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

Q1. [1] § Chapter Opening and Epigraph § 14.1 Probability — A Theoretical Approach
One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 7 is :
  1. A $\dfrac{1}{7}$
  2. B $\dfrac{1}{8}$
  3. C $\dfrac{1}{5}$
  4. D $\dfrac{7}{40}$
Previously asked in CBSE board exam
2024 30/5/1 Q7
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer

Option (A) $\dfrac{1}{7}$

Multiples of 7 from 1 to 40 are: 7, 14, 21, 28, 35 → 5 outcomes.
Total outcomes = 40.
P = $\dfrac{5}{40} = \dfrac{1}{8}$

Correct answer: B $\dfrac{1}{8}$

Explanation

Count multiples of 7 up to 40 carefully: 7×1=7, 7×2=14, 7×3=21, 7×4=28, 7×5=35 — that's exactly 5. Dividing 5/40 simplifies to 1/8. Option A (1/7) is a common error from mistakenly using 7 as the numerator. Always list and count favourable outcomes before applying the formula.

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