Home
Class 12
MATHS
If a, b, c in N, the probability that a^...

If `a, b, c in N`, the probability that `a^(2)+b^(2)+c^(2)` is divisible by 7 is `(m)/(n)` where m, n are relatively prime natural numbers, then m + n is equal to :

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

Similar Questions

Explore conceptually related problems

Given that sum_(k=1)^35 sin5k^@ = tan(m/n)^@ , where m and n are relatively prime positive integers that satisfy (m/n)^@<90^@ , then m + n is equal to

A fair coin is tossed 10 times. If the probability that heads never occur on consecutive tosses be (m)/(n) (where m, n are coprime and m, n in N ), then the value of (n-7m) equals to :

if a N= {a x:x in N} and b N cap c N = dN , where b,c in N are relatively prime , then

Let S={(x,y)|x,y in R, x^2+y^2-10x+16=0} . The largest value of y/x can be put in the form of m/n where m, n are relatively prime natural numbers, then m^2+n^2=

Define a function phi:NtoN as follows phi(1)=1,phi(P^(n))=P^(n-1)(P-1) is prime and n epsilonN and phi(mn)=phi(m)phi(n) if m & n are relatively prime natural numbers. phi(8n+4) when n epsilonN is equal to

A bag contains 10 balls of which some are black and others are white. A person draws 6 balls & finds that 3 of them are white & 3 of them are black. Find probability that number of white balls in bag are same as black balls is m/n , (where m and n are relatively prime) , then which of the following is/are True? m+n=43 (b) m-n=23 m n=330 (d) m+n=40

If m= ""^(n) C_(2), then ""^(m) C_(2) is equal to

A sum of money is rounded off to the nearest rupee, if ((m)/(n))^2 be the probability that the round off error is atleast ten prizes, where m and n are positive relative primes, then value of (n-m) is

Define a function phi:NtoN as follows phi(1)=1,phi(P^(n))=P^(n-1)(P-1) is prime and n epsilonN and phi(mn)=phi(m)phi(n) if m & n are relatively prime natural numbers. The number of natural numbers n such that phi(n) is odd is

If the papers of 4 students randomly distributed for checking among 7 teacher, then the probability that all the 4 papers are checked by exactly 2 teachers is n/m where n, m are natural number and HCF(n,m)=1 . Then number of positive divisiors of (n+m) is