📚 CBSE Grade-10 Study Guide
HomeMathematics — Standard (041)

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

Q1. [1]
For any natural number n, $5^n$ ends with the digit :
  1. A 0
  2. B 5
  3. C 3
  4. D 2
Previously asked in CBSE board exam
2026 30/2/1 Q3
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

Answer: B — 5

Since $5^1=5,\ 5^2=25,\ 5^3=125,\ldots$, every power of 5 ends with the digit 5 for any natural number $n$.

Explanation

The units digit of powers of 5 follows a fixed pattern: it is always 5. This is because $5\times5$ always gives a product ending in 5. The prime factorisation of $5^n$ contains only the prime 5, so it can never end in 0 (which would require factors of both 2 and 5). Source: Chapter 1, Section 1.2 (Fundamental Theorem of Arithmetic).

If a question refers to an image, map, graph or diagram that is not shown here, find the actual CBSE question paper 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.