CBSE Class 10 Maths (Standard) 2020 · Paper 30/5/1 · Question 22(b)

Real Numbers 2 marks Medium

Check whether

1 2^{n}

can end with the digit

0

for any natural number

n

Answer

No.

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

has no factor of

5

, so it is never divisible by

10

; hence

1 2^{n}

can never end with the digit

0

for any natural number

n

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