0 votes 0 votes How many trailing zeros will be there after the rightmost non-zero digit in the value of 25! ? Quantitative Aptitude test-series general-aptitude quantitative-aptitude + – LRU asked Nov 11, 2021 LRU 566 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
5 votes 5 votes @LRU @@ 6 .. 25! means factorial 25 whose value = 25 × 24 × 23 × 22 × .... × 1 .. When a number that is a multiple of 5 is multiplied with an even number, it results in a trailing zero. (Product of 5 and 2 is 10 and any number when multiplied with 10 or a power of 10 will have one or as many zeroes as the power of 10 with which it has been multiplied) .. In 25!, the following numbers have 5 as their factor: 5, 10, 15, 20, and 25… 25 is the square of 5 and hence it has two 5s in it. In toto, it is equivalent of having six 5s… There are at least 6 even numbers in 25! Hence, the number 25! will have 6 trailing zeroes in it... Awe111 answered Nov 11, 2021 Awe111 comment Share Follow See all 0 reply Please log in or register to add a comment.