The greatest integer by which `1+sum_(r=1)^(30)rxxr !` is divisible is a. composite number b. odd number c. divisible by 3 d. none of these

The greatest integer which divides the number 101^(100)-1 is

The number (101)^(100)-1 is divisible by

The number (101)^100-1 is divisible by

Sum of 1st pth natural odd number is

Find the sum of the numbers from 1 to 100 which are not divisible by 3 and 5.

The sum of integer in between 1 to 100 which is divisible by 2 or 5 is

The sum of the integer from 1 to 100 which is not divisible by 3 or 5 is

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If the sum of digits in a positive integer n is divisible by 9 , then the number is divisibel by 9 q : If a positive integer n is divisible by 9 , then the sum of the digits in n is divisible by 9 .

Find the sum of all three-digit natural numbers, which are divisible by 7.

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.