Class 9 Mathematics · Chapter 4 · Test 3
GCD and LCM
40 MCQs
40 questions · 35 min · 40 marks
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Sample questions
The first 5 of 40. Try each one, then tap to see the answer.
Question 1
The HCF of two or more algebraic expressions is:
- Athe greatest expression that divides all of them exactly
- Bthe smallest expression divisible by all of them
- Cthe sum of the expressions
- Dthe product of the expressions
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Answer: A
The HCF is the greatest expression dividing all the given expressions without a remainder.
Question 2
The HCF of algebraic expressions can be found by:
- Aaddition and subtraction
- Bonly graphs
- Cfactorization and division methods
- Donly substitution
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Answer: C
The two methods taught are by factorization and by division.
Question 3
Find the HCF of 6x²y and 9xy²:
- A6xy
- B3xy
- C3x²y²
- D18x²y²
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Answer: B
The HCF of 6 and 9 is 3 and the lowest powers of x and y are x and y.
Question 4
Find the HCF of 21x²y and 35xy²:
- A21xy
- B35xy
- C5xy
- D7xy
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Answer: D
The HCF of 21 and 35 is 7 and the lowest powers give xy.
Question 5
Find the HCF of 4x² − 9y² and 2x² − 3xy:
- A2x − 3y
- B2x + 3y
- Cx
- D4x² − 9y²
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Answer: A
4x² − 9y² = (2x − 3y)(2x + 3y) and 2x² − 3xy = x(2x − 3y) so the HCF is 2x − 3y.
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