Question

Pn = (ax 5)n. For pn to end with the digit zero a =_
for natural no. n
(a) any natural number
(b) even number
(c) odd number
(d) none
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Answer 1

Answer:

Option (c) Odd Number.

Step-by-step explanation:

Given,

Pn = (ax 5)n.

To Find,

The number n.

Here,

Number $5^{n}$, where nϵN

Now $5^{n}$ = $(5X1)^{n}$

Now, for $5^{n}$ to end with 0, it should have 5 in its prime factors. Also to end with 5, of require at least a single multiple of 5 in its prime factors, so $5^{n}$cannot end with the digit 0 or 5.

Therefore, n is an odd number.

#SPJ2

Answer 2

Answer:

(b) Even Number

(2*5) =10 is ending with zero

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