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

Q1. [1] § Chapter Opening and Epigraph § 14.2 Summary
The probability for a randomly selected number out of 1, 2, 3, 4, ..., 25 to be a composite number is :
  1. A $\frac{15}{25}$
  2. B $\frac{10}{25}$
  3. C $\frac{11}{25}$
  4. D $\frac{9}{25}$
Previously asked in CBSE board exam
2026 30/2/1 Q18
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

Composite numbers from 1 to 25: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25 → 15 composite numbers.

$$P(\text{composite}) = \frac{15}{25}$$

Answer: A $\dfrac{15}{25}$

Explanation

Composite numbers are numbers greater than 1 that are not prime (and not 1). Students often forget that 1 is neither prime nor composite, and may miscount primes (2,3,5,7,11,13,17,19,23 = 9 primes). So composites = 25 − 9 primes − 1 = 15. Option A is correct.

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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.