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The numbers 2, 4, 6, 8 ...., 98, 100 are multiplied together. The number of zeros at the end of the product must be :
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- 13
- 12
- 11
- 10
Correct Option: C
A product gets 0 at its end when
(i) a multiple of 5 is multiplied by an even number or
(ii) a multiple of 10 is multiplied by any number.
All the given numbers are even and do not contain any multiple of 5. So, zeros at the end of the product will come only on multiplications by multiples of 10.
Multiples of 10 that lie in the given range from 2 to 100 are 10, 20, 30, 40,50, 60, 70, 80, 90 and 100. Each of these multiples will yield one zero except 100 which will yield two zeros at the end of the product.
∴ Total no. of zeros at the product = 9 + 2 = 11
