Chapter-11 Finding Common Ground — Online MCQ Test
MATHS (KANITHA PRAKASH) · CLASS 7th · Karnataka State Board
Practice Chapter-11 Finding Common Ground with a free chapter-wise online MCQ test.
This chapter covers: HCF - LCM - optimization - factors - multiples.
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Chapter-11 Finding Common Ground — Important Questions & Answers
What is the full form of HCF?
- A. Highest Common Factor
- B. Highest Common Figure
- C. High Calculation Formula
- D. Horizontal Common Factor
Answer: A. Highest Common Factor
HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.
HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.
What is the full form of LCM?
- A. Least Common Multiple
- B. Large Common Multiple
- C. Lowest Calculation Method
- D. Least Common Measure
Answer: A. Least Common Multiple
LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more given numbers.
LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more given numbers.
Find the HCF of 15 and 25 using prime factorization.
- A. 3
- B. 5
- C. 15
- D. 75
Answer: B. 5
15 = 3 × 5 and 25 = 5 × 5. The common prime factor is 5, so HCF = 5.
15 = 3 × 5 and 25 = 5 × 5. The common prime factor is 5, so HCF = 5.
Compare: HCF(12, 18) ___ HCF(15, 25)
- A. Greater than
- B. Less than
- C. Equal to
- D. Cannot be determined
Answer: A. Greater than
HCF(12, 18) = 6 and HCF(15, 25) = 5. Since 6 > 5, HCF(12, 18) is greater than HCF(15, 25).
HCF(12, 18) = 6 and HCF(15, 25) = 5. Since 6 > 5, HCF(12, 18) is greater than HCF(15, 25).
The factors of 28 are 1, 2, 4, 7, 14, 28. The sum of all factors is ___.
- A. 56
- B. 42
- C. 48
- D. 112
Answer: A. 56
Sum = 1 + 2 + 4 + 7 + 14 + 28 = 56. This is a direct calculation of the sum of all factors.
Sum = 1 + 2 + 4 + 7 + 14 + 28 = 56. This is a direct calculation of the sum of all factors.