Home
Class 11
MATHS
Consider the number, N 5768PO2Q If P =...

Consider the number, N 5768PO2Q
If P = 2 and the number N is divisible by 3, them find number of possible values of Q.

Text Solution

Verified by Experts

The number is divisible by 3 iff 5+7+6+8+P+0+2+Q=a multiple of 3.
`implies` 28+2+Q is multiple of 3. So,Q=0,3,6,9
So, 4 values of Q are possible.
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

Consider the number, N 5768P02Q If N is divisible by both 8 and 9 , then find the number of possible ordered pairs of (P,Q).

Consider the number, N 5768P02Q If N is divisible by 4, them find the ordered pairs of (P,Q).

Consider a number n=21P53Q4.Number of values of Q so that the number 'N' is divisible by 8, is

Consider a number N=21P53Q4. Number of ordered pairs (P,Q) so that the number 'N' is divisible by 44, is

Consider a number N=21P53Q4 .Number of ordered pairs (P,Q) so that the number 'N' is divisible by 9, is

If n is even then the expression n(n^(2)+20) is divisible by the numbers, are -

10^(n)+3*4^(2)+5 is always divisible by the number -

Two finite sets A and B have respectively p and q elements. If the total number of subsets of A is 56 more than the total number of subsets of B, then find the values of p and q.

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 .

There are n distinct points on the circumference of a circle. If the number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles, then the value of n is-