Integer X represents the product of all integers between 1 to 29 (inclusive). The smallest prime factor of (x+1) must be Choose the correct choice from the following answers:
A) Between 1 to 10
B) Between 11 to 15
C) Between 15 to 20
D) Between 20 to 29
E) Greater than 29
Answer = E = Greater than 29   This problem is asking smallest prime factor of (25!+1)   29! already have there prime factors 2,3,5,7,11,13.......... so on upto 29 (1 cannot be considered prime factor)   Just adding 1 to 29! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 29   Answer = Greater than 29
<result>E</result>
Integer X represents the product of all integers between 1 to 29 (inclusive). The smallest prime factor of (x+1) must be