Explanation

A decade consists of 10 years.

It is a period of ten consecutive years.

Explanation

Teacher means استاد 

Student means طالب علم 

Doctor means معالج 

Patient means مریض

Explanation

Given:

Zˣ = 32

Since 32 is a power of 2:

32 = 2⁵

So, Zˣ = 2⁵

Now, equate the exponents:

X = 5

Now, find X²:

X² = 5² = 25

Explanation

Given log₁₂(12³) = x:

Using logarithm properties, logₐ(aⁿ) = n:

x = 3

Explanation

The hands of a clock coincide 22 times in a 24-hour day.

• The hour and minute hands coincide once every 65 minutes (60 minutes + 5 minutes).
• Since there are 24 hours in a day, the hands coincide 24 x (24/65) = 22 times in a 24-hour day.

Explanation

The number of diagonals in a polygon can be calculated using the formula:

n(n-3)/2

where n is the number of sides.

For a 12-sided polygon (dodecagon):

n = 12

Number of diagonals = 12(12-3)/2

= 12(9)/2

= 108/2

= 54

Explanation

Let the total number of rabbits = x

Let the total number of pigeons = y

total number of head = 20 

                x + y = 20        eq (1)

total number of feet = 48 

             4x  +2y  = 48

              2x + y   = 24    eq (2)

Subtracting equation (2) from eq (1)

   2x + y -x - y = 24 -20

        x = 4

Explanation

A prime number has exactly two factors: 1 and itself.

The number 1 is not a prime number because it has only one factor (itself).

Explanation

Vertical angles that are opposite to each other are also Equal

Explanation

The pattern of the series is:

+3, +7, +11, +15, +19...

So, the next difference should be +23:

57 + 23 = 80

The correct answer is 80.