If D is a positive integer and F is the product of the first 30 integers, what is the calue of D.
1. 10^d is a factor of F
2. d> 6
1. 10^d is a factor of F
2. d> 6
F=Product of first 30 integers.30!
D is a positive integer.
stmt1,
10^D is a factor of F.
To find the number of 10's we must need to find number of 5's in 30!
30/5+30/25=6+1=7
Number of 10's in 30!=7
10 is a factor of F.
100 is also a factor of F.
We don't know about D.
Insuff
stmt2,
D>6
Still there are many values of D that can be a factor of F.
Insuff
Combining 1 and 2,
D>6.Do D=7
-->10^7 is a factor of F.
Suff.
Pick C
F has 7 zeroes only..Am I missing something?
