The number of ways of selecting two numbers from the set `{1,2,……………12}` whose sun is divisible by 3 is (A) 66 (B) 16 (C) 6 (D) 22

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

The total number of ways of selecting two numbers from the set {1,2, 3, 4, ........3n} so that their sum is divisible by 3 is equal to a. (2n^2-n)/2 b. (3n^2-n)/2 c. 2n^2-n d. 3n^2-n

n is selected from the set {1, 2, 3,.............,100} and the number 2^n+3^n+5^n is formed. Total number of ways of selecting n so that the formed number is divisible by 4 is equal to (A) 50 (B) 49 (C) 48 (D) None of these.

The total number of ways of selecting 4 letters from the word NARAYANA is: (A) 10 (B) 9 (C) 12 (D) none of these

The number of ways to select 2 numbers from {0, 1, 2, 3, 4} such that the sum of the squares of the selected numbers is divisible by 5 are (repetition of digits is allowed).

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

Consider a skew - symmetric matrix A=[(a,b),(-b, c)] such that a, b and c are selected from the set S={0, 1, 2, 3,…………12}. If |A| is divisible by 3, then the number of such possible matrices is

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 ___.

A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is (a) 2/3 (b) 1/6 (c) 1/3 (d) (11)/(30)

Two numbers x and y are chosen at random (without replacement) from among the numbers 1,2,3,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4