Past Paper of PAF Initial test

The Past Paper of PAF Initial Test is an essential resource for candidates preparing for the various roles within the Pakistan Air Force, including Airman, Aerotrade, GC, Provost, MTD, and Fire Fighter. By studying the MCQs related to these Past Paper of  PAF initial tests, candidates can gain valuable insights into the types of questions they may encounter.

This preparation from these Past paper of PAF Initial Test not only boosts confidence but also enhances the likelihood of passing the initial tests of Airman and FMA tests. Utilizing the Past Paper of PAF Initial Test ensures that candidates are well-equipped with the knowledge and skills needed to succeed in their assessments.

Q: What is the term for the arrangement of columns and rows in square brackets?

  • A) Array
  • B) Matrix
  • C) Table
  • D) Grid
    Answer: B) Matrix.

Q: What is the determinant of the matrix [2 3; 2 2]?

  • A) 4
  • B) -2
  • C) 6
  • D) 0
    Answer: B) -2.

Q: What is the reciprocal of cot(θ)?

  • A) Cosec
  • B) Sin
  • C) 1/Tan
  • D) Sec
    Answer: C) 1/Tan.

Q: What is the reciprocal of 1/cosec(θ)?

  • A) Cosec
  • B) Sin
  • C) Tan
  • D) Cot
    Answer: B) Sin.

Q: How many degrees is 2π radians equal to?

  • A) 180 degrees
  • B) 360 degrees
  • C) 90 degrees
  • D) 270 degrees
    Answer: B) 360 degrees.

Q: How many degrees is 3π/2 radians equal to?

  • A) 180 degrees
  • B) 270 degrees
  • C) 360 degrees
  • D) 90 degrees
    Answer: B) 270 degrees.

Q: How many degrees is 3π/3 radians equal to?

  • A) 90 degrees
  • B) 180 degrees
  • C) 270 degrees
  • D) 360 degrees
    Answer: B) 180 degrees.

Q: When are two matrices conformable for multiplication?

  • A) When the number of rows is equal
  • B) When the number of columns in the first matrix is equal to the number of rows in the second matrix
  • C) When both matrices are square
  • D) When both matrices are equal
    Answer: B) When the number of columns in the first matrix is equal to the number of rows in the second matrix.

Q: In the ratio A, what is “A” called?

  • A) Consequent
  • B) Antecedent
  • C) Proportion
  • D) Dividend
    Answer: B) Antecedent.

Q: In the ratio A, what is “b” called?

  • A) Dividend
  • B) Antecedent
  • C) Quotient
  • D) Consequent
    Answer: D) Consequent.

Q: What do you call a relationship where increasing one quantity decreases the other?

  • A) Direct
  • B) Proportional
  • C) Inverse
  • D) Constant
    Answer: C) Inverse.

Q: If a team wins 5 matches and loses 7 matches, what is the ratio of matches won to lost?

  • A) 7:5
  • B) 5:7
  • C) 12:5
  • D) 1:2
    Answer: B) 5:7.

Q: What is a matrix called if its transpose is equal to the negative of the matrix?

  • A) Symmetric matrix
  • B) Skew symmetric matrix
  • C) Identity matrix
  • D) Null matrix
    Answer: B) Skew symmetric matrix.

Q: What is the arrangement of columns and rows in square brackets commonly referred to as?

  • A) Table
  • B) Array
  • C) Matrix
  • D) List
    Answer: C) Matrix.

Q: What is the determinant of the matrix [2 3; 2 2]?

  • A) 0
  • B) 2
  • C) -2
  • D) 4
    Answer: C) -2.

Q: What is the value of cot(θ)?

  • A) Tan
  • B) 1/Tan
  • C) Sin
  • D) Cos
    Answer: B) 1/Tan.

Q: What is the reciprocal of 1/cosec(θ)?

  • A) Tan
  • B) Sin
  • C) Cot
  • D) Cos
    Answer: B) Sin.

Q: How many degrees is 2π radians equal to?

  • A) 180 degrees
  • B) 360 degrees
  • C) 90 degrees
  • D) 270 degrees
    Answer: B) 360 degrees.

Q: How many degrees is 3π/2 radians equal to?

  • A) 180 degrees
  • B) 270 degrees
  • C) 360 degrees
  • D) 90 degrees
    Answer: B) 270 degrees.

Q: How many degrees is 3π/3 radians equal to?

  • A) 60 degrees
  • B) 90 degrees
  • C) 180 degrees
  • D) 270 degrees
    Answer: C) 180 degrees.

Q: When are two matrices conformable for multiplication?

  • A) When the number of rows and columns are equal in both matrices
  • B) When the number of columns in the first matrix is equal to the number of rows in the second matrix
  • C) When both matrices are square
  • D) When both matrices have the same number of rows
    Answer: B) When the number of columns in the first matrix is equal to the number of rows in the second matrix.

Q: In the ratio A, what is “A” called?

  • A) Consequent
  • B) Antecedent
  • C) Dividend
  • D) Proportion
    Answer: B) Antecedent.

Q: In the ratio A, what is “b” called?

  • A) Antecedent
  • B) Consequent
  • C) Dividend
  • D) Quotient
    Answer: B) Consequent.

Q: What is the term for a relationship in which increasing one quantity causes another quantity to decrease?

  • A) Direct
  • B) Proportional
  • C) Inverse
  • D) Constant
    Answer: C) Inverse.

Q: If a team wins 5 matches and loses 7 matches, what is the ratio of matches won to matches lost?

  • A) 7:5
  • B) 5:7
  • C) 12:5
  • D) 1:2
    Answer: B) 5:7.

Q: What is the name for the equation X² – 16 = 0?

  • A) Linear equation
  • B) Quadratic equation
  • C) Pure quadratic equation
  • D) Polynomial equation
    Answer: C) Pure quadratic equation.

Q: What is the solution for the equation W³⁷ + W³⁷ – 5 = ?

  • A) 0
  • B) -5
  • C) W²
  • D) 5
    Answer: B) -5.

Q: What is the value of 2π?

  • A) 180 degrees
  • B) 360 degrees
  • C) 90 degrees
  • D) 270 degrees
    Answer: B) 360 degrees.

Q: What is the value of 3π/2?

  • A) 180 degrees
  • B) 270 degrees
  • C) 360 degrees
  • D) 90 degrees
    Answer: B) 270 degrees.

Q: In the ratio A, what is “A” called?

  • A) Consequent
  • B) Antecedent
  • C) Dividend
  • D) Quotient
    Answer: B) Antecedent.
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Q: In the ratio A, what is “B” called?

  • A) Antecedent
  • B) Consequent
  • C) Dividend
  • D) Quotient
    Answer: B) Consequent.

Q: What do you call an angle less than 90 degrees in terms of quadrants?

  • A) 2nd quadrant
  • B) 3rd quadrant
  • C) 4th quadrant
  • D) 1st quadrant
    Answer: D) 1st quadrant.

Q: What is the definition of cumulative frequency?

  • A) The total frequency of all data points
  • B) The frequency up to a certain point in a data set
  • C) The average of all frequencies
  • D) The highest frequency in a data set
    Answer: B) The frequency up to a certain point in a data set.

Q: Food is to eating as book is to?

  • A) Writing
  • B) Reading
  • C) Studying
  • D) Literature
    Answer: B) Reading.

Q: What is the task when you are given an equation and asked to find its alpha and beta roots?

  • A) To calculate the sum of the roots
  • B) To factor the equation
  • C) To find the alpha and beta roots of the equation
  • D) To graph the equation
    Answer: C) To find the alpha and beta roots of the equation.

Q: How do you determine whether the roots of an equation are imaginary or real?

  • A) By the coefficients of the equation
  • B) By calculating the discriminant
  • C) By graphing the equation
  • D) By factoring the equation
    Answer: B) By calculating the discriminant.

Q: What is the term “Antecedent” related to?

  • A) Geometry
  • B) Ratios or proportions
  • C) Algebraic equations
  • D) Probability
    Answer: B) Ratios or proportions.

Q: How can you represent the proportion of a, b, c, and d in ratio form?

  • A) a + b + c + d
  • B) a:b:c
  • C) (a, b, c, d)
  • D) abc*d
    Answer: B) a:b:c.

Q: What are the “extreme” and “mean” in a mathematical context?

  • A) The highest and lowest values in a set
  • B) The first and last terms in a sequence; the average or middle value
  • C) The first and second terms in a sequence
  • D) The total value of all terms
    Answer: B) The first and last terms in a sequence; the average or middle value.

Q: Can you provide an example of a matrix equation?

  • A) x + y = z
  • B) A + B = C
  • C) x² – 1 = 0
  • D) y = mx + b
    Answer: B) A + B = C

Q: What is an “Identity matrix”?

  • A) A rectangular matrix
  • B) A square matrix with ones on the main diagonal and zeros elsewhere
  • C) A matrix with all elements equal
  • D) A diagonal matrix with negative values
    Answer: B) A square matrix with ones on the main diagonal and zeros elsewhere.

Q: What kind of line passes through the center of a circle?

  • A) Radius
  • B) Chord
  • C) Diameter
  • D) Tangent
    Answer: C) Diameter.

Q: What is the “angle of elevation”?

  • A) The angle between two horizontal lines
  • B) The angle formed between the horizontal and the line of sight to an object above the horizontal level
  • C) The angle between two vertical lines
  • D) The angle of depression
    Answer: B) The angle formed between the horizontal and the line of sight to an object above the horizontal level.

Q: What is the definition of a “Pure quadratic equation”?

  • A) A quadratic equation with linear terms
  • B) A quadratic equation with constant terms only
  • C) A quadratic equation with no linear or constant terms
  • D) A first-degree polynomial equation
    Answer: C) A quadratic equation with no linear or constant terms.

Q: Can you provide a description of a “quadratic equation”?

  • A) A first-degree polynomial equation
  • B) A second-degree polynomial equation that can be written in the form ax² + bx + c = 0
  • C) A third-degree polynomial equation
  • D) An equation with only one variable
    Answer: B) A second-degree polynomial equation that can be written in the form ax² + bx + c = 0.

Q: What is the significance of a circle passing through the vertices of a quadrilateral?

  • A) It indicates that the quadrilateral is a square
  • B) It shows the quadrilateral is cyclic and has specific geometric properties
  • C) It makes the quadrilateral a rectangle
  • D) It has no significance
    Answer: B) It shows the quadrilateral is cyclic and has specific geometric properties.

Q: What is the term for the expression b² – 4ac in a quadratic equation?

  • A) Factor
  • B) Root
  • C) Discriminant
  • D) Coefficient
    Answer: C) Discriminant.

Q: How much is 1 Mega equal to?

  • A) 10⁶
  • B) 10⁸
  • C) 10⁹
  • D) 10¹²
    Answer: C) 10⁶.

Q: What is a set with only one element called?

  • A) Empty set
  • B) Singleton set
  • C) Finite set
  • D) Infinite set
    Answer: B) Singleton set.

Q: What happens to the sum of angles when they add up to 90 degrees?

  • A) They are called supplementary
  • B) They are called complementary
  • C) They are called adjacent
  • D) They are called vertical
    Answer: B) They are called complementary.

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