Three distinct numbers are selected from 1 to 20. The probability that they are in G.P is `(p)/(q)`, where `p, q` are relatively prime. Then the number of prime divisors of `pq` is

Let OABC be a regular tetrahedron of edge length unity.Its volume be V and 6V=sqrt((p)/(q)) where p and q are relatively prime.The find the value of (p+q)

If p,q in N and 0,12=(p)/(q) where p and q are relatively prime then identify which of the following is incorrect

Integers a,b,c and d not necessarily distinct,are chosen independently and at random from the set S={0,1,2,3 ,.......2018,2019} .If the probability that (ad-bc) is even,is (p)/(9) where p and q are relatively prime,then find the value of (p+q)

Three different numbers are selected at random from the set A={1,2,3,……..,10} . Then the probability that the product of two numbers equal to the third number is (p)/(q) , where p and q are relatively prime positive integers then the value of (p+q) is :

A card is drawn from a pack, the card is replaced & the pack shuffled. If this is done 6 times, the probability that the cards drawn are 2 hearts, 2 diamonds & 2 black cards is p/q then total number of proper divisors of (pq). Where p & q are co-prime natural numbers).

If the probability that the product of the outcomes of three rolls of a fair dice is a prime number is p ,then the value of 1/(4p) is

Let a,b,c,d are distinct numbers to be chosen from the set {1,2,3,4,5}. If the least possible positive solution for x to the system of equations ax+by=1cx+dy=2} can be expressed in the form (p)/(q) where p and q are relatively prime,then find the value of (p+q).

If a 9 digit number is formed using the digits 1 to 9 without repetition and if the probability that they will be divisible by 11 is (p)/(q) , then [(p+q)/(100)] equals ______(p and q are prime to each other). Where [] is the greatest integer function.