NIMCET 2008 — Reasoning PYQ

To find the total number of zeros from $1$ to $1000$, we count them based on the number of digits:

1. Single-digit numbers (1-9):

There are 0 zeros.

2. Double-digit numbers (10-99):

Zeros appear in numbers like $10,20,30,\dots ,90$.

There are 9 zeros.

3. Triple-digit numbers (100-999):

• Zeros in the units place: (e.g., $100,110,120\dots 190,200\dots 990$).

  In each hundred (like 100-199), there are $10$ such numbers.

  $$10\times 9=90\text{ zeros}$$

• Zeros in the tens place: (e.g., $100,101,102\dots 109,200\dots 909$).

  In each hundred, there are $10$ such numbers.

  $$10\times 9=90\text{ zeros}$$

• Total for triple digits: $90+90=180$ zeros.

4. The number 1000:

The number $1000$ has 3 zeros.

5. Total Count:

Correct Option: (d)