1st year Math MCQs

Handwritten notes of all Chapters of 1st year Math MCQs written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of 1st year Math MCQs for the students of Mathematics of the Intermediate and these are according to the paper patterns of all Punjab boards.

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• The equation in which variable occurs in exponent , called: (a) Exponential function (b) Quadratic equation (c) Reciprocal equation (d) ✔Exponential equation
• The equations involving redical expressions of the variable are called: (a) Reciprocal equations(b) ✔ Redical equations (c) Quadratic functions (d) exponential equations 
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• Sum of all cube roots of 64 is : (a) ✔0 (b) 1 (c) 64 (d) -64
• Product of cube roots of -1 is: (a) 0 (b) -1 (c) ✔1 (d) None
• The sum of all four fourth roots of unity is: (a) Unity (b) ✔0 (c) -1 (d) None 
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• The product of all four fourth roots of unity is: (a) Unity (b) 0 (c) ✔-1 (d) None 
• The sum of all four fourth roots of 16 is: (a) 16 (b) -16 (c) ✔ 0 (d) 1
• The complex cube roots of unity are………each other. (a) Additive inverse (b) Equal to (c) ✔Conjugate (d) None of these
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• The complex cube roots of unity are………each other. (a) Multiplicative inverse (b) reciprocal (c) square (d) ✔None of these
• The complex fourth roots of unity are ……. of each other. (a) ✔Additive inverse (b) equal to (c) square of (d) None of these
• If product of all cube roots of unity is equal to 𝒑 𝟐 + 𝟏 , then 𝒑 is equal to: (a) −1 (b) ✔ 0 (c) ±𝑖 (d) 1
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• . If 𝒇(𝒙) is divided by 𝒙 − 𝒂 , then dividend = (Divisor)(…….)+ Remainder. (a) Divisor (b) Dividend (c) ✔ Quotient (d) 𝑓(𝑎)
• If 𝒇(𝒙) is divided by 𝒙 − 𝒂 by remainder theorem then remainder is: (a) ✔ 𝑓(𝑎) (b) 𝑓(−𝑎) (c) 𝑓(𝑎) + 𝑅 (d) 𝑥 − 𝑎 = 𝑅 
• The polynomial (𝒙 − 𝒂) is a factor of 𝒇(𝒙) if and only if (a) ✔ 𝑓(𝑎) = 0 (b) 𝑓(𝑎) = 𝑅 (c) Quotient = 𝑅 (d) 𝑥 = −a
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• Graph of quadratic equation is: (a) Straight line (b) Circle (c) square (d) ✔Parabola
• Synthetic division is a process of: (a) Addition (b) multiplication (c) subtraction (d) ✔ division
• Degree of quadratic equation is: (a) 0 (b)1 (c) ✔2 (d) 3
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• Basic techniques for solving quadratic equations are (a) 1 (b) 2 (c) ✔3 (d) 4 
• An open sentence formed by using sign of “ = ” is called a/an (a) ✔Equation (b) Formula (c) Rational fraction (d) Theorem
• If an equation is true for all values of the variable, then it is called: (a) a conditional equation (b) ✔ an identity (c) proper rational fraction (d) All of these 
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• (𝒙 + 𝟑)(𝒙 + 𝟒) = 𝒙𝟐 + 𝟕𝒙 + 𝟏𝟐 is a/an: (a) Conditional equation (b) ✔an identity (c) proper rational fraction (d) a formula 
• The quotient of two polynomials 𝑷(𝒙)/ 𝑸(𝒙) , 𝑸(𝒙) ≠ 𝟎 is called : (a) ✔Rational fraction (b) Irrational fraction (c) Partial fraction (d) Proper fraction
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• A fraction 𝑷(𝒙) /𝑸(𝒙) , 𝑸(𝒙) ≠ 𝟎 is called proper fraction if : (a) ✔Degree of 𝑃(𝑥) < Degree of 𝑄(𝑥) (b) Degree of 𝑃(𝑥) = Degree of 𝑄(𝑥)
• A fraction 𝑷(𝒙) 𝑸(𝒙) , 𝑸(𝒙) ≠ 𝟎 is called proper fraction if : (a) Degree of 𝑃(𝑥) < Degree of 𝑄(𝑥) (b) Degree of 𝑃(𝑥) = Degree of 𝑄(𝑥) (c) Degree of 𝑃(𝑥) > Degree of 𝑄(𝑥) (d) ✔ Degree of 𝑃(𝑥) ≥ Degree of 𝑄(𝑥)
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• A mixed form of fraction is : (a) An integer+ improper fraction (b) a polynomial+improper fraction (c) ✔a polynomial+proper fraction (d) a polynomial+rational fraction
• When a rational fraction is separated into partial fractions, then result is always : (a) A conditional equations (b) ✔an identity (c) a partial fraction (d) an improper fraction
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• A quadratic factor which cannot written as a product of linear factors with real coefficients is called: (a) ✔An irreducible factor (b) reducible factor (c) an irrational factor (d) an improper factor
• An arrangement of numbers according to some definite rule is called: (a) ✔Sequence (b) Combination (c) Series (d) Permutation
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• A sequence is also known as: (a) Real sequence (b) ✔Progression (c) Arrangement (d) Complex sequence
• A sequence is function whose domain is (a) 𝑍 (b) 𝑁 (c) 𝑄 (d) ✔ R
• Solution set of the equation 𝒙 𝟐 − 𝟒𝒙 + 𝟒 = 𝟎 is: (a) {2, −2}      (b) ✔ {2}        (c) {−2}     (d) {4, −4} 
• As sequence whose range is 𝑹 𝒊. 𝒆., set of real numbers is called: (a) ✔Real sequence (b) Imaginary sequence (c) Natural sequence (d) Complex sequence
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