Question

In a function hall, 21 yellow chairs, 42 red chairs and 56 orange chairs have to be put in a row such that each row contains the same number of chairs of one colour only. The minimum number of rows in which the chairs may be arranged is:

• A. 17
• B. 21
• C. 27
• D. 34

Hint:

Minimum rows $\implies$ Maximum items per row (HCF).

Answer 1

The Correct Option is A

Step 1: Concept
HCF and its application in grouping.

Step 2: Analysis
To minimize rows, we maximize chairs per row by finding the HCF of 21, 42, and 56.

Step 3: Calculation
HCF(21, 42, 56) = 7.
Number of rows = $(21/7) + (42/7) + (56/7) = 3 + 6 + 8 = 17$.

Step 4: Conclusion
The minimum number of rows required is 17. Final Answer: (A)