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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 1.4 Summary
The ratio of HCF to LCM of the least composite number and the least prime number is :
  1. (a) $1:2$
  2. (b) $2:1$
  3. (c) $1:1$
  4. (d) $1:3$
Previously asked in CBSE board exam
2023 30/4/1 Q1
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer

(a) 1:2

Least composite number = 4; least prime number = 2. HCF(4, 2) = 2, LCM(4, 2) = 4. Ratio of HCF to LCM = 2:4 = 1:2.

Explanation

The least composite number is 4 (smallest number with more than two factors) and the least prime is 2. Students must recall these definitions clearly. HCF is the smaller (2) and LCM is the larger (4), giving ratio 1:2. A common mistake is confusing composite with even, or reversing the ratio.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.