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The number 1, 2, 3, 4, ...., 1000 are multiplied together. The number of zeros at the end (on the right) of the product must be :
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- 30
- 200
- 211
- 249
- 30
Correct Option: D
Zeros are obtained if there is any zero at the end of any multiplicand and if 5 or multiple of 5 are multiplied by any even number. i.e. (5)n (2)m has n zeros if n < m or m zeros if m < n
Now, we obtain the index of 5 as follows :
| index = |  |  | + | | | + | | | + | | | ||||
| 5 | 52 | 53 | 54 |
= 200 + 40 + 8 + 1 = 249.
Certainly, n will be less than m.
∴ Number of zeros = 249
