Question
How many Zeros can be formed by multiplying 10 times; 20
times; 30 times; 40 times; ...............times; 2000?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
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