A) 30
B) 12
C) 42
D) 6
Correct Answer: B
Solution :
\[{{15}^{30}}\times {{10}^{12}},\] number of zeroes in any product depends upon the presence of number of 5's and number of 2's in it \[{{15}^{30}}\times {{10}^{12}}={{3}^{30}}\times {{5}^{30}}\times {{2}^{12}}\times {{5}^{12}}={{2}^{12}}\times {{3}^{30}}\times {{5}^{42}}\] The product has 12, 2's and 42 5's. So, the number of zeroes is 12. (5's alone cannot give 10, same number of 2's are required)
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