📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
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.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.