CBSE Class 10 Maths (Basic) 2025 · Paper 430/5/1 · Question 21

Real Numbers 2 marks Medium

Check whether

1 5^{n} \times 2^{n}

n

being a natural number, ends with the digit zero.

Answer

Yes.

1 5^{n} \times 2^{n} = 3^{n} \times 5^{n} \times 2^{n} = 3^{n} \times 1 0^{n}

; its prime factorisation contains both

2

and

5

, so it is divisible by

10

and ends with the digit

0

for every natural number

n

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