If a and b are two numbers belonging to the set `{1,2,….100}`, then the number of pairs `(a,b)` such that product of a and b is divisible by 3 is

If a and b are any two distinct numbers belonging to the set {1,2,......100}, then the number of pairs (a, b) such that product of a and b is divisible by 3 is 5478 2. 5278 3. 2739 3. 2639 5. 2837

The number of ordered pairs (m,n),m,n in{1,2,...,100} such that 7^m + 7^n is divisible by 5 is

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

Two different numbers are selected at random from the set S={1, 2, 3, ……10}, then the probability that sum of selected numbers is divisible by 2 a/b, where a and b are co-prime then b is equal to ___.

Let A and B be two finite sets, then the number of functions from A to B is

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

Given below are two pairs of statements. Combine these two statements using if and only if: p : if the sum of the digits of a number is divisible by 3, then the number is divisible by 3. q : if a number is divisible by 3, then the sum of its divisible by 3.

Two number aa n db aer chosen at random from the set of first 30 natural numbers. Find the probability that a^2-b^2 is divisible by 3.

If the total number of ways of selecting two numbers from the set {1, 2, 3, ……….., 89, 90} such that their sum is divisible by 3 is k, then (k)/(500) is

If a is an irrational number which is divisible by b, then the number b