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MATHS Assertion (A) & Reason (B) MCQ

Factorization · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 60 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

MCQ 511 Mark
Assertion (A): The common factor of x3y2 and x4y is x3y.
Reasons (R): The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 521 Mark
Assertion (A): The common factor of x2y2 and x3y3 is x2y2
Reasons (R): The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 531 Mark
Assertion (A): The common factor of p3q4 and p4q3 is p3q3
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 541 Mark
Assertion (A): The common factor of a2m4 and a4m2 is a2m4
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.
Answer
Correct option: D.
A is false but R is true.
D
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MCQ 551 Mark
Assertion (A): The common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is 4a2b.
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.
Answer
Correct option: D.
A is false but R is true.
D
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MCQ 561 Mark
Assertion (A): The common factor of 6a3b4c2, 21a2b and 15a3 is 3a2
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 571 Mark
Assertion (A): The common factor of 3a2b4c2, 12b2c4 and 15a3b4c4 is 15b2c4
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.
Answer
Correct option: D.
A is false but R is true.
D
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MCQ 581 Mark
Assertion (A): The common factor of 36p2q3x4, 48pq3x2 and 54p3q3x4 is 6pq3x2
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 591 Mark
Assertion (A): The common factor of 24x3y4, 36x4z4 and 48x3y2z is 12x3
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A.
A
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MCQ 601 Mark
Assertion (A): The common factor of 14a2b and 35a4b2 is 14a2b
Reasons (R): A common factor is a number that can be divided into two different numbers, without leaving a remainder.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • ✓
    A is false but R is true.
Answer
Correct option: D.
A is false but R is true.
D
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Assertion (A) & Reason (B) MCQ - Page 2 - MATHS STD 8 Questions - Vidyadip