Explanation

To find 25 percent of 400, you can calculate it by multiplying 400 by 0.25 (which represents 25 percent in decimal form):

25% of 400 = 0.25 * 400 = 100

Explanation

The expression √8-√2 simplifies to √2.

Explanation

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Out of the given options:

18 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

27 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

30 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

36 is a perfect square because it can be expressed as 6×6=36, where 6 is an integer.

Explanation

If you are standing at position 11 and there are an equal number of people on either side of you, then the total number of people in the row would be:

11 + 11 = 22

However, if we exclude yourself, the total number of people would be:

22 − 1 = 21

Explanation

As music is composed by a composer, similarly, a horse is typically the offspring of a foal.

Therefore, the correct analogy is:

Horse : Foal

Explanation

To find the number, we can set up the equation:

Let x be the number.

Given that 40% of the number is 24:

0.40 × x=24

To solve for x, we divide both sides by 0.40: 

x = 24/0.40

x =60

So, the number is 60.

Therefore, the correct answer is 60.

Explanation

The pattern observed in converting the names to numbers suggests the following:

For Ahmed:

A = 0

H = 2

M = 1

E = 3

D = 4

For Zeshan:

Z = 5

E = 6

S = 7

H = 8

A = 9

N = 0

Applying the same pattern to Hamza:

H = 7

A = 8

M = 1

Z = 5

A = 8

Therefore, Hamza corresponds to 78185.

Explanation

In the number 3794, the digit 9 is in the hundreds place.

To understand place value, each digit in a number occupies a specific position that represents its value relative to the place it occupies. In the number 3794, the digit 9 is in the hundreds place, which means it represents 9 hundreds or 900.

So, the place value of 9 in the number 3794 is indeed hundreds.

Explanation

Choice $\mathrm{C}$ is correct. This is a proportion problem. If $x$ is the number of loggers needed to chop down 20 trees,

then we form the proportion 8 loggers : 28 trees $=20$ loggers : $x$ trees, or $\frac{8}{28}=\frac{20}{x}$. Solving for $x$, we get $x=\frac{(28)(20)}{8}$, or $x=70$