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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 8 TestUNIT 8: Logic

30 marks · 40 minutes · 21 questions. Covers: UNIT 8: Logic.

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9th Class Mathematics Chapter 8 Test

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. The circumference of a circle with radius r is:

    1. None of these

  2. The statement " A straight line can be drawn between any two points" is:

    1. Theorem

    2. Conjecture

    3. Axiom

    4. Logic

  3. Which of the following expression is often related to inductive reasoning?

    1. Based on repeated experiments

    2. If and only if statements

    3. Statement if proven by a theorem

    4. Based on general principles

  4. A sentence or mathematical expression which may be true of false but not both is called:

    1. Argument

    2. Statement

    3. Proof

    4. Check

  5. The statement is called:

    1. Conditional 

    2. Biconelitional

    3. Conjunction

    4. Disjunction

  6. Contrapositive of is:

  7. A conditional is regarded as false only when:

    1. Antecedent is true and consequent is false

    2. Consequent is true and antecedent is false

    3. Antecedent is true only

    4. Consequent is false only

  8. Which of the following statement is best to represent the negation of the statement "The stove is burning"?

    1. The stove is not burning

    2. The stove is dim

    3. The stove is turned to low heat

    4. It is both burning and not burning

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Formulate simple deductive proof's of the following algebraic expression, prove that L.H.S is equal to the R.H.S.

  2. Define tautology.

  3. The sum of the interior angles of a triangle is 180o.

  4. If x and y are positive real numbers and then .

  5. Define induction.

  6. Define disjunction.

  7. Differentiate between a mathematical statement and its proof. Give two examples.

  8. What do you mean by implication or conditional.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Prove the following statement: If x is an even integer then show that is even.

  2. Prove that where a,b,c and d are non-zero real numbers.

  3. Prove that: