your wife)

2 sons

1 daughter

Adding them up:2+2+1=5

Explanation

To find the percentage of 0.001, follow these steps:

1. Multiply the number by 100 to convert it into a percentage:

   $$0.001\times 100=0.1$$

2. So, 0.001 as a percentage is 0.1%.

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