Chapter Exam

Chapter-11 Finding Common Ground — Online MCQ Test

Q: What is the full form of HCF?

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.

Q: What is the full form of LCM?

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.

Q: Find the HCF of 15 and 25 using prime factorization.

Answer: B. 5 — 15 = 3 × 5 and 25 = 5 × 5. The common prime factor is 5, so HCF = 5.

Q: Compare: HCF(12, 18) ___ HCF(15, 25)

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).

Q: The factors of 28 are 1, 2, 4, 7, 14, 28. The sum of all factors is ___.

Answer: A. 56 — Sum = 1 + 2 + 4 + 7 + 14 + 28 = 56. This is a direct calculation of the sum of all factors.

MATHS · Grade 7 · CBSE(NCERT)

Practice Chapter-11 Finding Common Ground with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 7 MATHS. This chapter covers: HCF - LCM - optimization - factors - multiples. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-11 Finding Common Ground — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-11 Finding Common Ground, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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).

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.

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