PAF Initial Test Preparation | Mathematics Test Mcqs Ep#3

Get ready for your PAF Initial Test with this must-try Mathematics post by EduSmart! This set of MCQs is perfect for all PAF vacancies: GDP, CAE, LOG, AD, ADMIN, SSC, AIRMAN, and FMA. Every question is selected based on the PAF exam, so you are fully prepared for your test.

At the end of this post, you will find a Mock Test that you can try out. So, this is a complete package for your preparation.

Start your preparation for acing your PAF Initial Test with EduSmart for the best coaching!

PAF Mathematics Important Mcqs Part-3

Section-1:

If x + 5 = 12, what is the value of x?
A) 7
B) 17
C) 5
D) 17
Correct Answer: A) 7
Explanation:
To solve for x, subtract 5 from both sides:
x = 12 – 5 = 7.

What is the value of 3² + 4²?
A) 12
B) 25
C) 20
D) 16
Correct Answer: B) 25
Explanation:
3² + 4² = 9 + 16 = 25.

The perimeter of a rectangle is 2(l + w). If the length is 5 cm and width is 3 cm, what is the perimeter?
A) 16 cm
B) 8 cm
C) 15 cm
D) 18 cm
Correct Answer: A) 16 cm
Explanation:
Perimeter = 2(5 + 3) = 2(8) = 16 cm.

What is the value of 7 × 6?
A) 35
B) 42
C) 48
D) 56
Correct Answer: B) 42
Explanation:
7 × 6 = 42.

If the area of a circle is πr² and r = 3, what is the area?
A) 9π
B) 3π
C) 6π
D) 12π
Correct Answer: A) 9π
Explanation:
Area = π(3)² = 9π.

Section-2:

Simplify: 4x + 3x – 2x.
A) 5x
B) 3x
C) 4x
D) 6x
Correct Answer: A) 5x
Explanation:
4x + 3x – 2x = (4 + 3 – 2)x = 5x.

What is the slope of the line represented by y = 2x + 3?
A) 3
B) 2
C) -2
D) -3
Correct Answer: B) 2
Explanation:
The slope is the coefficient of x, which is 2.

Solve for x: 5x – 3 = 17.
A) 4
B) 5
C) 3
D) 2
Correct Answer: A) 4
Explanation:
5x = 17 + 3 = 20, so x = 20 / 5 = 4.

What is the quadratic formula?
A) x = -b ± √(b² – 4ac) / 2a
B) x = -b ± √(b² + 4ac) / 2a
C) x = (b² – 4ac) / 2a
D) x = -b ± √(b² – ac) / 2a
Correct Answer: A) x = -b ± √(b² – 4ac) / 2a
Explanation:
This is the standard quadratic formula used to solve for x in quadratic equations.

If 4a = 2b and b = 6, what is the value of a?
A) 3
B) 6
C) 12
D) 24
Correct Answer: A) 3
Explanation:
4a = 2b, so 4a = 2(6) = 12, therefore a = 12 / 4 = 3.

Section-3:

What is the square root of 64?
A) 6
B) 8
C) 10
D) 12
Correct Answer: B) 8
Explanation:
The square root of 64 is 8.

Solve: 3y + 4 = 19.
A) 5
B) 6
C) 7
D) 3
Correct Answer: A) 5
Explanation:
3y = 19 – 4 = 15, so y = 15 / 3 = 5.

What is the perimeter of a square with side length 6 cm?
A) 12 cm
B) 24 cm
C) 18 cm
D) 36 cm
Correct Answer: B) 24 cm
Explanation:
Perimeter of square = 4 × side length = 4 × 6 = 24 cm.

What is the area of a triangle with base 10 cm and height 5 cm?
A) 15 cm²
B) 25 cm²
C) 50 cm²
D) 10 cm²
Correct Answer: A) 15 cm²
Explanation:
Area of a triangle = 1/2 × base × height = 1/2 × 10 × 5 = 15 cm².

Solve: 2(x + 3) = 16.
A) 4
B) 5
C) 6
D) 3
Correct Answer: B) 5
Explanation:
2(x + 3) = 16, divide by 2: x + 3 = 8, so x = 8 – 3 = 5.

Section-4:

What is (3² + 4²) ÷ 7?
A) 3
B) 2
C) 5
D) 6
Correct Answer: B) 2
Explanation:
(3² + 4²) = 9 + 16 = 25, and 25 ÷ 7 ≈ 2.

What is 25% of 200?
A) 50
B) 100
C) 25
D) 75
Correct Answer: A) 50
Explanation:
25% of 200 = (25/100) × 200 = 50.

If a train travels 60 miles per hour, how far will it travel in 3 hours?
A) 120 miles
B) 180 miles
C) 200 miles
D) 240 miles
Correct Answer: A) 120 miles
Explanation:
Distance = speed × time = 60 miles/hour × 3 hours = 120 miles.

Solve for y: y/3 = 12.
A) 36
B) 24
C) 18
D) 10
Correct Answer: A) 36
Explanation:
y = 12 × 3 = 36.

The sum of the angles in a triangle is:
A) 180°
B) 360°
C) 90°
D) 270°
Correct Answer: A) 180°
Explanation:
The sum of the angles in any triangle is always 180°.

Section-5:

What is the value of 5³?
A) 125
B) 25
C) 15
D) 75
Correct Answer: A) 125
Explanation:
5³ = 5 × 5 × 5 = 125.

What is the volume of a cube with side length 4 cm?
A) 64 cm³
B) 16 cm³
C) 32 cm³
D) 48 cm³
Correct Answer: A) 64 cm³
Explanation:
Volume of a cube = side³ = 4³ = 64 cm³.

What is 7! (7 factorial)?
A) 5040
B) 720
C) 1000
D) 49
Correct Answer: A) 5040
Explanation:
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.

PAF Initial Test Preparation Mathematics Mock Test-3

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