CBSE Class 10 Mathematics Basic 2026: question 2
Set in the CBSE Class 10 board exam of 2026, paper 430/2/1, section A, question 2, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q2 · 1 mark · MCQReal Numbers
The number , where n is a natural number, cannot end with the digit :
- (A)4
- (B)6
- (C)2
- (D)0
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/2/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
List the last digits of 2, 4, 8, 16, 32, ...
Hint 2
Which prime factors does a number ending in 0 need?
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
For a number to end in 0 it must have both 2 and 5 as prime factors.
- 1 mark
The only prime factor of is 2, so can never end with 0. The answer is option (D).
Answer: 0, option (D)
Where the marks are
- Uses prime factorisation (no factor 5) to conclude the digit 0 (1 mark)
Revise the chapter
- Chapter: Real Numbers (notes, formulas, where marks are lost and every past question)
- Topic: Fundamental Theorem of Arithmetic
More questions from Real Numbers
- 2026 board paper, set 430/2/1 (Basic), Q19 · 1 markAssertion (A) : The prime numbers which divide 36 also divide 6. Reason (R) : Any number which divides p² also…
- 2026 board paper, set 430/2/1 (Basic), Q26(b) · 3 marksState the 'Fundamental Theorem of Arithmetic' and use it to find LCM of 36 and 54.
- 2026 board paper, set 430/3/1 (Basic), Q2 · 1 mark3^n, where n is a natural number, cannot end with the digit:
The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.