A class VI mathematics teacher posed the following problem to her students:…
2025
A class VI mathematics teacher posed the following problem to her students: “In a morning walk, three persons started together. Their steps measure 70 cm, 85 cm and 95 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?” Which of the following concepts would be required to solve the given problem?
- A.
Concept of LCM
- B.
Concept of division
- C.
Concept of proportion
- D.
Concept of HCF
Attempted by 94 students.
Show answer & explanation
Correct answer: A
To solve the problem, we need to find the minimum distance that is a multiple of all three step lengths: 70 cm, 85 cm, and 95 cm. This is because each person must cover the same distance in complete steps, meaning the total distance must be divisible by each person's step length.
The smallest such distance is the least common multiple (LCM) of the three numbers. LCM gives the smallest number that is a multiple of all given numbers.
Therefore, the concept of LCM is required to solve this problem.
हिन्दी उत्तर:
समस्या को हल करने के लिए, हमें तीनों कदमों की लंबाई (70 सेमी, 85 सेमी और 95 सेमी) का लघुत्तम समापवर्त्य (LCM) ज्ञात करना होगा। ऐसी न्यूनतम दूरी जो प्रत्येक व्यक्ति के कदमों की लंबाई से विभाज्य हो, वह LCM होती है।
इसलिए, इस समस्या को हल करने के लिए LCM की अवधारणा की आवश्यकता होती है।