Question

How many five digit positive integers exist whose sum of digits is odd?

• A. $45000$
• B. $36000$
• C. $40000$
• D. $32000$

Answer 1

Answer: (A)

$45000$

There are $9\times {10}^4=90000$ five digit Positive integers.

Out of these $90000$ Integers sum of the digits of half of the numbers will be odd.

Hence,

$\frac{90000}{2}=45000$ five digit positive integers are there , whose digit sum gives an odd number.

Hence the correct answer is $45000$