How many Zeros can be formed by multiplying 10 times; 20

Solution

10 times; 20 times; 30 times; 40 times; ...............times; 2000 10times; 1times; 10times; 2times; 10times; 3times; 10times; 4times; ......................times; 10times; 200 (10)²⁰⁰times; 1times; 2times; 3times; 4times; ................... times;200 Now, if 10¹= 1 zeroes 10²= 2 zeroes 10³= 3 zeroes Then, 10²⁰⁰= 200 zeroes ................(i) Now 1times; 2times; 3times; 4times; .............times; 200 =gt; 200/5 = 40 =gt; 40/5 = 8 =gt; 8/5 = 1 =gt; (40 + 8 + 1) = 49 zeroes Therefore, Required number of Zeroes = 200 + 49 = 249